PracticeQuestionsYears 1–7
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Variables and sequences

Year 7 bridging · Year 7 bridging · 6A2 — Use simple formulae; generate linear sequences

Draft — awaiting teacher review

Builds on: Ratio and proportion (Year 6), Multiplication as equal groups (Year 3)

I

Concept Anchor

A linear sequence changes by the same amount each time. Its nnth term has the form an+ban + b, where aa is the common difference.

Worked example

Find the nnth term of 5,8,11,14,…5, 8, 11, 14, \dots

  1. 1.Common difference: +3+3, so start with 3n3n.
  2. 2.When n=1n=1, 3n=33n = 3, but the term is 5.
  3. 3.Adjust: 5−3=25 - 3 = 2.
  4. 4.nnth term =3n+2= 3n + 2.
II

Guided Check

If p=4p = 4, find the value of 3p−53p - 5.

    III

    Independent Diagnostic Practice

    Q1Year 7 bridging6A2 — Use simple formulae·Fluency·●○○Draft — awaiting teacher review

    If n=5n = 5, what is 4n+34n + 3?

    Q2Year 7 bridging6A3 — Generate and describe linear number sequences·Reasoning·●●○Draft — awaiting teacher review

    What is the nnth term of 7,11,15,19,…7, 11, 15, 19, \dots?

    Q3Year 7 bridging6A4 — Express missing number problems algebraically·Problem Solving·●●●Draft — awaiting teacher review

    A number is doubled and then 6 is added. The result is 30. What was the number?