Question

Find the first five terms of the recursive

sequence defined by the function below.
f(n) = 2f (n − 1) + 3n, where f(1) = -2
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n, where fi
2

Answer 1

Explanation:

hello :

f(n) = 2f (n − 1) + 3n, where f(1) = -2

n= 2 : f(2)=2f(2-1)+3(2) =2f(1)+6 = 2(-2)+6=2

n= 3 : f(3)=2f(3-1)+3(3) =2f(2)+9=2(2)+9=13

n= 4 : f(4)=2f(4-1)+3(4) =2f(3)+12=2(13)+12=37

n= 5 : f(5)=2f(2-1)+3(5) =2f(4)+15=2(37)+15=89