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Sequences and Series: JEE Mains 2022 June 29 Shift 2

Hard· Arithmetic-geometric progression· +4 / −1

The sum of the infinite series

1+\dfrac56+\dfrac{12}{6^2}+\dfrac{22}{6^3}+\dfrac{35}{6^4}+\dfrac{51}{6^5}+\dfrac{70}{6^6}+\dots

is equal to :

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