Question

If the first two terms of a geometric sequence are a1=216 and a2=72 then which of the following is the third term, a3=?

Answer 1

Answer:

(2) 24

Step-by-step explanation:

The common ratio r of a geometric sequence is

$\frac{a_{2} }{a_{1} }$ = $\frac{72}{216}$ = $\frac{1}{3}$

To find the next term in the sequence multiply the previous term by r

$a_{3}$ = 72 × $\frac{1}{3}$ = 24 → (2)