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Physicsnoob90
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Homework Statement
Determine whether the series is either Converge or Diverge, if it's convergent, find its sum
∑ from n=1 to ∞ of (1+2^n)/(3^n)
Homework Equations
The Attempt at a Solution
Steps:
1) i replaced the (1+2^n) to just (2^n) and my equation behaves like ∑ (2/3)^n which the Radius (2/3) < 1. So it's Convergent.
2) I found that my leading term was 2/3 by n=1
3) i plug everything into my Geometric series formula (2/3)/(1-(2/3), thus giving me an answer of 2.
Problem: the Books answer was 5/2. Can anyone help me out? Thanks!