Question

Calculate a5 for the geometric sequence in which a1=1600 and the common ratio is 3/4.

Answer 1

A. 506.25

Explanation:

Answer 2

a₅ = 506.25 option a

Explanation:

Given that,

first term a₁ = 1600

common ratio (r) =
`(3)/(4)`

We need to find the fifth term of the geometric progression

We know that the nth term formula

aₙ = a₁rⁿ-¹

where a₁ is first term and r is the common ratio

n is the number of terms

So, n = 5

a₅ = 1600
`((3)/(4))^(5-1)`

a₅ = 1600*
`((3)/(4)) ^(4)`

a₅ = 1600*81/256

a₅ =
`(2025)/(4)`

a₅ = 506.25 option a

That's the final answer