___________
Maths
Sequences
Finding the nth term

Starter quiz

  • The n^\text{th} term is the position of a term in a sequence (n is the term number). It can be used to calculate any term so is also known as a __________ for finding the n^\text{th} term.
    • formula  ✓
    • sequence
    • variable
  • What is the term-to-term rule for this pattern sequence?
    What is the term-to-term rule for this pattern sequence?
    • Multiply by 3
    • Goes up by 1
    • Multiply by 3 and add 1
    • Add 3  ✓
  • What is the position-to-term rule for this pattern sequence?
    What is the position-to-term rule for this pattern sequence?
    • Multiply the term number by 3
    • Add 1 to the previous term
    • Multiply the term number by 3 and add 1  ✓
    • Add 3 to the previous term
  • Which of these are arithmetic (linear) sequences?
    • 1, 2, 4, 8, ...
    • 1, 4, 8, 13, ...
    • 1, 4, 7, 10, ...  ✓
    • 10, 7, 4, 1, ...  ✓
    • 0.4, 0.7, 1, 1.3, ...  ✓
  • This pattern represents people seated around an increasing number of tables. If you were asked to find the number of people around 50 tables, which calculation would you do?
    This pattern represents people seated around an increasing number of tables. If you were asked to find the number of people around 50 tables, which calculation would you do?
    • 50 \times 4
    • 50 \times 2 + 4
    • 50 \times 6
    • 4 + 4 + 4 + 4 + 4 + \;... fifty times.
    • 50 \times 4 + 2  ✓
  • Order these arithmetic sequences in terms of the size of their common difference. Start with the greatest common difference.
    • 1
      ⇔
      -101, -87, -73, -59, ...
    • 2
      ⇔
      124, 133, 142, 151, ...
    • 3
      ⇔
      -8, 0, 8, 16, 24, ...
    • 4
      ⇔
      -5, 2.5, 10, 17.5 ...
    • 5
      ⇔
      1852, 1859, 1866, 1873, ...
    • 6
      ⇔
      1896, 1888, 1880, 1872, ...
    • 7
      ⇔
      2190, 2180, 2170, 2160, ...
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