Prove by mathematical induction for all positives,
tan-1[1/(2 x 12)] + tan-1[1/(2 x 22)] + ... + tan-1[1/(2n2)] = pi/4 - tan-1[1/(2n+1)]
I have proven it for n=1, but stuck with the proving for n=k+1 part.
Any help would be greatly appreciated, thanks.
tan-1[1/(2 x 12)] + tan-1[1/(2 x 22)] + ... + tan-1[1/(2n2)] = pi/4 - tan-1[1/(2n+1)]
I have proven it for n=1, but stuck with the proving for n=k+1 part.
Any help would be greatly appreciated, thanks.
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