show that 37^n+2 + 16^n+1 + 23^n is divisible by 7 whenever n is natural thank you
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Originally Posted by sabrina87 show that 37^n+2 + 16^n+1 + 23^n is divisible by 7 whenever n is natural thank you I assume you're having trouble with step 3. Then note: which is divisible by 7 due to step 2 ........
Originally Posted by sabrina87 show that 37^n+2 + 16^n+1 + 23^n is divisible by 7 whenever n is natural thank you Here is a non-induction proof. Let . Note , , . Thus, .
Originally Posted by ThePerfectHacker Here is a non-induction proof. Let . Note , , . Thus, . Hello, could you explain the second solution, please?
Originally Posted by drthea Hello, could you explain the second solution, please? The result you need to know here is that if .
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