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Show that 9 n cannot end with 2 for any natural number n.

Show that 9n cannot end with 2 for any natural number n.

Grade:9

1 Answers

Harsh Patodia IIT Roorkee
askIITians Faculty 907 Points
5 years ago
9n=32n= (2+1)2n
Using binomial expansion (a+b)n = nC0 an + nC1an-1b1. . . . . + nCn bn
Above will be ending in odd number or you can show by taking some values of n and see the pattern.

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