Reach for the Star

Sequences and nth terms · Optional extension

L023 · Allow 10–15 minutes for learners ready to move on. Answers are available after an attempt.

Stretch

Find nth term of 4,9,14,19,… and its 25th term.

Reveal a worked check after attempting

5n−1; 124.

Deep challenge

Can 7,11,15,19,… contain 100? Justify algebraically.

Reveal a worked check after attempting

nth term 4n+3; 4n+3=100 gives n=24.25, not a whole-number position.

Recall & Review: feedback and extension integration

Lesson L023: Sequences and nth terms

Objective: Generate and recognise sequences. Find a linear nth-term rule and use it to decide whether a value belongs.

60-minute structure: 0-7 Connect & Check; 7-14 Share; 14-25 Present/model; 25-44 Apply route choice/practice; 44-52 independent exam-style check; 52-60 Recall & Review, WWW/EBI and next step.

What Went Well (WWW)

I represented the algebraic structure accurately, kept each transformation valid and checked the result by substitution, graph or equivalent reasoning.

Even Better If (EBI)

I will show the missing inverse operation or algebraic step, keep signs and brackets accurate and test the result in the original relationship.

Stretch and deep challenge

Stretch: Find nth term of 4,9,14,19,… and its 25th term.

Deep challenge: Can 7,11,15,19,… contain 100? Justify algebraically.