Answer:
a1 =50 r = 1.05 n = 12
Step-by-step explanation:
instruction revealed answers
By applying formula of sum of n terms of GP we can say that total amount paid in the first 12 months can be expressed as
[tex]S_{12} = \frac{12(1.04^{12}-1)}{1.04-1}[/tex]
Sequence is collection of numbers with a pattern .
Given that
Amount paid in first month =$62 and every month amount increase by 4%
So
[tex]a_{1}=62\\\\a_{2}= 1.04\times a_{1}[/tex]
and similarly
[tex]a_n=1.04 \times a_{n-1}\\\\\\ \Rightarrow \frac{ a_n}{ a_{n-1}}=1.04[/tex]
So this is an GP with common ratio 1.04 and first term 62
So sum of 12 terms can be expressed as
[tex]S_{12} = \frac{12(1.04^{12}-1)}{1.04-1}[/tex]
By applying formula of sum of n terms of GP we can say that total amount paid in the first 12 months can be expressed as
[tex]S_{12} = \frac{12(1.04^{12}-1)}{1.04-1}[/tex]
To learn more about GP visit :https://brainly.com/question/12006112
