SSC CPO SI and ASI Model Paper 7

Question : 133 of 200

Marks: +1, -0

What will be the value of kΣ2 ?

Solution:

Σ↖{k} ↙{n=2 }{2n-1}/{n^2(n-1)^2}=3/4+5/36+7/144+......+{2k-1}/{k^2(k-1)^2}

=[1-1/4]+1/4-1/9]+[1/9-1/16]+.......+[1/{(k-1)^2}-1/k^2]

=1-1/k^2={k^2-1}/k^2

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