Question

Steven wants to increase the number of books he reads per year. He currently reads 2 books a year. He wants to triple the number of books he reads each year compared to the previous year. Which equation best represents the number of books Steven will read after the nth year?

Answer 1

Answer:

$B=2\times 3^n$

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

$2*3 = 6\ books$

By the second year, he should read

$2*3^2 = 18\ books$

By the third year, he should read

$2*3^3 = 54\ books$

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

$\boxed{B=2\times 3^n}$