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Prove by the principle of induction that...

Prove by the principle of induction that for all `n N ,\ (10^(2n-1)+1)` is divisible by 11.

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We can write
`P (n) : 10^(2n - 1) + 1` is divisible by `11`
We note that
`P (1) : 10^(2.1 - 1) + 1 = 10 + 1`, which is divisible by `11`
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RD SHARMA-MATHEMATICAL INDUCTION-Solved Examples And Exercises
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