Question

Which formula can be used to find the nth term in a geometric sequence where a1=3 and r = 2?

Answer 1

In a geometric sequence, the nth term can be found using the formula:

\[
a_n = a_1 \cdot r^{(n-1)}
\]

where:
- \(a_n\) is the nth term,
- \(a_1\) is the first term,
- \(r\) is the common ratio,
- \(n\) is the term number.

For your specific sequence where \(a_1 = 3\) and \(r = 2\), the formula becomes:

\[
a_n = 3 \cdot 2^{(n-1)}
\]

You can use this formula to find any nth term in the sequence.