The recursive function for a sequence is given below what is the 5th term of this sequence?

Question

1. F(1)=200 F(n)=2• f(n-1), for n=2,3,4...

Answer 1

F(1) = 200

F(2) = 2*F(1) = 2*200 = 400

F(3) = 2*F(2) = 2*400 = 800

F(4) = 2*F(3) = 2*800 = 1600

F(5) = 2*F(4) = 2*1600 = 3200

Recursive definition, A_n = A₁ * d^n-1

In this case A₁ =, n= 5 and d=2.

So 200*2⁴ = 200*16 = 3200. Same answer....