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Recall the fact that the sum of first k odd natural numbers equals k^2

That means the general term of the series is simply k^2




2 5 2
1 + (1+3)+(1+3+5)+..... = this will be something like : 1+4+9+16+25+36.... ....  (ie. the sum of squares of natural numbers)

and the sum of squares of n terms can be given by : n(n+1)(2n+1)/6
2 4 2
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