Recursive Rules for Arithmetic Sequences

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Objective

I can write a recursive rule to find the next term in an arithmetic sequence when given the first term and common difference using function notation.

Part 1 of 3

Warm-up video

Unknown Channel · 5:00

We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

7 questions

1

Define "recursive formula" in your own words, and explain how it differs from an explicit formula.

2

Identify the first term (a₁) and the common difference (d) in the following arithmetic sequence: 2, 5, 8, 11, 14...

Part 3 of 3

Exit ticket

Quick comprehension check

Write a recursive rule for an arithmetic sequence where the first term is 5 and the common difference is 3, using function notation. Write a recursive rule for an arithmetic sequence where the first term is -2 and the common difference is -4, using function notation. Write a recursive rule for an arithmetic sequence where the first term is 10 and the common difference is -1.5, using function notation.

Sample answer included in the free materials

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