Question

Write the first three terms in each of the sequences defined by the following

a_n = 3n + 2

Write the first five terms of the following sequences whose nth term are

a_n = 3n + 2

Answer 1

Given sequence a_n = 3n + 2

To write first five terms of given sequence put n = 1, 2, 3, 4, 5, we get

a₁ = (3 × 1) + 2 = 3 + 2 = 5

a₂ = (3 × 2) + 2 = 6 + 2 = 8

a₃ = (3 × 3) + 2 = 9 + 2 = 11

a₄ = (3 × 4) + 2 = 12 + 2 = 14

a₅ = (3 × 5) + 2 = 15 + 2 = 17

∴ The required first five terms of given sequence a_n = 3n + 2 are 5, 8, 11, 14, 17