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Mathematics · 2023

JEE Main · 11 April 2023, Shift 1 · Q25

Let S=109+108/5+107/5^2+….+2/(5^107)+1/(5^108). Then the value of (16 S-(25)^-54) is equal to ____

Let $\displaystyle S=109+\frac{108}{5}+\frac{107}{5^2}+\ldots .+\frac{2}{5^{107}}+\frac{1}{5^{108}}$. Then the value of $\displaystyle \left(16 S-(25)^{-54}\right)$ is equal to $\displaystyle \_\_\_\_$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.