Question

Kendyl is memorizing a piece of saxophone music to perform at a local festival. She currently has the first eight bars memorized and plans to memorize two more bars everyday until she has the whole piece memorized. Write a recursive formula to model Kendyl's progress.
a. a_n=2a_(n-1) ; a_1=8
b. a_n=a_(n-1)+2 ; a_1=6
c. a_n= 6+2_n ; a_1=8
d. a_n=a_(n-1)+2 ; a_1=8

Answer 1

This an example of arithmetic progression. so the formula of the arithmetic progression is:a_n = a_1 + (n-1)dwhere a_n is the nth terma_1 is the first termn is the number of termd is the common difference
from the problema_1 = 8d = 2
so the recursive formulaa_n = 8 + 2(n-1)

Answer 2

Answer: $a_n=a_{n-1}+2;\ a_1=8$

Step-by-step explanation:

Given: Kendyl is memorizing a piece of saxophone music to perform at a local festival.

Let n be the total number of days.

Since she currently has the first eight bars memorized , thus $a_1=8$

and she plans to memorize two more bars everyday .

Then, the recursive formula to model Kendyl's progress will be

$a_n=a_{n-1}+2;\ a_1=8$, where $a_n$ is the total number of bars she memorized at nth day.