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Find the value of \(\sum _{n=1}^{99}9876^{n} \text{(mod 100)}\)

 Jun 25, 2020
 #1
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As follows:

 

9876n (mod(100)  = 9876 (mod(100)) = 76

 

Hence  \(\Sigma_{n=1}^{99}9876^n (\mod(100) ) = 99*76 = 7524\)

 Jun 25, 2020

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