Question
Question Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 72,12,2,ldots Answer Attempt 2out of 2 This is square sequence and the square is equal to square
Solution
4.3
(232 Votes)
Leona
Master ยท Tutor for 5 years
Answer
### This is a geometric sequence and the common ratio is equal to
.
Explanation
## Step 1: Check for Arithmetic Sequence### To determine if the sequence is arithmetic, we check if there's a common difference between consecutive terms. The difference between the second term (12) and the first term (72) is
. The difference between the third term (2) and the second term (12) is
. Since the differences are not equal, the sequence is not arithmetic.## Step 2: Check for Geometric Sequence### To determine if the sequence is geometric, we check if there's a common ratio between consecutive terms. The ratio of the second term (12) to the first term (72) is
. The ratio of the third term (2) to the second term (12) is
. Since the ratios are equal, the sequence is geometric.