Suppose n is an integer in base 10. Note that n^{2} ends with 0 if and only if n ends with 0. Now consider integers represented in base b, where 5 <= b <= 9. Determine for which base b (if any) the following statement is true:

For any integer n, n^{2} ends with 0 if and only if n ends with 0.

^{2}ends with 0 if and only if n ends with 0. Now consider integers represented in base b, where 5 <= b <= 9. Determine for which base b (if any) the following statement is true:^{2}ends with 0 if and only if n ends with 0.## Share this post

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