Question

What is the value of the fourth term in a geometric sequence for which a1= 30 and r = 1/2

Answer 1

Answer:

$a_{4}$ = 3.75

Step-by-step explanation:

The n th term of a geometric sequence is

$a_{n}$ = a₁$(r)^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 30 and r = $\frac{1}{2}$, thus

$a_{4}$ = 30$(\frac{1}{2}) ^{3}$ = 30 × $\frac{1}{8}$ = $\frac{30}{8}$ = $\frac{15}{4}$ = 3.75