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

Question

Mathematics

Jalen Irwin

4 February, 04:27

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

+2

Answers (1)

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Rowan · 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)