Answer:
Hence, Celine will save 2125764 cents in 12 years.
Step-by-step explanation:
We are given a set of values or table of values as:
Years 1 2 3 4 5 6
Money 12 36 108 324 972 2,916
Hence, we could clearly see that the money is increasing as a multiple of 3 as compared to money in the previous year.
i.e in 1'st year it is 12 cents.
In second year it is:
12×3=36 cents.
in third year it is:
36×3=108 cents
and so on.
Let [tex]m_n[/tex] denote the money in the nth year.
So, the relation is given by:
[tex]m_n=12\times 3^{n-1}[/tex]
Hence, the money that Celine will save in 12 years is given by:
[tex]m_{12}=12\times 3^{12-1}\\\\m_{12}=12\times 3^{11}\\\\m_{12}=2125764[/tex]
Hence, Celine will save 2125764 cents in 12 years.
