This [tex]6(2)x^{n-1}[/tex] represent an exponential function, because his savings increase by a constant factor of 2.
It is given that,
Luis has saved $3 and he doubles the amount each week.
So, the amount saved in the next week = 3×2 = 6
This gives the amount saved in the third week = 6×2 = 12
So, we get the sequence 3,6,12...
It can be written as, 3×2⁰, 3×2¹, 3×2², 3×2³,.....
So, the sequence in the exponential form , where 'n' is a natural number.
Also, 3,6,12...
The numbers are increasing by the factor =
Hence, we get,
This [tex]6(2)x^{n-1}[/tex] represent an exponential function, because his savings increase by a constant factor of 2.
