17. Let {an} be a geometric sequence for which a3 = 8 and a6 = 128. Then a1 =

A. 1/2

B. 1

C. 21/3

D. 41/3

E. 2

 

Solution: The answer is C

 

Since {an} is a geometric sequence, we have the following relationships,

Thus, solving for r will enable us to find a, and hence a1.

Solve for r:

Find a:

Hence, a1 = 21/3