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Question

Show that there is no value of n for which (2n × 5n) ends in 5.

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Solution

We can write:
(2n × 5n) = (2 × 5)n
= 10n

For any value of n, we get 0 in the end.

Thus, there is no value of n for which (2n × 5n) ends in 5.

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