write the value of n if the sum of n terms of the series 1+3+5+7................to n terms is n^2

We have to find the value of n for which the sum of series 1+3+5+7+....upto n terms is n^{2}.

We see that for n=1, the series have only one term and that is 1 and the sum is also (1)^{2}=1.

Again, for n=2, 1+3=4 which is equal to (2)^{2}.

In the same way we can see that for every vaue of n, the sum of the series of the form 1+3+5+7+..... upto n terms will be of the form n^{2}.

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