Question

The values in the table represent an exponential function. What is the common ratio of the associated geometric sequence?

Answer 1

D. 3

Explanation:

`a_1,\ a_2,\ a_3,\ ...,\ a_n-\text{geometric series}\\\\r=(a_2)/(a_1)=(a_3)/(a_2)=(a_4)/(a_3)=...=(a_n)/(a_(n-1))-\text{common ratio}\\\\\text{From the table we have:}\\\\a_1=7,\ a_2=21,\ a_3=63,\ a_4=189,\ a_5=567\\\\\text{Check the common ratio:}\\\\(21)/(7)=3\\\\(63)/(21)=3\\\\(189)/(63)=3\\\\(567)/(189)=3\\\\\bold{CORRECT}`