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Question: How to get written out some terms of a sum?

Question:How to get written out some terms of a sum?

janhardo 490 Maple
summation inert
January 19 2022
2

Alternating serie

 

sum((-1)^(n+1)/(2*n-1), n = 1 .. infinity)

(1/4)*Pi

 (1)

 

> 

sum((-1)^(n + 1)/(2*n - 1), n = 1 .. infinity):

sum((-1)^(n+1)/(2*n-1), n = 1 .. 4)

76/105

 (2)
> 

expand(sum((-1)^(n + 1)/(2*n - 1), n = 1 .. 4),symbolic);

76/105

 (3)
> 

?expand
> 

series(sum((-1)^(n + 1)/(2*n - 1), n = 1 .. infinity),n=0,5);

series((1/4)*Pi,n)

 (4)
> 

 

Info series

   

How to get for n= 4  "for (∑)(((-1)^(n+1))/(2 n-1)) = symbolic term 1+ symbolic term 2+... "

 

 

Download onderzoek_reeks_-hoe_krijg_ik_een_partieke_symbolische_som.mw
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