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

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

and she plans to memorize two more bars everyday .

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

, where is the total number of bars she memorized at nth day.

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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