Question

Braxton loves to download new music. He originally had 41 songs but plans to purchase 4 new songs each week. He wants to know how many songs he will have after 110 weeks. Which equation should he use? a110 = 41 + 4(110 − 1) a110 = 41 + 4(110 + 1) a110 = 110 + 4(41 − 1) a110 = 110 + 4(41 + 1)

Answer 1

Answer:
`a_(110)=41+4(110-1)`

Explanation:

Given: Braxton loves to download new music.

The number of songs he originally had (in week 1) a= 41

The number of songs he plans to purchase each week d= 4

Let 'n' be the number of weeks, then the total number of songs will be given by A.P.:-

`a_n=a+d(n-1)\\\Rightarrow\ a_n=41+4(n-1)`

After 112 weeks (n=112), the total number of songs will be given by :-

`a_(110)=41+4(110-1)`

Answer 2

Original songs he has are 41.
Bought songs per week are 4.
Bought songs in 110 weeks are (4*110) = 440

Total songs he bought altogether
41 + 440