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Prove by mathematical induction that 10^...

Prove by mathematical induction that `10^(2n-1)+1` is divisible by `11`

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To prove by mathematical induction that \( 10^{2n-1} + 1 \) is divisible by \( 11 \), we will follow the standard steps of mathematical induction: ### Step 1: Base Case We first verify the base case, \( n = 1 \). \[ P(1): 10^{2(1)-1} + 1 = 10^{1} + 1 = 10 + 1 = 11 \] ...
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