Answer:
a₅ = 506.25 option a
Step-by-step explanation:
Given that,
first term a₁ = 1600
common ratio (r) = [tex]\frac{3}{4}[/tex]
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 [tex](\frac{3}{4})^{5-1}[/tex]
a₅ = 1600*[tex](\frac{3}{4}) ^{4}[/tex]
a₅ = 1600*81/256
a₅ = [tex]\frac{2025}{4}[/tex]
a₅ = 506.25 option a
That's the final answer
