Question

prove that 2^n+6×9^n is always divisible by 7 for any positive integer n​

Answer 1

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Solution____❤️

${2}^{n} + 6 \times {9}^{n} \\ n = 1 \\ \\ 2 + 54 = 56 \: divisible \: by \: 7 \\ \\ n = 2 \\ \\ 4 + 486 = 490 \: divisible \: by \: 7 \:$

Hence, for all positive values of n the given statement is true.

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Answer 2

HEY MATE HERE IS YOUR ANSWER--

➾2n+6×9n

➾n=1

➾2+54=56 divisibleby7

➾ n=2

➾ 4+486=490 divisibleby7

Hence, for all positive values of n the given statement is true.!

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