MCQMediumJEE Main 2023 · 11 April, Shift 1Geometric Progression (GP)

Mathematics Question from JEE Main 2023 · 11 April, Shift 1

Let S=109+1085+10752+10653++25107+15108S = 109 + \frac{108}{5} + \frac{107}{5^2} + \frac{106}{5^3} + \cdots + \frac{2}{5^{107}} + \frac{1}{5^{108}}. Then the value of (16S(25)54)\left(16S - (25)^{-54}\right) is equal to:

  • A

    21852185

  • B

    21752175

  • C

    20952095

  • D

    21052105

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