Evaluate the series \(\dfrac{1}{3^1}+\dfrac{4}{3^2}+\dfrac{7}{3^3}+\dfrac{10}{3^4}+\cdots\)
The sum of a certain infinite geometric series is 2. The sum of the squares of all the terms is 3. Find the common ratio.
1) ∑[ (3n -2) / 3^n, n, 1,∞] =5/4
2)
See the answer here by Max Wong:
https://web2.0calc.com/questions/the-sum-of-a-certain-infinite-geometric-series-is#r4
