Question

Geometric sequence with 12 as its second term, and 324 as its fifth. What is the third term?

Answer 1

\[a,ar,ar^2,ar^3,ar^4\]

Answer 2

\[ar=12\] and
\[ar^4=324\] divide to solve for \(r\)

Answer 3

if that is not clear, divide means
\[\frac{ar^4}{ar}=r^3=\frac{324}{12}=27\] telling you that \[r^3=27\]

Answer 4

That makes sense. Thanks!

Answer 5

yw
hope you got that \(r=3\) and the third term is
\[12\times 3\]