If S = 7/5 + 9/(5²) + 13/(5³) + 19/(5⁴) +...., then 160 S is equal to _ _ _ _.

Sequence and Series: JEE Main 2021 Mathematics question

JEE Main 2021 · 31 Aug, Evening shift · Q45

JEE Main 202131 Aug, Evening shiftMathematicsMediumSequence and Series179× since 2002

S = {7 \over 5} + {9 \over {{5^2}}} + {{13} \over {{5^3}}} + {{19} \over {{5^4}}} + ....

, then 160 S is equal to ________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 31 Aug, Evening shift · Q45

JEE Main 202131 Aug, Evening shiftMathematicsMediumSequence and Series179× since 2002

S = {7 \over 5} + {9 \over {{5^2}}} + {{13} \over {{5^3}}} + {{19} \over {{5^4}}} + ....

, then 160 S is equal to ________.

Your answerType your answer. Integers and decimals are accepted.