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.
5/2, 15/8, 45/32, …
Write your answer using decimals and integers.
an = BLANK (BLANK)^n-1
The given sequence is a geometric sequence, where each term is obtained by multiplying the previous term by a fixed ratio. In this case, the ratio is 3/4.
Therefore, the equation to describe the sequence is:
an = (5/2) * (3/4)^(n-1)