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Find the sum of n terms of the series 3.1 2 +5.3 2 +7.5 2 +.......

Find the sum of n terms of the series 
3.12+5.32+7.52+.......

Grade:11

1 Answers

Aditya Gupta
2081 Points
5 years ago
Rth term is
(2r+1)*(2r-1)^2,
Which is a cubic in r
Obviously we know ∑r^3, ∑r^2, ∑r, and ∑1, as these are standard results. So simply expand the above expression for term and then apply the standard formulas separately on each power of r!

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