Select the formula for the n^th term of the sequence. -5,20,-80,ldots Show your work here -5(-4)^n-1

To find the formula for the $n^{th}$ term of the sequence $-5,20,-80,\ldots$, we need to identify the pattern in the sequence.<br /><br />Let's denote the $n^{th}$ term of the sequence as $a_n$.<br /><br />We can observe that each term in the sequence is obtained by multiplying the previous term by -4.<br /><br />So, we can write the formula for the $n^{th}$ term as:<br /><br />$a_n = -5(-4)^{n-1}$<br /><br />Therefore, the formula for the $n^{th}$ term of the sequence $-5,20,-80,\ldots$ is $-5(-4)^{n-1}$.