Answer: [tex]a_{110}=41+4(110-1)[/tex]
Step-by-step 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.:-
[tex]a_n=a+d(n-1)\\\Rightarrow\ a_n=41+4(n-1)[/tex]
After 112 weeks (n=112), the total number of songs will be given by :-
[tex]a_{110}=41+4(110-1)[/tex]