Question

Braxton loves downloading new music he originally had 41 songs but plans to purchase 4 new songs each week. he wants to know how many new songs he will have after 110 weeks. which equation should he use?
A)a110=41+4(110-1)
B)a110=41+4(110+10
C)a110=110+4(41-1)
Da110=110+4(41+1)

Answer 1

Answer:

$a_110=41+(110-1)4$

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 = $41+(4\times1)=45$

After 2 weeks he will have songs = $41+(4\times 2)=49$

This forms an arithmetic sequence  : 41,45,49......

Formula of nth term in A.P. : $a_n=a+(n-1)d$

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 :

$a_110=41+(110-1)4$

Thus Option A is correct.