Plotting Sum of series: whats wrong with this code?

Hello everyone

it ask to plot this eq for k from 0 to 100

does anyone knows thats wrong with this code?

clc
clear
syms k 
k = 1:inf;

Requested array exceeds the maximum possible variable size.

F = symsum(((-1)^k+1)/((0.5*k)-0.25),k,1,inf)

plot(k,F)
grid

thanks for your help in advance

regards

Answer 1

[Jan]

"k from 0 to 100" does not match "k = 1:inf;". In the equation, the sum starts at 1, not as 0. I do not see a reason to solve this symbolically.

k = 1:100;
F = cumsum(((-1).^(k+1)) ./ (0.5*k - 0.25));
plot(k,F)
grid

[AliAbKo]

Wonderful.

Thanks dear friend.

Answer 2

[Torsten]

syms k 
K = 1:100;
F = arrayfun(@(K)simplify(symsum((-1)^(k+1)/(0.5*k-0.25),k,1,K)),K)

F = 

figure(1)
hold on
plot(K,double(F),'b')
plot([0 100],[pi pi],'r')
hold off

or the better solution:

k = 1:100;
F = (-1).^(k+1)./(0.5*k-0.25);
sigmaF = cumsum(F);
figure(2)
hold on
plot(k,sigmaF,'b')
plot([0 100],[pi pi],'r')
hold off

[AliAbKo]

that's terrific

thank you