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

First, we identify , which signifies the first term in the sequence. In this case we have:40, 80, 160, ...Therefore, after looking at this list of numbers.Then we decide , which reflects the common ratio between successive terms in the sequence. Notice that every term is doubling the previous one, hence, the ratio, . Given this information, substitute and into the sequence formula that reads as . We eventually get: If we conclude from these findings, the provided sequence of is summarized explicitly in the formula notation putting the terms into the boxes of the question.