Prove by induction:
6*7^(n power) - 2*3^(n power) is divisible by 4, for all n is great than or equal to 1
6*7^n - 2*3^n = 2*[3*7^n - 3^n] , and since the expression in the parentheses is odd this number is 2*2* something else, and we're done
without any induction at all.
6*7^n - 2*3^n = 2*[3*7^n - 3^n] , and since the expression in the parentheses is odd this number is 2*2* something else, and we're done
without any induction at all.
Of course, you can try induction as well...
Tonio
I assume you meant that the expression in the parentheses is even! since and are odd numbers, and subtracting two odd numbers gives an even number.
To solve by induction, simply follow the steps provided in the other topics you posted..