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Check whether \( (26)^{n} \) can end with he digit 5 for any ∀ n ∈ N.

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1 Answer

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(26)n

unit digit of 26 is 6

∴ unit digit of (26)n is 6 ( ∵ 6n always ends with 6)

Hence, (26)n always ends with digit 6\(\forall n\in N\).

∴ (26)n never be end with digit 5

Or for no value of n, (26)n ends with digit 5.

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