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Question

3+5+7+.......ToNTerm


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Solution

Sn=3+5+7+.......+n

Since above series is an AP with a=3

d=53=2

Therefore,

Sn=n22a+(n-1)d=n22×3+(n-1)2=n26+2n-2=n22n+4=n2×2n+2=n(n+2)

Hence, the required answer is n(n+2).


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