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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)

Respuesta :

Answer:

[tex]a_110=41+(110-1)4[/tex]

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 = [tex]41+(4\times1)=45[/tex]

After 2 weeks he will have songs = [tex]41+(4\times 2)=49[/tex]

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

Formula of nth term in A.P. : [tex]a_n=a+(n-1)d[/tex]

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 :

[tex]a_110=41+(110-1)4[/tex]

Thus Option A is correct.

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