The sum to infinity of the series

Question:

The sum to infinity of the series $1+\frac{2}{3}+\frac{6}{3^{2}}+\frac{10}{3^{3}}+\frac{14}{3^{4}}+\ldots$ is :-

  1. 4

  2. 6

  3. 2

  4. 3

Correct Option: , 4

Solution:

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