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Quadratic sequences worksheet

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Quadratic sequences

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This document contains questions about 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 16 terms for the sequences defined by the following quadratic formulae.
  • nth term = -n2 + 5
  • nth term = -2n2 + 10
  • nth term = -5n2 - 13
  • nth term = n2 - 19
  • nth term = -3n2 - 6n - 5
  • nth term = 5n2 - 10n - 2
  • nth term = 3n2 - 18n - 4
  • nth term = 4n2 + 8n - 5

Question 3: Using differences

Find the first and second difference for the following sequences
  • sequence: -6-210305894
    First difference:
    Second difference:
  • sequence: -6-5-231019
    First difference:
    Second difference:
  • sequence: 0312274875
    First difference:
    Second difference:

Question 3: Finding nth term

Write down the nth term formula for the following sequences.
  • 8, 23, 48, 83, 128, 183
  • 1, 22, 57, 106, 169, 246, 337
  • 8, 26, 56, 98, 152
  • 0, 27, 72, 135, 216, 315, 432
  • 2, 26, 66, 122, 194
  • -9, -6, -1, 6, 15, 26
  • 16, 46, 96, 166, 256, 366, 496
  • 1, 4, 9, 16, 25, 36, 49
  • 1, 7, 17, 31, 49, 71
  • 11, 35, 75, 131, 203, 291

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Quadratic sequences
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Question 1: Quadratic sequences

Write down the first 16 terms for the sequences defined by the following quadratic formulae.
  • nth term = -n2 + 5
  • nth term = -2n2 + 10
  • nth term = -5n2 - 13
  • nth term = n2 - 19
  • nth term = -3n2 - 6n - 5
  • nth term = 5n2 - 10n - 2
  • nth term = 3n2 - 18n - 4
  • nth term = 4n2 + 8n - 5
Leave
blank

Question 3: Using differences

Find the first and second difference for the following sequences
  • sequence: -6-210305894
    First difference:
    Second difference:
  • sequence: -6-5-231019
    First difference:
    Second difference:
  • sequence: 0312274875
    First difference:
    Second difference:
Leave
blank

Question 3: Finding nth term

Write down the nth term formula for the following sequences.
  • 8, 23, 48, 83, 128, 183
  • 1, 22, 57, 106, 169, 246, 337
  • 8, 26, 56, 98, 152
  • 0, 27, 72, 135, 216, 315, 432
  • 2, 26, 66, 122, 194
  • -9, -6, -1, 6, 15, 26
  • 16, 46, 96, 166, 256, 366, 496
  • 1, 4, 9, 16, 25, 36, 49
  • 1, 7, 17, 31, 49, 71
  • 11, 35, 75, 131, 203, 291
Leave
blank

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Date:
Firstname:
Quadratic sequences
Surname:

Question 1: Quadratic sequences

Write down the first 16 terms for the sequences defined by the following quadratic formulae.
  • nth term = -n2 + 5
  • nth term = -2n2 + 10
  • nth term = -5n2 - 13
  • nth term = n2 - 19
  • nth term = -3n2 - 6n - 5
  • nth term = 5n2 - 10n - 2
  • nth term = 3n2 - 18n - 4
  • nth term = 4n2 + 8n - 5
Leave
blank

Question 3: Using differences

Find the first and second difference for the following sequences
  • sequence: -6-210305894
    First difference:
    Second difference:
  • sequence: -6-5-231019
    First difference:
    Second difference:
  • sequence: 0312274875
    First difference:
    Second difference:
Leave
blank

Question 3: Finding nth term

Write down the nth term formula for the following sequences.
  • 8, 23, 48, 83, 128, 183
  • 1, 22, 57, 106, 169, 246, 337
  • 8, 26, 56, 98, 152
  • 0, 27, 72, 135, 216, 315, 432
  • 2, 26, 66, 122, 194
  • -9, -6, -1, 6, 15, 26
  • 16, 46, 96, 166, 256, 366, 496
  • 1, 4, 9, 16, 25, 36, 49
  • 1, 7, 17, 31, 49, 71
  • 11, 35, 75, 131, 203, 291
Leave
blank

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