Create a vector to prove a sum of series?
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How can I prove the following series:
π^2/6 = 1 + 1/4 + 1/9 + 1/16 + ...
by creating a vector using colon operators and the function sum.
Thank you so much!
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James Tursa
2016-9-21
Sounds like homework, but I will give you some hints:
v = 1:n; % <-- make a vector with the numbers 1, 2, 3, ..., n
1 ./ whatever % <-- does the divide element-by-element
whatever .^ 2 % <-- does the squaring element-by-element
So you should be able to combine the above operations appropriately to get the approximation you are after. (Although, as a nit, this will not "prove" it).
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