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in Binomial Theorem, Sequences and Series by (46.9k points)
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Find the general term and sum to n terms of the sequence 1, 4/3, 7/9, 10/27, ...

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Denominator 1, 3, 9, 27, which is a G.P. a = 1, r = 3

It is an arithmetico Geometric series. Here the nth term is tn = [a + (n – 1)d]rn - 1 where a = 1, d = 3 and r = 1/3 

Now the sum to n terms is

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