Question 10 of 10The values in the table represent an exponential function. What is the common ratio of the associated geometric sequence?x y1 62 363 2164 12965 7776A.36B.7C.5D.6
Question
Question 10 of 10The values in the table represent an exponential function. What is the common ratio of the associated geometric sequence?x y1 62 363 2164 12965 7776A.36B.7C.5D.6
Solution
To find the common ratio of an exponential function, you divide any y-value by the previous y-value.
From the table, we can take two consecutive y-values to find the common ratio. Let's use 36 (the y-value when x=2) and 216 (the y-value when x=3).
So, the common ratio r is calculated as follows:
r = 216 / 36 = 6
Therefore, the common ratio of the associated geometric sequence is 6 (Option D).
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