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Spot a pattern 2

Algebra Level 3

What is the value of \[1+\dfrac {2}{5^1}+\dfrac {3}{5^2} +\dfrac{4}{5^3} + \dfrac{5}{5^4} + \cdots ?\]

\[\dfrac{5}{4} \] \[\dfrac{1}{25} \] \[\dfrac{25}{16} \] \[\dfrac{16}{25} \]

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by Rohit Udaiwal

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