The question is about the series:(adsbygoogle = window.adsbygoogle || []).push({});

sum of (1.01)^n from n=1 to infinity

It asks me to investigate the partial sums for that series and then find an expression for Sn. The partial sum part goes like:

S1=1.01

S2=1.01+(1.01)^2=2.0301

S3=1.01+(1.01)^2+(1.01)^3=3.060401

S4=1.01+(1.01)^2+(1.01)^3+(1.01)^4=4.10100501

etc

I'm stuck on finding the general formula (Sn) for the sequence

1.01, 2.0301, 3.060401, 4.10100501....

My friends and I have only gotten as far as guessing that it might be n+(1/something^something) but I'm wonderfing if there is a better way to find a formula for a sequence of numbers rather than guessing?

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# Homework Help: A series question

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