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The sum to n terms of the sequence  loga,logar,logar2, is 

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a
n2log⁡a2rn−1
b
nlog⁡a2rn−1
c
3n2log⁡a2rn−1
d
None of these

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detailed solution

Correct option is A

The given sequence can be expressed aslog⁡a,(log⁡a+log⁡r),(log⁡a+2log⁡r)…which is clearly an A.P. whose first term is log a and common difference is log r.The nth term =log⁡a+(n−1)log⁡rSince sum to n terms s=n2a1+an∴ Sn=n2[log⁡a+log⁡a+(n−1)log⁡r]=n2[2log⁡a+(n−1)log⁡r]=n2log⁡a2rn−1


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If the sum of first n terms of an AP is cn2, then the sum of squares of these  n terms is 


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