Question

The values in the table represent a exponential function. What is the common difference of the associated geometric

Answer 1

A) 4

Work is shown in attached sheet! :)

Answer 2

Option A is correct

Common ratio = 4

Explanation:

Common ratio(r) : In a geometric series, the common ratio is the ratio of a term to the previous term.

`r = (a_2)/(a_1)=(a_3)/(a_2)= (a_4)/(a_3)=.....`

As per the statement:

The values in the table represent a exponential function.

Since, Geometric sequences and exponential functions are very closely related to each other.

At x= 1;

y = 9

At x = 2;

y = 36 and so on....

By definition we have;

`r = (36)/(9) =(144)/(36)=......`

After solving we get;

r =4

Therefore, the common ratio of the associated geometric is, 4