Question

Define the sequence a₁, a₂, a₃ ... as follows:
a₁ = 2, a_n = 5 a_n–1, for all natural numbers n ≥ 2.

Write the first four terms of the sequence.

Answer 1

We have a₁ = 2

a₂ = 5a_2–1 = 5a₁ = 5.2 = 10

a₃ = 5a_3–1 = 5a₂ = 5.10 = 50

a₄ = 5a_4–1 = 5a₃ = 5.50 = 250