Write the first five terms of the sequence a_n = 3n + 1.

Solution:

Given,

Sequence a_n = 3n + 1.

To obtain the first five terms, substitute n = 1, 2, 3, 4, 5.

a₁ = (3 × 1) + 1 = 3 + 1 = 4

a₂ = (3 × 2) + 1 = 6 + 1 = 7

a₃ = (3 × 3) + 1 = 9 + 1 = 10

a₄ = (3 × 4) + 1 = 12 + 1 = 13

a₅ = (3 × 5) + 1 = 15 + 1 = 16.

Therefore, the first five terms are 4, 7, 10, 13, 16.

Write the first five terms of the sequence a_n = 3n + 1.

Summary:

The first five terms of the sequence a_n = 3n + 1 is 4, 7, 10, 13, 16.