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What is the common ratio of the geometric sequence whose second and fourth terms are 6 and 54, respectively?

a.1

b.2

c.3

d.4

Verified Answer :

HomertheGenius

a 2 = a 1 · r = 6
a 4 = a 1 · r³ = 54
 6 / r = 54 / r³  
6 r³ = 54 r   / : r
6 r² = 54
r² = 54 : 6
r² = 9
r = √ 9 = 3
Answer:
C )  3 


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