$$102n$$−$$1+1$$ for all n∈N is divisible by

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Question

$10^{2 n - 1} + 1$ for all $n \in N$ is divisible by

Moderate

Solution

For $n = 1,$ we have
$10^{2 n - 1} + 1 = 10 + 1 = 11$ which is divisible by 11
Similarly, it can be checked that $10^{2 n - 1} + 1$ is divisible by 11.

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