Question
1)) 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. -10,(-20)/(3),(-40)/(9),ldots 1)) Write your answer using proper fractions,improper fractions, and integers. a_(n)=square (square )^n-1
Solution
4
(283 Votes)
Dante
Master ยท Tutor for 5 years
Answer
###
Explanation
## Step 1: Identify the first term### The first term,
, is -10.## Step 2: Calculate the common ratio### Divide the second term by the first term:
. Divide the third term by the second term:
. The common ratio,
, is
.## Step 3: Construct the equation### Plug
and
into the formula
to get
.