Answer:

Step-by-step explanation:
He already has songs = 41
Since we are given that he purchase four songs every week .
So, in first week he purchase songs = 4
Initially he already has 41 songs
So, total songs after 1 week = 
After 2 weeks he will have songs = 
This forms an arithmetic sequence : 41,45,49......
Formula of nth term in A.P. : 
a = first term = 41
d = common difference = 45-41=49-45=4
Since we are required to find the new songs after110 weeks
So, n =110
Substituting values :

Thus Option A is correct.