Question

Find the next five terms of the following sequences given by:

a₁ = 1, a_n = a_{n – 1} + 2, n ≥ 2

Answer 1

Given: a₁ = 1, a_n = a_{n – 1} + 2 for n ≥ 2

a₂ = a₁ + 2

= 1 + 2

= 3

a₃ = a₂ + 2

= 3 + 2

= 5

a₄ = a₃ + 2

= 5 + 2

= 7

a₅ = a₄ + 2

= 7 + 2

= 9

a₆ = a₅ + 2

= 9 + 2

= 11

The next five terms are 3, 5, 7, 9, 11.