Formalising Sequences: Engaging Math Worksheet for 12-Year-Olds

Instructions

Complete the following activities related to formalizing sequences. Show all your work where applicable.

Part 1: Identify the Pattern

Look at the sequence below and identify the next three terms.

1. 2, 4, 6, 8, ...

Part 2: Write the Rule

Write a rule for the sequence you identified above. Use the form a_n =

Part 3: Create Your Own Sequence

Now, create your own sequence with a clear rule. Write down the first five terms of your sequence.

Part 4: Formalize Your Sequence

Write the explicit formula for your sequence. Use the form a_n =

Part 5: Problem Solving

Your friend claims that their sequence: 5, 10, 15, 20, ... has the formula a_n = 5n. Do you agree? Explain why or why not in the space below.