Quadratic sequences worksheet

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 + 10
  • nth term = n2 + 14
  • nth term = n2 - 11
  • nth term = -n2 - 12
  • nth term = 4n2 + 4n + 3
  • nth term = -4n2 - 1n - 2
  • nth term = 5n2 + 13n + 1
  • nth term = n2 + 17n + 3

Question 3: Using differences

Find the first and second difference for the following sequences
  • sequence: 37193967103
    First difference:
    Second difference:
  • sequence: -4-3051221
    First difference:
    Second difference:
  • sequence: -4-3051221
    First difference:
    Second difference:

Question 3: Finding nth term

Write down the nth term formula for the following sequences.
  • -6, 3, 18, 39, 66, 99, 138
  • 13, 34, 69, 118, 181
  • 15, 42, 87, 150, 231, 330
  • -5, 10, 35, 70, 115, 170, 235
  • 16, 34, 64, 106, 160, 226
  • 9, 27, 57, 99, 153, 219
  • 1, 7, 17, 31, 49
  • -1, 14, 39, 74, 119
  • 6, 15, 30, 51, 78, 111, 150
  • 7, 19, 39, 67, 103, 147, 199

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Date:
Firstname:
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 + 10
  • nth term = n2 + 14
  • nth term = n2 - 11
  • nth term = -n2 - 12
  • nth term = 4n2 + 4n + 3
  • nth term = -4n2 - 1n - 2
  • nth term = 5n2 + 13n + 1
  • nth term = n2 + 17n + 3
Leave
blank

Question 3: Using differences

Find the first and second difference for the following sequences
  • sequence: 37193967103
    First difference:
    Second difference:
  • sequence: -4-3051221
    First difference:
    Second difference:
  • sequence: -4-3051221
    First difference:
    Second difference:
Leave
blank

Question 3: Finding nth term

Write down the nth term formula for the following sequences.
  • -6, 3, 18, 39, 66, 99, 138
  • 13, 34, 69, 118, 181
  • 15, 42, 87, 150, 231, 330
  • -5, 10, 35, 70, 115, 170, 235
  • 16, 34, 64, 106, 160, 226
  • 9, 27, 57, 99, 153, 219
  • 1, 7, 17, 31, 49
  • -1, 14, 39, 74, 119
  • 6, 15, 30, 51, 78, 111, 150
  • 7, 19, 39, 67, 103, 147, 199
Leave
blank
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 + 10
  • nth term = n2 + 14
  • nth term = n2 - 11
  • nth term = -n2 - 12
  • nth term = 4n2 + 4n + 3
  • nth term = -4n2 - 1n - 2
  • nth term = 5n2 + 13n + 1
  • nth term = n2 + 17n + 3
Leave
blank

Question 3: Using differences

Find the first and second difference for the following sequences
  • sequence: 37193967103
    First difference:
    Second difference:
  • sequence: -4-3051221
    First difference:
    Second difference:
  • sequence: -4-3051221
    First difference:
    Second difference:
Leave
blank

Question 3: Finding nth term

Write down the nth term formula for the following sequences.
  • -6, 3, 18, 39, 66, 99, 138
  • 13, 34, 69, 118, 181
  • 15, 42, 87, 150, 231, 330
  • -5, 10, 35, 70, 115, 170, 235
  • 16, 34, 64, 106, 160, 226
  • 9, 27, 57, 99, 153, 219
  • 1, 7, 17, 31, 49
  • -1, 14, 39, 74, 119
  • 6, 15, 30, 51, 78, 111, 150
  • 7, 19, 39, 67, 103, 147, 199
Leave
blank

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  1. YOLO says:

    veeeee whut u doin
    YOLO

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