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If a sequence is defined recursively by f(0)=2 and f(n+1)=-2f(n)+3 for n is greater than or equal to 0, then f(2) is equal to...?

Respuesta :

We start with f(0) = 2, we can use this value to find out the next value f(1) in our relation.

 f(1) = -2 f(0)+3 = -2(2) + 3 =- 4 +3 =-1 Now we know f(1) we can work out f(2):

f(2) = -2 f(1)+3 = -2( -1)+3 = 2 +3 = 5.

So f(2) = 5

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