I could set up the equation (11/10)n = n+1 but I would not be able to solve it without the aid of a graphing calculator. Using a graphing calculator, I found that for all x > 40, pn is greater than n+1. Thus, I would have proved that when n goes from 1 to positive infinity, the series (33/40)n >...
This is exactly what I am having trouble solving. I could try to move n into the brackets with 3/4.
∑n(3/4)n = ∑(n√n)n(3/4)n = ∑(n√n 3/4)n
Then I am stuck.
Homework Statement
Prove the convergence of this series using the Comparison Test/Limiting Comparison Test with the geometric series or p-series. The series is:
The sum of [(n+1)(3^n) / (2^(2n))] from n=1 to positive ∞
The question is also attached as a .png file
2. Homework Equations
The...