Question

(1, 97) (2, 95.1) (3, 93.2) (4, 91.3)

What is the common ratio of the sequence? Express your answer as a decimal rounded to the nearest hundredth.

a) 1.00
b) 0.90
c) 0.92
d) 0.95

Answer 1

The common ratio of the sequence given by the points is approximately 0.98 when calculated and rounded to the nearest hundredth.

Step-by-step explanation:

To find the common ratio of the sequence given by the points (1, 97), (2, 95.1), (3, 93.2), (4, 91.3), we need to calculate the ratio between successive terms.

The second term (95.1) divided by the first term (97) gives us:

95.1 ÷ 97 ≈ 0.98041

The third term (93.2) divided by the second term (95.1) gives us:

93.2 ÷ 95.1 ≈ 0.98002

The fourth term (91.3) divided by the third term (93.2) gives us:

91.3 ÷ 93.2 ≈ 0.97961

All these ratios are approximately 0.98 when rounded to the nearest hundredth. Therefore, the common ratio of the sequence is 0.98.