Answer:
[tex]B=2\times 3^n[/tex]
Step-by-step explanation:
Exponential Growing
Steven currently reads 2 books a year. He wants to triple the number of books read per year. The first year he should read
[tex]2*3 = 6\ books[/tex]
By the second year, he should read
[tex]2*3^2 = 18\ books[/tex]
By the third year, he should read
[tex]2*3^3 = 54\ books[/tex]
We can clearly see there is a geometric progression of the number of books he should read for the year n. The general formula is, being B the number of books read at the year n
[tex]\boxed{B=2\times 3^n}[/tex]