Re: Please help me with my homework! ( induction problem)
[ QUOTE ]
Show for n=1:
3^6+5^3=854 = 14*61 == multiple of 14
Assume for n.
Show for n+1:
3^(4(n+1)+2) + 5^(2(n+1)+1) = 3^(4n+6) + 5^(2n+3)
= 3^6 * 3^4n + 5^3 * 5^2n
= 729(3^4n) + 125(5^2n)
= 729 * 81n + 125 * 25n
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shouldn't this be:
= 729 * 81^n + 125 * 25^n
= (9^3)(9^2n) + (5^3)(5^2n)
it's not obvious to me how I should continue
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