Question

What is the 6th term of the geometric sequence 3,6,12,24?96273648need help

Answer 1

Given:

The geometric sequence 3,6,12,24.

Required:

Find the 6th term of the geometric sequence.

Explanation:

The given sequence is 3,6,12,24.

The nth term of the sequence is given by the formula:

`a_n=ar^(n-1)`

Where a = first term and r = common ratio

From the given sequence

a = 3, r = 6/3 = 2

Then 6th term is:

`\begin{gathered} a_6=3(2)^(6-1) \\ a_6=3(2)^5 \\ a_6=3(32) \\ a_6=96 \end{gathered}`

Final answer:

The first option is the correct answer.