JEE Math Practice Question
The sum of the infinite series $$1 + {5 \over 6} + {{12} \over {{6^2}}} + {{22} \over {{6^3}}} + {{35} \over {{6^4}}} + {{51} \over {{6^5}}} + {{70} \over {{6^6}}} + \,\,.....$$ is equal to :
- A.$${{425} \over {216}}$$
- B.$${{429} \over {216}}$$
- C.$${{288} \over {125}}$$
- D.$${{280} \over {125}}$$
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