Monique deposited her money in the bank to collect interest. the first month, she had $225 in her account. after the sixth month, she had $273.75 in her account. use sequence notation to represent the geometric function.

a. an = 273.75 ⋅ (1.04)n−1

b. an = 273.75 ⋅ (1.22)n−1

c. an = 225 ⋅ (0.22)n−1

d. an = 225 ⋅ (1.04)n−1

D.  

Step-by-step explanation:

The nth term of geometric sequence is given by :-

, where a= First term.

r= common ratio.

Given : The first month, she had $225 in her account.

i.e. a= $225

Put n= 6 and a= $225 in (1), we get

                         (2)

After the sixth month, she had $273.75 in her account.

i.e.                           (3)

From (2) and (3) , we have

Divide both sides by 225 , we get

Substitute the value of a and r in (1) , we get

Hence, the correct answer is D.

step-by-step explanation:

milk=16 large

soda=280 kids

juice box=82 regular

63 soda +63 regular

124 large total