Question

HELP! :)
What is the 9th term of the geometric sequence where a1 = 1024 and a3 = 64?

Answer 1

0.015625

0.0625

0.125

0.25

Answer 2

I think its A? :)

Answer 3

geometric seequence means :
\[a_n=q^{n-1}a_1\]
so
\[\frac{a_3}{a_1}=q^2=\frac{64}{1024}=1/16\]
so q=1/4
now:
\[a_9=(1/4)^81024=0.015625\]