Linear Sequences: Finding the Nth Term — Interactive Lesson & Worksheet (Ages 13–15)

Still working out each term one by one instead of jumping straight to any position in the sequence? This 24-slide interactive lesson, paired with a printable worksheet, gives pupils extensive practice finding the nth term of a linear sequence.

Mastering Linear Sequences in Year 9–10 Maths

Pupils practise finding the nth term of a linear sequence, building the fluency within the Year 9 and Year 10 National Curriculum algebra strand. Being able to jump straight to any term using a formula, rather than counting up term by term, is a genuine step forward in algebraic thinking that this lesson and worksheet combination gives pupils extensive practice with.

What’s Included

• 24-slide interactive lesson on linear sequences
• A printable 4-page worksheet for further practice
• Self-marking activities with instant feedback
• Step-by-step guidance deriving the nth term formula

Key Benefits for Students

• Builds fluency finding the nth term without counting term by term
• Instant feedback confirms correct working straight away
• The printable worksheet extends practice beyond the screen
• A strong foundation before quadratic sequence work later on

Why Teachers Love It

• No prep — the lesson and worksheet are both ready to use
• Works on any interactive whiteboard or shared screen
• Self-marking activities free you up to support individual pupils
• Combines digital teaching with a printable for flexible lesson planning

Love this? You’ll love…

• Finding the Nth Term of a Quadratic Sequence — Interactive Lesson (Ages 14–16)
• Estimating Powers and Roots — Interactive Lesson (Ages 14–16)
• HCF And LCM — Interactive Lesson (Year 10)

A strong addition to a Year 9 or Year 10 algebra topic, ideally taught before the quadratic sequence work above, so pupils have a secure linear foundation before that added complexity is introduced. A confident grasp of this method here also makes spotting and describing number patterns elsewhere far more straightforward.

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FAQ

What year groups is this for? Years 9–10 (ages 13–15).

Does it cover quadratic sequences too? No — this lesson focuses specifically on linear sequences.

Is it self-marking? Yes, instant feedback throughout.