Question

I have this homework and I need to find the formulae for S_n in function of "n" The sum is sum (3)/4^(n+1) n=1 to infinity. I have calculated the first four terms of the series.

These are the first four: 3/16, 3/64,3/256, 3/1024. According my book I have to do:

S1=u1 and S2=S1+u2
S3=S2+u3 S4=S3+u4
As uk=34k+1
Rewriting I got:

uk=34k4 or 3∗4−k−1.

Am I right?? What I can do more from here?

Answer 1

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