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cos(360×n/2017-180/2017)

Suma de la serie cos(360×n/2017-180/2017)



=

Solución

Ha introducido [src]
 1008                  
 ___                   
 \  `                  
  \      /360*n   180 \
   )  cos|----- - ----|
  /      \ 2017   2017/
 /__,                  
n = 1                  
$$\sum_{n=1}^{1008} \cos{\left(\frac{360 n}{2017} - \frac{180}{2017} \right)}$$
Sum(cos((360*n)/2017 - 180/2017), (n, 1, 1008))
Velocidad de la convergencia de la serie
Respuesta [src]
   /180 \      /540 \      /900 \      /1260\      /1620\      /1980\      /2340\      /2700\      /3060\      /3420\      /3780\      /4140\      /4500\      /4860\      /5220\      /5580\      /5940\      /6300\      /6660\      /7020\      /7380\      /7740\      /8100\      /8460\      /8820\      /9180\      /9540\      /9900\      /10260\      /10620\      /10980\      /11340\      /11700\      /12060\      /12420\      /12780\      /13140\      /13500\      /13860\      /14220\      /14580\      /14940\      /15300\      /15660\      /16020\      /16380\      /16740\      /17100\      /17460\      /17820\      /18180\      /18540\      /18900\      /19260\      /19620\      /19980\      /20340\      /20700\      /21060\      /21420\      /21780\      /22140\      /22500\      /22860\      /23220\      /23580\      /23940\      /24300\      /24660\      /25020\      /25380\      /25740\      /26100\      /26460\      /26820\      /27180\      /27540\      /27900\      /28260\      /28620\      /28980\      /29340\      /29700\      /30060\      /30420\      /30780\      /31140\      /31500\      /31860\      /32220\      /32580\      /32940\      /33300\      /33660\      /34020\      /34380\      /34740\      /35100\      /35460\      /35820\      /36180\      /36540\      /36900\      /37260\      /37620\      /37980\      /38340\      /38700\      /39060\      /39420\      /39780\      /40140\      /40500\      /40860\      /41220\      /41580\      /41940\      /42300\      /42660\      /43020\      /43380\      /43740\      /44100\      /44460\      /44820\      /45180\      /45540\      /45900\      /46260\      /46620\      /46980\      /47340\      /47700\      /48060\      /48420\      /48780\      /49140\      /49500\      /49860\      /50220\      /50580\      /50940\      /51300\      /51660\      /52020\      /52380\      /52740\      /53100\      /53460\      /53820\      /54180\      /54540\      /54900\      /55260\      /55620\      /55980\      /56340\      /56700\      /57060\      /57420\      /57780\      /58140\      /58500\      /58860\      /59220\      /59580\      /59940\      /60300\      /60660\      /61020\      /61380\      /61740\      /62100\      /62460\      /62820\      /63180\      /63540\      /63900\      /64260\      /64620\      /64980\      /65340\      /65700\      /66060\      /66420\      /66780\      /67140\      /67500\      /67860\      /68220\      /68580\      /68940\      /69300\      /69660\      /70020\      /70380\      /70740\      /71100\      /71460\      /71820\      /72180\      /72540\      /72900\      /73260\      /73620\      /73980\      /74340\      /74700\      /75060\      /75420\      /75780\      /76140\      /76500\      /76860\      /77220\      /77580\      /77940\      /78300\      /78660\      /79020\      /79380\      /79740\      /80100\      /80460\      /80820\      /81180\      /81540\      /81900\      /82260\      /82620\      /82980\      /83340\      /83700\      /84060\      /84420\      /84780\      /85140\      /85500\      /85860\      /86220\      /86580\      /86940\      /87300\      /87660\      /88020\      /88380\      /88740\      /89100\      /89460\      /89820\      /90180\      /90540\      /90900\      /91260\      /91620\      /91980\      /92340\      /92700\      /93060\      /93420\      /93780\      /94140\      /94500\      /94860\      /95220\      /95580\      /95940\      /96300\      /96660\      /97020\      /97380\      /97740\      /98100\      /98460\      /98820\      /99180\      /99540\      /99900\      /100260\      /100620\      /100980\      /101340\      /101700\      /102060\      /102420\      /102780\      /103140\      /103500\      /103860\      /104220\      /104580\      /104940\      /105300\      /105660\      /106020\      /106380\      /106740\      /107100\      /107460\      /107820\      /108180\      /108540\      /108900\      /109260\      /109620\      /109980\      /110340\      /110700\      /111060\      /111420\      /111780\      /112140\      /112500\      /112860\      /113220\      /113580\      /113940\      /114300\      /114660\      /115020\      /115380\      /115740\      /116100\      /116460\      /116820\      /117180\      /117540\      /117900\      /118260\      /118620\      /118980\      /119340\      /119700\      /120060\      /120420\      /120780\      /121140\      /121500\      /121860\      /122220\      /122580\      /122940\      /123300\      /123660\      /124020\      /124380\      /124740\      /125100\      /125460\      /125820\      /126180\      /126540\      /126900\      /127260\      /127620\      /127980\      /128340\      /128700\      /129060\      /129420\      /129780\      /130140\      /130500\      /130860\      /131220\      /131580\      /131940\      /132300\      /132660\      /133020\      /133380\      /133740\      /134100\      /134460\      /134820\      /135180\      /135540\      /135900\      /136260\      /136620\      /136980\      /137340\      /137700\      /138060\      /138420\      /138780\      /139140\      /139500\      /139860\      /140220\      /140580\      /140940\      /141300\      /141660\      /142020\      /142380\      /142740\      /143100\      /143460\      /143820\      /144180\      /144540\      /144900\      /145260\      /145620\      /145980\      /146340\      /146700\      /147060\      /147420\      /147780\      /148140\      /148500\      /148860\      /149220\      /149580\      /149940\      /150300\      /150660\      /151020\      /151380\      /151740\      /152100\      /152460\      /152820\      /153180\      /153540\      /153900\      /154260\      /154620\      /154980\      /155340\      /155700\      /156060\      /156420\      /156780\      /157140\      /157500\      /157860\      /158220\      /158580\      /158940\      /159300\      /159660\      /160020\      /160380\      /160740\      /161100\      /161460\      /161820\      /162180\      /162540\      /162900\      /163260\      /163620\      /163980\      /164340\      /164700\      /165060\      /165420\      /165780\      /166140\      /166500\      /166860\      /167220\      /167580\      /167940\      /168300\      /168660\      /169020\      /169380\      /169740\      /170100\      /170460\      /170820\      /171180\      /171540\      /171900\      /172260\      /172620\      /172980\      /173340\      /173700\      /174060\      /174420\      /174780\      /175140\      /175500\      /175860\      /176220\      /176580\      /176940\      /177300\      /177660\      /178020\      /178380\      /178740\      /179100\      /179460\      /179820\      /180180\      /180540\      /180900\      /181260\      /181620\      /181980\      /182340\      /182700\      /183060\      /183420\      /183780\      /184140\      /184500\      /184860\      /185220\      /185580\      /185940\      /186300\      /186660\      /187020\      /187380\      /187740\      /188100\      /188460\      /188820\      /189180\      /189540\      /189900\      /190260\      /190620\      /190980\      /191340\      /191700\      /192060\      /192420\      /192780\      /193140\      /193500\      /193860\      /194220\      /194580\      /194940\      /195300\      /195660\      /196020\      /196380\      /196740\      /197100\      /197460\      /197820\      /198180\      /198540\      /198900\      /199260\      /199620\      /199980\      /200340\      /200700\      /201060\      /201420\      /201780\      /202140\      /202500\      /202860\      /203220\      /203580\      /203940\      /204300\      /204660\      /205020\      /205380\      /205740\      /206100\      /206460\      /206820\      /207180\      /207540\      /207900\      /208260\      /208620\      /208980\      /209340\      /209700\      /210060\      /210420\      /210780\      /211140\      /211500\      /211860\      /212220\      /212580\      /212940\      /213300\      /213660\      /214020\      /214380\      /214740\      /215100\      /215460\      /215820\      /216180\      /216540\      /216900\      /217260\      /217620\      /217980\      /218340\      /218700\      /219060\      /219420\      /219780\      /220140\      /220500\      /220860\      /221220\      /221580\      /221940\      /222300\      /222660\      /223020\      /223380\      /223740\      /224100\      /224460\      /224820\      /225180\      /225540\      /225900\      /226260\      /226620\      /226980\      /227340\      /227700\      /228060\      /228420\      /228780\      /229140\      /229500\      /229860\      /230220\      /230580\      /230940\      /231300\      /231660\      /232020\      /232380\      /232740\      /233100\      /233460\      /233820\      /234180\      /234540\      /234900\      /235260\      /235620\      /235980\      /236340\      /236700\      /237060\      /237420\      /237780\      /238140\      /238500\      /238860\      /239220\      /239580\      /239940\      /240300\      /240660\      /241020\      /241380\      /241740\      /242100\      /242460\      /242820\      /243180\      /243540\      /243900\      /244260\      /244620\      /244980\      /245340\      /245700\      /246060\      /246420\      /246780\      /247140\      /247500\      /247860\      /248220\      /248580\      /248940\      /249300\      /249660\      /250020\      /250380\      /250740\      /251100\      /251460\      /251820\      /252180\      /252540\      /252900\      /253260\      /253620\      /253980\      /254340\      /254700\      /255060\      /255420\      /255780\      /256140\      /256500\      /256860\      /257220\      /257580\      /257940\      /258300\      /258660\      /259020\      /259380\      /259740\      /260100\      /260460\      /260820\      /261180\      /261540\      /261900\      /262260\      /262620\      /262980\      /263340\      /263700\      /264060\      /264420\      /264780\      /265140\      /265500\      /265860\      /266220\      /266580\      /266940\      /267300\      /267660\      /268020\      /268380\      /268740\      /269100\      /269460\      /269820\      /270180\      /270540\      /270900\      /271260\      /271620\      /271980\      /272340\      /272700\      /273060\      /273420\      /273780\      /274140\      /274500\      /274860\      /275220\      /275580\      /275940\      /276300\      /276660\      /277020\      /277380\      /277740\      /278100\      /278460\      /278820\      /279180\      /279540\      /279900\      /280260\      /280620\      /280980\      /281340\      /281700\      /282060\      /282420\      /282780\      /283140\      /283500\      /283860\      /284220\      /284580\      /284940\      /285300\      /285660\      /286020\      /286380\      /286740\      /287100\      /287460\      /287820\      /288180\      /288540\      /288900\      /289260\      /289620\      /289980\      /290340\      /290700\      /291060\      /291420\      /291780\      /292140\      /292500\      /292860\      /293220\      /293580\      /293940\      /294300\      /294660\      /295020\      /295380\      /295740\      /296100\      /296460\      /296820\      /297180\      /297540\      /297900\      /298260\      /298620\      /298980\      /299340\      /299700\      /300060\      /300420\      /300780\      /301140\      /301500\      /301860\      /302220\      /302580\      /302940\      /303300\      /303660\      /304020\      /304380\      /304740\      /305100\      /305460\      /305820\      /306180\      /306540\      /306900\      /307260\      /307620\      /307980\      /308340\      /308700\      /309060\      /309420\      /309780\      /310140\      /310500\      /310860\      /311220\      /311580\      /311940\      /312300\      /312660\      /313020\      /313380\      /313740\      /314100\      /314460\      /314820\      /315180\      /315540\      /315900\      /316260\      /316620\      /316980\      /317340\      /317700\      /318060\      /318420\      /318780\      /319140\      /319500\      /319860\      /320220\      /320580\      /320940\      /321300\      /321660\      /322020\      /322380\      /322740\      /323100\      /323460\      /323820\      /324180\      /324540\      /324900\      /325260\      /325620\      /325980\      /326340\      /326700\      /327060\      /327420\      /327780\      /328140\      /328500\      /328860\      /329220\      /329580\      /329940\      /330300\      /330660\      /331020\      /331380\      /331740\      /332100\      /332460\      /332820\      /333180\      /333540\      /333900\      /334260\      /334620\      /334980\      /335340\      /335700\      /336060\      /336420\      /336780\      /337140\      /337500\      /337860\      /338220\      /338580\      /338940\      /339300\      /339660\      /340020\      /340380\      /340740\      /341100\      /341460\      /341820\      /342180\      /342540\      /342900\      /343260\      /343620\      /343980\      /344340\      /344700\      /345060\      /345420\      /345780\      /346140\      /346500\      /346860\      /347220\      /347580\      /347940\      /348300\      /348660\      /349020\      /349380\      /349740\      /350100\      /350460\      /350820\      /351180\      /351540\      /351900\      /352260\      /352620\      /352980\      /353340\      /353700\      /354060\      /354420\      /354780\      /355140\      /355500\      /355860\      /356220\      /356580\      /356940\      /357300\      /357660\      /358020\      /358380\      /358740\      /359100\      /359460\      /359820\      /360180\      /360540\      /360900\      /361260\      /361620\      /361980\      /362340\      /362700\
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+ \cos{\left(\frac{285300}{2017} \right)} + \cos{\left(\frac{221940}{2017} \right)} + \cos{\left(\frac{158580}{2017} \right)} + \cos{\left(\frac{95220}{2017} \right)} + \cos{\left(\frac{31860}{2017} \right)} + \cos{\left(\frac{31500}{2017} \right)} + \cos{\left(\frac{94860}{2017} \right)} + \cos{\left(\frac{158220}{2017} \right)} + \cos{\left(\frac{221580}{2017} \right)} + \cos{\left(\frac{284940}{2017} \right)} + \cos{\left(\frac{348300}{2017} \right)} + \cos{\left(\frac{336060}{2017} \right)} + \cos{\left(\frac{272700}{2017} \right)} + \cos{\left(\frac{209340}{2017} \right)} + \cos{\left(\frac{145980}{2017} \right)} + \cos{\left(\frac{82620}{2017} \right)} + \cos{\left(\frac{19260}{2017} \right)} + \cos{\left(\frac{44100}{2017} \right)} + \cos{\left(\frac{107460}{2017} \right)} + \cos{\left(\frac{170820}{2017} \right)} + \cos{\left(\frac{234180}{2017} \right)} + \cos{\left(\frac{297540}{2017} \right)} + \cos{\left(\frac{360900}{2017} \right)} + \cos{\left(\frac{323460}{2017} \right)} 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Respuesta numérica [src]
-4.17752781462797089705863676775
-4.17752781462797089705863676775
Gráfico
Suma de la serie cos(360×n/2017-180/2017)

    Ejemplos de hallazgo de la suma de la serie