Question

This is the recursive formula for a geometric sequence:

f(1)=8,000
f(n)=1/2(n − 1), for n > 2
What is the fifth term in the sequence?

Answer 1

f(5) = 500

Explanation:

Using the recursive rule and f(1) = 8000 , then

f(2) =
`(1)/(2)` f(1) =
`(1)/(2)` × 8000 = 4000

f(3) =
`(1)/(2)` f(2) =
`(1)/(2)` × 4000 = 2000

f(4) =
`(1)/(2)` f(3) =
`(1)/(2)` × 2000 = 1000

f(5) =
`(1)/(2)` f(4) =
`(1)/(2)` × 1000 = 500

Answer 2

Explanation:

f(1) = 8000

f(2) = 1/2(n - 1)

f(2) = 1/2(2 - 1)

f(2) = 1/2 Note: this really does not make sense. I think what you mean is 1/2*f(n-1). If this is true, leave a note within the next hour.