Question

The square numbers can be defined by the recursive formula a1 = 1, and an = an-1 + (2n - 1), where n > 1. The first five square numbers are

Answer 1

Answer:Suppose that an insect population’s density, in thousands per acre, during year n, can be modeled by the recursive formula:

a1 = 8

an = 2.9an – 1 – 0.2(an – 1)2

Which of the following describes what is happening to the insect population for the first five years?

Explanation:

Its D on edu

Answer 2

1, 4, 9, 16, and 25. Use the formula to get a2 = 1 + (2*2 - 1) = 4, a3 = 4 + (2*3 - 1) = 9, etc. Also notice that for all n, an = n2.