# 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 6 terms for the sequences defined by the following quadratic formulae.

- n
^{th}term = 2n^{2}+ 16 - n
^{th}term = 3n^{2}+ 14 - n
^{th}term = -2n^{2}- 19 - n
^{th}term = 2n^{2}- 17 - n
^{th}term = 3n^{2}+ 7n - 1 - n
^{th}term = -5n^{2}+ 16n + 5 - n
^{th}term = 5n^{2}- 13n + 2 - n
^{th}term = -4n^{2}- 20n - 5

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## Question 3: Using differences

Find the first and second difference for the following sequences

sequence: 3 8 23 48 83 128 First difference: Second difference: sequence: 4 8 20 40 68 104 First difference: Second difference: sequence: 0 5 20 45 80 125 First difference: Second difference:

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## Question 3: Finding nth term

Write down the nth term formula for the following sequences.

- 3, 12, 27, 48, 75
- -1, 20, 55, 104, 167, 244, 335
- 3, 27, 67, 123, 195, 283, 387
- 12, 27, 52, 87, 132
- 2, 5, 10, 17, 26
- 9, 33, 73, 129, 201, 289
- -1, 23, 63, 119, 191
- 1, 25, 65, 121, 193
- -4, 11, 36, 71, 116
- 9, 24, 49, 84, 129, 184, 249

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Quadratic sequences

Surname:

## Question 1: Quadratic sequences

Write down the first 6 terms for the sequences defined by the following quadratic formulae.

- n
^{th}term = 2n^{2}+ 16 - n
^{th}term = 3n^{2}+ 14 - n
^{th}term = -2n^{2}- 19 - n
^{th}term = 2n^{2}- 17 - n
^{th}term = 3n^{2}+ 7n - 1 - n
^{th}term = -5n^{2}+ 16n + 5 - n
^{th}term = 5n^{2}- 13n + 2 - n
^{th}term = -4n^{2}- 20n - 5

Leave

blank

blank

## Question 3: Using differences

Find the first and second difference for the following sequences

sequence: 3 8 23 48 83 128 First difference: Second difference: sequence: 4 8 20 40 68 104 First difference: Second difference: sequence: 0 5 20 45 80 125 First difference: Second difference:

Leave

blank

blank

## Question 3: Finding nth term

Write down the nth term formula for the following sequences.

- 3, 12, 27, 48, 75
- -1, 20, 55, 104, 167, 244, 335
- 3, 27, 67, 123, 195, 283, 387
- 12, 27, 52, 87, 132
- 2, 5, 10, 17, 26
- 9, 33, 73, 129, 201, 289
- -1, 23, 63, 119, 191
- 1, 25, 65, 121, 193
- -4, 11, 36, 71, 116
- 9, 24, 49, 84, 129, 184, 249

Leave

blank

blank

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