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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 10 terms for the sequences defined by the following quadratic formulae.
  • nth term = -3n2 + 10
  • nth term = -n2 + 13
  • nth term = -4n2 - 20
  • nth term = 2n2 - 17
  • nth term = -4n2 - 16n - 4
  • nth term = 5n2 - 5n + 4
  • nth term = -n2 - 6n + 5
  • nth term = n2 + 6n + 5

Question 3: Using differences

Find the first and second difference for the following sequences
  • sequence: 37193967103
    First difference:
    Second difference:
  • sequence: 3511213553
    First difference:
    Second difference:
  • sequence: -41164176121
    First difference:
    Second difference:

Question 3: Finding nth term

Write down the nth term formula for the following sequences.
  • 3, 15, 35, 63, 99, 143, 195
  • 2, 5, 10, 17, 26, 37, 50
  • 8, 17, 32, 53, 80, 113, 152
  • -4, -1, 4, 11, 20
  • 2, 5, 10, 17, 26, 37
  • 5, 32, 77, 140, 221, 320, 437
  • 9, 30, 65, 114, 177, 254
  • 1, 28, 73, 136, 217, 316, 433
  • -2, 16, 46, 88, 142, 208, 286
  • 6, 21, 46, 81, 126, 181

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Date:
Firstname:
Quadratic sequences
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Question 1: Quadratic sequences

Write down the first 10 terms for the sequences defined by the following quadratic formulae.
  • nth term = -3n2 + 10
  • nth term = -n2 + 13
  • nth term = -4n2 - 20
  • nth term = 2n2 - 17
  • nth term = -4n2 - 16n - 4
  • nth term = 5n2 - 5n + 4
  • nth term = -n2 - 6n + 5
  • nth term = n2 + 6n + 5
Leave
blank

Question 3: Using differences

Find the first and second difference for the following sequences
  • sequence: 37193967103
    First difference:
    Second difference:
  • sequence: 3511213553
    First difference:
    Second difference:
  • sequence: -41164176121
    First difference:
    Second difference:
Leave
blank

Question 3: Finding nth term

Write down the nth term formula for the following sequences.
  • 3, 15, 35, 63, 99, 143, 195
  • 2, 5, 10, 17, 26, 37, 50
  • 8, 17, 32, 53, 80, 113, 152
  • -4, -1, 4, 11, 20
  • 2, 5, 10, 17, 26, 37
  • 5, 32, 77, 140, 221, 320, 437
  • 9, 30, 65, 114, 177, 254
  • 1, 28, 73, 136, 217, 316, 433
  • -2, 16, 46, 88, 142, 208, 286
  • 6, 21, 46, 81, 126, 181
Leave
blank

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Date:
Firstname:
Quadratic sequences
Surname:

Question 1: Quadratic sequences

Write down the first 10 terms for the sequences defined by the following quadratic formulae.
  • nth term = -3n2 + 10
  • nth term = -n2 + 13
  • nth term = -4n2 - 20
  • nth term = 2n2 - 17
  • nth term = -4n2 - 16n - 4
  • nth term = 5n2 - 5n + 4
  • nth term = -n2 - 6n + 5
  • nth term = n2 + 6n + 5
Leave
blank

Question 3: Using differences

Find the first and second difference for the following sequences
  • sequence: 37193967103
    First difference:
    Second difference:
  • sequence: 3511213553
    First difference:
    Second difference:
  • sequence: -41164176121
    First difference:
    Second difference:
Leave
blank

Question 3: Finding nth term

Write down the nth term formula for the following sequences.
  • 3, 15, 35, 63, 99, 143, 195
  • 2, 5, 10, 17, 26, 37, 50
  • 8, 17, 32, 53, 80, 113, 152
  • -4, -1, 4, 11, 20
  • 2, 5, 10, 17, 26, 37
  • 5, 32, 77, 140, 221, 320, 437
  • 9, 30, 65, 114, 177, 254
  • 1, 28, 73, 136, 217, 316, 433
  • -2, 16, 46, 88, 142, 208, 286
  • 6, 21, 46, 81, 126, 181
Leave
blank

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2 Responses to “Quadratic sequences worksheet”

  1. YOLO says:

    veeeee whut u doin
    YOLO

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