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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 6 terms for the sequences defined by the following quadratic formulae.
    nth term = -4n2 - 10
    nth term = n2 + 2
    nth term = 2n2 - 5
    nth term = -6n2 - n - 5
    nth term = -10n2 - 3n - 5
    nth term = -1n2 - 3n - 4

Question 3: Using differences

  • Find the first and second difference for the following sequence
    sequence: -3113336197
    First difference:
    Second difference:

Question 3: Finding nth term

  • Write down the nth term formula for the following sequences.
    -9,-6,-1,6,15,26,39
    -4,-1,4,11,20,31
    -9,-6,-1,6,15,26,39
    3,6,11,18,27,38
    8,11,16,23,32
    11,14,19,26,35
    9,12,17,24,33
    -5,-2,3,10,19,30,43
    -3,0,5,12,21,32
    -3,0,5,12,21
  • Work out an nth term formula for the triangular numbers
    1, 3, 6, 10, 15, 21

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