Question

Monique deposited her money in the bank to collect interest. In 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. an = 273.75 ⋅ (1.04)n−1 an = 273.75 ⋅ (1.22)n−1 an = 225 ⋅ (0.22)n−1 an = 225 ⋅ (1.04)n−1

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Answer 1

The correct option is D)
`a_n = 225(1.04)^(n - 1)`

Explanation:

Consider the provided information.

In the first month, she had $225 in her account.

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

The geometric sequence is given by:
`a_n = a(r)^(n - 1)`

In the first month, she had $225 in her account. After the sixth month, she had $273.75 in her account.

Substitute a=225,
`a_n=273.75` and n=6 in above formula.

`273.75= 225(r)^(6-1)`

`(273.75)/(225)=(r)^5}`

`r\approx 1.04`

Hence, the value of r is 1.04

Therefore, the required sequence notation to represent the geometric function is
`a_n = 225(1.04)^(n - 1)`

Hence, the correct option is D)
`a_n = 225(1.04)^(n - 1)`