Question

What is the 7th term of the geometric sequence where a1 = 1024 and a3 = 64?
a. 0.015625
b. 0.0625
c. 0.25
d. 0.1

I think its c, am i right?

Answer 1

Yup.

Answer 2

thanks!

Answer 3

The constant factor between consecutive elements of the sequence is 2^-2. \[a_3=64=2^6~so~ a_7=(2^{-2})^4a_3=2^{-2}=\frac{1}{4}=0.25\]