So I understand how to solve it the questions but I think my knowledge of exponents is causing me problems:
Determine if the sequence {a(n)} is a solution of the recurrence relation a(n) = -3*a(n-1) + 4*a(n-2) if a(n) = 2*(-4)^n+3
I started as below substituting in the formula:
a(n) = -3( 2(-4)^(n-1)+3) + 4( 2(-4)^(n-2) + 3)
= ( -3 *2* -4^(n-1) -9) + 2 * -4^(n-1) + 12
However,
I am having trouble with the first term. Any help would be appreciated.
Hello, othnin!
You started off fine . . .
Determine if is a solution of the recurrence relation:
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Substitute: .
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