Question

What is the explicit rule for the sequence? −3, 0,3,6,9,... Enter your answer in the box.

Answer 1

• aₙ = 3n - 6

Explanation:

Given sequence:

• −3, 0,3,6,9,...

This is AP with:

• The first tern a₁ = - 3
• Common difference d = 3

The rule for the nth term of the sequence is:

• aₙ = a₁ + (n - 1)d

Substitute values:

• aₙ = -3 + (n - 1)(3) =
• -3 + 3n - 3 =
• 3n - 6