If the sum of the first ten terms of the series 1/5 + 2/65 + 3/325 + 4/1025 + 5/2501 +.... is m/n, where m and n are co-prime numbers, then m + n is equal to _ _ _ _ _ _ _.

Sequence and Series: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jun, Morning shift · Q47

JEE Main 202227 Jun, Morning shiftMathematicsMediumSequence and Series179× since 2002

If the sum of the first ten terms of the series

{1 \over 5} + {2 \over {65}} + {3 \over {325}} + {4 \over {1025}} + {5 \over {2501}} + \,\,....

{m \over n}

, where m and n are co-prime numbers, then m + n is equal to ______________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 · 27 Jun, Morning shift · Q47

JEE Main 202227 Jun, Morning shiftMathematicsMediumSequence and Series179× since 2002

If the sum of the first ten terms of the series

{1 \over 5} + {2 \over {65}} + {3 \over {325}} + {4 \over {1025}} + {5 \over {2501}} + \,\,....

{m \over n}

, where m and n are co-prime numbers, then m + n is equal to ______________.

Your answerType your answer. Integers and decimals are accepted.