🎯 WALT & Success Criteria

We Are Learning To: Recognise, describe, and generate terms in number sequences, including arithmetic sequences.

I will be successful if I can:

✅ Identify the term-to-term rule for a sequence

✅ Find missing terms using the rule

✅ Describe the rule clearly in words

✅ (Challenge) Write the nth term for an arithmetic sequence

⚡ Starter: What Comes Next?

Find the next two terms in each sequence. Write the rule you used.

Rule: _______________________________________

Rule: _______________________________________

Rule: _______________________________________

Rule: _______________________________________

Rule: _______________________________________

Rule: _______________________________________

📗 Support: Completing a Sequence Table

Use the partially filled table below. The sequence starts at 4 and increases by 5 each time.

Position (n):   1st    |    2nd    |    3rd    |    4th    |    5th    |    6th
Term:            4      |      9      |    _____   |    _____   |    _____   |    _____

a) What is the term-to-term rule? Use this sentence starter:

"The sequence starts at _____ and each term increases / decreases by _____."

b) What is the 6th term? _____

c) Explain how you know what the 6th term is without listing every term:

📘 Core: Missing Terms & Matching Rules

Part A – Find the missing terms. Show your working.

Part B – Match each sequence to its rule.

📕 Challenge: The nth Term

For arithmetic sequences, the nth term follows the pattern: nth term = a + (n − 1) × d, where a is the first term and d is the common difference.

a) First term (a) = _____    Common difference (d) = _____

b) Write the nth term expression: nth term = _______________________

c) Use your expression to find the 10th term. Show your substitution:

a) nth term = _______________________

b) Which term in the sequence equals 58? Show your working:

c) Explain how you know your answer is correct:

🚪 Exit Ticket

Complete both questions independently before leaving.

Rule in words: _______________________________________

Self-assessment — tick one: