- #1
charmedbeauty
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Homework Statement
Theorem if n is a non-negative integer then 11 is a factor of 2^(4n+3)+3(5^n)
Basic ideas if 2^(4n+3) =11k -3(5^n) then,
2^(4n+7) =11(16k -3(5^n))-3(5^(n+1))
Homework Equations
The Attempt at a Solution
So I understand how they get the result 2^(4n+3) =11k -3(5^n)
but I have no idea how to obtain the second result, namely, 2^(4n+7) =11(16k -3(5^n))-3(5^(n+1)) ?
Im stumped I can obviously see how they have added another 2^4 but I really don't see how that produces RHS. Help!