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 + 16
  • nth term = -3n2 + 9
  • nth term = -n2 - 6
  • nth term = -4n2 - 9
  • nth term = 5n2 + 6n + 4
  • nth term = n2 - 15n - 1
  • nth term = n2 - 12n - 1
  • nth term = -4n2 + 17n - 2

Question 3: Using differences

Find the first and second difference for the following sequences
  • sequence: -206163048
    First difference:
    Second difference:
  • sequence: 04163664100
    First difference:
    Second difference:
  • sequence: -4012326096
    First difference:
    Second difference:

Question 3: Finding nth term

Write down the nth term formula for the following sequences.
  • 15, 30, 55, 90, 135, 190, 255
  • 12, 21, 36, 57, 84, 117
  • 9, 39, 89, 159, 249, 359, 489
  • -5, 1, 11, 25, 43, 65
  • 6, 27, 62, 111, 174, 251
  • 17, 41, 81, 137, 209, 297, 401
  • 20, 50, 100, 170, 260, 370, 500
  • 10, 13, 18, 25, 34
  • -1, 14, 39, 74, 119, 174
  • -9, -6, -1, 6, 15, 26, 39

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Date:
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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 + 16
  • nth term = -3n2 + 9
  • nth term = -n2 - 6
  • nth term = -4n2 - 9
  • nth term = 5n2 + 6n + 4
  • nth term = n2 - 15n - 1
  • nth term = n2 - 12n - 1
  • nth term = -4n2 + 17n - 2
Leave
blank

Question 3: Using differences

Find the first and second difference for the following sequences
  • sequence: -206163048
    First difference:
    Second difference:
  • sequence: 04163664100
    First difference:
    Second difference:
  • sequence: -4012326096
    First difference:
    Second difference:
Leave
blank

Question 3: Finding nth term

Write down the nth term formula for the following sequences.
  • 15, 30, 55, 90, 135, 190, 255
  • 12, 21, 36, 57, 84, 117
  • 9, 39, 89, 159, 249, 359, 489
  • -5, 1, 11, 25, 43, 65
  • 6, 27, 62, 111, 174, 251
  • 17, 41, 81, 137, 209, 297, 401
  • 20, 50, 100, 170, 260, 370, 500
  • 10, 13, 18, 25, 34
  • -1, 14, 39, 74, 119, 174
  • -9, -6, -1, 6, 15, 26, 39
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 + 16
  • nth term = -3n2 + 9
  • nth term = -n2 - 6
  • nth term = -4n2 - 9
  • nth term = 5n2 + 6n + 4
  • nth term = n2 - 15n - 1
  • nth term = n2 - 12n - 1
  • nth term = -4n2 + 17n - 2
Leave
blank

Question 3: Using differences

Find the first and second difference for the following sequences
  • sequence: -206163048
    First difference:
    Second difference:
  • sequence: 04163664100
    First difference:
    Second difference:
  • sequence: -4012326096
    First difference:
    Second difference:
Leave
blank

Question 3: Finding nth term

Write down the nth term formula for the following sequences.
  • 15, 30, 55, 90, 135, 190, 255
  • 12, 21, 36, 57, 84, 117
  • 9, 39, 89, 159, 249, 359, 489
  • -5, 1, 11, 25, 43, 65
  • 6, 27, 62, 111, 174, 251
  • 17, 41, 81, 137, 209, 297, 401
  • 20, 50, 100, 170, 260, 370, 500
  • 10, 13, 18, 25, 34
  • -1, 14, 39, 74, 119, 174
  • -9, -6, -1, 6, 15, 26, 39
Leave
blank

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  1. YOLO says:

    veeeee whut u doin
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