Consider the sequence given by the formula a(n + 1) = 5a(n) and a(1) = 2 for n ≥ 1.
b. list the first five terms of the sequence.

See explanation below

Step-by-step explanation:

As the problem states, a(1) = 2. This is the first term

To get the other 4 terms, we just need to replace in the given formula, the values of n from 1 to 5:

If the formula is a(n+1) = 5a(n), then to get a(2) it would be, a(1+1) = 5a(1), and the other terms would be the same procedure

a(2) = 5a(1) = 5 * 2 = 10

a(3) = 5a(2) = 5 * 10 = 50

a(4) = 5a(3) = 5 * 50 = 250

a(5) = 5a(4) = 5 * 250 = 1250