# 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## Choose template

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.

- n
^{th}term = -n^{2}+ 5 - n
^{th}term = -2n^{2}+ 10 - n
^{th}term = -5n^{2}- 13 - n
^{th}term = n^{2}- 19 - n
^{th}term = -3n^{2}- 6n - 5 - n
^{th}term = 5n^{2}- 10n - 2 - n
^{th}term = 3n^{2}- 18n - 4 - n
^{th}term = 4n^{2}+ 8n - 5

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## Question 3: Using differences

Find the first and second difference for the following sequences

sequence: -6 -2 10 30 58 94 First difference: Second difference: sequence: -6 -5 -2 3 10 19 First difference: Second difference: sequence: 0 3 12 27 48 75 First difference: Second difference:

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## 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

Surname:

## Question 1: Quadratic sequences

Write down the first 16 terms for the sequences defined by the following quadratic formulae.

- n
^{th}term = -n^{2}+ 5 - n
^{th}term = -2n^{2}+ 10 - n
^{th}term = -5n^{2}- 13 - n
^{th}term = n^{2}- 19 - n
^{th}term = -3n^{2}- 6n - 5 - n
^{th}term = 5n^{2}- 10n - 2 - n
^{th}term = 3n^{2}- 18n - 4 - n
^{th}term = 4n^{2}+ 8n - 5

Leave

blank

blank

## Question 3: Using differences

Find the first and second difference for the following sequences

sequence: -6 -2 10 30 58 94 First difference: Second difference: sequence: -6 -5 -2 3 10 19 First difference: Second difference: sequence: 0 3 12 27 48 75 First difference: Second difference:

Leave

blank

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

blank

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