Question

F(1) = f(n) = f(n-1). for n 2 2. Write the first five terms of the sequence.

Answer 1

We have a recursive function, where each new term f(n) is the previous term f(n-1) multiplied by 3/2.

We start with f(1)=2/3.

Then, we can write the following 4 terms as:

f(2) = f(1) * 3/2 = 2/3*3/2 = 1

f(3) = f(2) * 3/2 = 1 * 3/2 =3/2

f(4) = f(3) * 3/2 = 3/2 * 3/2 = 9/4

f(5) = f(4) * 3/2 = 9/4 * 3/2 = 27/8