Question

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.

Answer 1

$273.75=$225*(1.04)^(6-1)

Explanation:

The geometric sequence formula is:

An=a*r^(n-1)

An= nth term of the sequence

a= first term of the sequence. In this case, the amount Monica had in the first month

r= common ratio. In this case, is the interest rate, which is constant in all months.

n= number of periods

In this case, we know:

a= $225

An= $273.75

n=6

We transform the formula above to get the common ratio that in this case is the interest rate.

An/a=r^(n-1)

$273.75/$225=r^5

(1.216)^(1/5)=r

r=1.04

Then, the sequence notation to represent the geometric function of Monique is:

$273.75=$225*(1.04)^(6-1)