3^2n when divided by 8, leaves the remainder 1. – InterviewSolution

1.

3^2n when divided by 8, leaves the remainder 1.

Answer»

3²ⁿ = 9ⁿ = (8+1)ⁿ

so, the binomial expansion of this will always contain a factor of 8 , in the form of 8ⁿ .. but the last term will be 1

so, on dividing it with 8 , 1 will always be there as a reminder.

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