Question

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

Answer 1

Answer:

a₅ = 506.25                   option a

Step-by-step explanation:

Given that,

first term a₁ = 1600

common ratio (r) = $\frac{3}{4}$

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 $(\frac{3}{4})^{5-1}$

a₅ = 1600*$(\frac{3}{4}) ^{4}$

a₅ = 1600*81/256

a₅ = $\frac{2025}{4}$

a₅ = 506.25                   option a

That's the final answer

Answer 2

Answer:

A. 506.25    

Step-by-step explanation: