Q:

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−1plz hurry

Accepted Solution

A:
Answer:The correct option is D) [tex]a_n = 225(1.04)^{n - 1}[/tex]Step-by-step 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: [tex]a_n = a(r)^{n - 1}[/tex]In the first month, she had $225 in her account. After the sixth month, she had $273.75 in her account.Substitute a=225, [tex]a_n=273.75[/tex] and n=6 in above formula.[tex]273.75= 225(r)^{6-1}[/tex][tex]\frac{273.75}{225}=(r)^5}[/tex][tex]r\approx 1.04[/tex]Hence, the value of r is 1.04Therefore, the required sequence notation to represent the geometric function is [tex]a_n = 225(1.04)^{n - 1}[/tex]Hence, the correct option is D) [tex]a_n = 225(1.04)^{n - 1}[/tex]