Write an equation to describe the sequence below Use n to represent the position of a term in the sequence, where n=1 for the first term. 40,80,160, ... Write your answer using decimals and integers. a_(n)=square (square )^n-1

<br />First, we identify $a_{1}$, which signifies the first term in the sequence. In this case we have:<br /><br />40, 80, 160, ...<br /><br />Therefore, $a_{1} = 40$ after looking at this list of numbers.<br /><br />Then we decide $r$, which reflects the common ratio between successive terms in the sequence. Notice that every term is doubling the previous one, hence, the ratio, $r = 2$ . <br /><br />Given this information, substitute $a_{1} = 40$ and $r = 2$ into the sequence formula that reads as $a_n = a_1(r)^{n - 1}$. <br /><br />We eventually get:<br />\[a_{n} = 40(2)^{n-1} \]<br /><br />If we conclude from these findings, the provided sequence of $40,80,160, ...$ is summarized explicitly in the formula notation $a_{n}=40(2)^{n-1}$ putting the terms into the boxes of the question.