If $\sum _ { n = 2 } ^ { \infty } \left( \frac { a } { 1 + a } \right) ^ { n } = 3$ and $a 0$ , determine the value of a.

Name: If $\sum _ { n = 2 } ^ { \infty } \left( \frac { a } { 1 + a } \right) ^ { n } = 3$ and $a > 0$ , determine the value of a.
Brand: Quizplus
Rating: 4.8 (43 reviews)

Question

If $\sum _ { n = 2 } ^ { \infty } \left( \frac { a } { 1 + a } \right) ^ { n } = 3$ and $a > 0$ , determine the value of a.

Quizplus · Accepted Answer

The Answer of If $\sum _ { n = 2 } ^ { \infty } \left( \frac { a } { 1 + a } \right) ^ { n } = 3$ and $a > 0$ , determine the value of a.

If ∑n=2∞(a1+a)n=3\sum _ { n = 2 } ^ { \infty } \left( \frac { a } { 1 + a } \right) ^ { n } = 3∑n=2∞​(1+aa​)n=3

If $\sum _ { n = 2 } ^ { \infty } \left( \frac { a } { 1 + a } \right) ^ { n } = 3$