S steiner1745 New member Jun 21, 2009 #2 Use the comparison test. 1/(n+2)*2^n < 1/2^n and Σ 1/2^n is a convergent geometric series, so your original series converges.
Use the comparison test. 1/(n+2)*2^n < 1/2^n and Σ 1/2^n is a convergent geometric series, so your original series converges.