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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy
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Application +4 | -1
The sum to infinity of the series 1+45+752+1053+…,1 + \frac{4}{5} + \frac{7}{{{5^2}}} + \frac{{10}}{{{5^3}}} + \ldots , is
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Correct option: C
3516\frac{{35}}{{16}}
Option C (35/16) is correct because it is the sum to infinity of the given arithmetico-geometric progression (AGP).

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