Question

if the first two terms of geometric sequence are 4 and 12 , which of the following would be the 10th term?

Answer 1

Given data:

The first term of geometric series is 4.

The second term of geometric series is 12.

The expression for the common ratio is,

`\begin{gathered} r=(12)/(4) \\ =3 \end{gathered}`

The expression for the 10th term is,

`\begin{gathered} a_(10)=a(r)^9 \\ =4(3)^9 \\ =78,732 \end{gathered}`

Thus, the 10th term is 78,732.