# Find an explicit rule for the nth term of the sequence. {eq}3,\ -12,\ 48,\ -192,\ \cdots {/eq}

## Question:

Find an explicit rule for the nth term of the sequence.

{eq}3,\ -12,\ 48,\ -192,\ \cdots {/eq}

## Geometric Sequence:

If we are given a sequence having terms that are produced by multiplying previous terms by a constant, then its general term can be generated by following the formula below:

{eq}a_n = a_1 r^{n-1} {/eq}

where

{eq}a_1 {/eq} is the first term

{eq}r {/eq} is a constant found by taking the quotient of any pair of consecutive terms.