Select the formula for the n^th term of the sequence. 2,6,18,ldots Show your work here 2+3(n-1) 2+3(n) 2(3)^n-1 2(3)^n None of the above

To find the formula for the $n^{th}$ term of the sequence $2,6,18,\ldots$, we need to identify the pattern in the sequence.<br /><br />Let's analyze the given terms:<br />- The first term is $2$.<br />- The second term is $6$.<br />- The third term is $18$.<br /><br />We can observe that each term is obtained by multiplying the previous term by $3$.<br /><br />Therefore, the formula for the $n^{th}$ term of the sequence is $2(3)^{n-1}$.<br /><br />So, the correct answer is: $2(3)^{n-1}$.