Question

Divergent and Convergent sums

The trees at a national park have been increasing in numbers. There were 200 trees in the first year that the park started tracking them. Since then, there have been one fifth as many new trees each year. Create the sigma notation showing the infinite growth of the trees and find the sum, if possible.

Year New trees

1 1000

2 200

3 40

Answer 1

The infinite growth of the trees is represented by ∑ form n = 1 to infinity of 200(1.2)^n.

The sum is cannot be found because the series is divergent.