Question

2. in a geometric progression

the first term is 64 and the
fourth term is 27. Calculate
(a) the common ratio​

Answer 1

(a) the common ratio = 3/4.

Explanation:

First term a1 = 64

The fourth term a4 = a1 r^3 = 27

So a1 r^3 / a1 = 27/64

r^3 = (27/64)

r = ∛ (27/64

= 3/4.

Answer 2

0.75 or 3/4

Explanation:

If we call the common ratio r, since 4 - 1 = 3 we can write:

64 * r³ = 27

r³ = 27/64

r = ∛(27/64) = ∛27 / ∛64 = 3 / 4