Find the common ratio for the geometric sequence. a2 = 224 and a7 = 7

Question

a. 

r = 4

b. 

r = 2

c. 

r = 0.5

d. 

r = 0.25

Answer 1

a₇ = a₂(r)⁵

7 = 224(r)⁵

7 / 224 = r⁵

Can you calculate and answer?

Answer 2

A little more explanation:

a_n=a₁r^n-1

a₂=a₁r^2-1 ==> a₁=a₂/r

a₇=a₁r^7-1=(a₂/r)r⁶=a₂r⁵