Q4 of 60 Page 21

Find the sum of the following series to n terms:

1.2.4 + 2.3.7 + 3.4.10 + …………

The nth term be n(n + 1)(3n + 1)


1.2.4 + 2.3.7 + 3.4.10 + …………=


We know by property that:


∑axn + bxn - 1 + cxn - 2…….d0=a∑xn + b∑xn - 1 + c∑xn - 2…….. + d0∑1



…..(1)


We know






Thus from (1)





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