Question

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

Answer 1

2n * 5n = 10n2

Any number multiplied by 10 always ends in 0. (The basic test of divisibility rule to check if a number is divisible by 10 is whether the final digit of the number is 0).

Thus, for any value of n, n2 multiplied by 10 will also end in 0. As a result, the value of 10n2 will never end with 5.

Answer 2

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