Select the formula for the n^th term of the sequence. 7,-21,63,ldots Show your work here 7-3(n) 7-3(n-1) 7(-3)^n-1 7(-3)^n None of the above

To find the formula for the $n^{th}$ term of the sequence $7,-21,63,\ldots$, 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 -3.<br /><br />So, we can write the formula for the $n^{th}$ term as:<br /><br />$a_n = 7(-3)^{n-1}$<br /><br />Therefore, the correct answer is $7(-3)^{n-1}$.