Question

50 POINTS CORRECT ANSWER ONLY!! PLEASE HELP ASAP

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.

The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.

(1, 2), (2, 4), (3, 8), (4, 16)

Use a recursive formula to determine the time she will complete station 5. Show your work.


Geometric Recursive Formula

f(n) = f(n − 1) • r

Answer 1

ask 23

Explanation:

(1, 2), (2, 4), (3, 8), (4, 16)

Use a recursive formula to determine the time she will complete station 5. Show your work.

Geometric Recursive Formula

f(n) = f(n − 1) • r

Answer 2

f(n) = f(n − 1) • 2

Explanation:

f(1) = 2

f(2) = 4

f(3) = 8

f(4) = 16

Geometric Recursive formula: f(n) = f(n − 1) • r

where r is the common ratio

To determine r, divide one term by the previous term:

`\sf r=(f(n))/(f(n-1))=(16)/(8)=(8)/(4)=(4)/(2)=2`

Therefore, f(n) = f(n − 1) • 2