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 If a is the first term, d the common difference and Sk the sum to k terms of an A.P., then for SkxSx to be independent of x

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a
a=2d
b
a=d
c
2a=d
d
None of these

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detailed solution

Correct option is C

We have, SkxSx=kx2[2a+(kx−1)d]x2[2a+(x−1)d]=k[(2a−d)+kxd](2a−d)+xdFor SkxSxto be independent of x, 2a – d = 0 or 2a = d.


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