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Quadratic sequences worksheet

This document contains questions on quadratic sequences. You can learn more about quadratic sequences in the entry made on the front page section; Quadratic sequences

Question 1: Quadratic sequences

  • Write down the first 5 terms for the sequences defined by the following quadratic formulae.
    nth term = 2n2 + 3
    nth term = -3n2 - 13
    nth term = n2 + 12
    nth term = -1n2 - 4n - 5
    nth term = 2n2 - 5n - 5
    nth term = n2 + n + 2

Question 3: Using differences

  • Find the first and second difference for the following sequence
    sequence: -2-1271423
    First difference:
    Second difference:

Question 3: Finding nth term

  • Write down the nth term formula for the following sequences.
    -8,-5,0,7,16,27,40
    -2,1,6,13,22,33,46
    -8,-5,0,7,16,27
    5,8,13,20,29,40,53
    -7,-4,1,8,17,28,41
    -1,2,7,14,23,34,47
    -2,1,6,13,22,33,46
    -7,-4,1,8,17,28,41
    8,11,16,23,32,43
    0,3,8,15,24,35
  • Work out an nth term formula for the triangular numbers
    1, 3, 6, 10, 15, 21

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