Compute the partial sums S2, S4 and S6 of the following sequence.

Question

1/9*15 + 1/15*21 + 1/21*27 + 1/27*33 + ...

Answer 1

The terms of the sequence (which makes up the series) are given by

a_n = (6n + 15)/(6n + 9)

S2 = (15/9) + (21/15) = 46/15

Using the definition of the terms you should now be able to compute the other two partial sums.