Answer :

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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