# Find the sum of t

The nth term be n(n + 1)(n + 4)

Thus we can write 1.2.5 + 2.3.6 + 3.4.7 + ……..

The general term would be r(r + 1)(r + 4)

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 in (1)

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