Find the sum of the following series to n terms:
3 × 12 + 5 × 22 + 7 × 32 + …………..
The nth term will be n2×(2n + 1)
The generalized equation be
We know by property that:
∑axn + bxn - 1 + cxn - 2…….d0=a∑xn + b∑xn - 1 + c∑xn - 2…….. + d0∑1
Thus
………(1)
We know
Substituting the values in (1)
=
=
=
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