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

- n
^{th}term = -3n^{2}+ 10 - n
^{th}term = -n^{2}+ 13 - n
^{th}term = -4n^{2}- 20 - n
^{th}term = 2n^{2}- 17 - n
^{th}term = -4n^{2}- 16n - 4 - n
^{th}term = 5n^{2}- 5n + 4 - n
^{th}term = -n^{2}- 6n + 5 - n
^{th}term = n^{2}+ 6n + 5

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## Question 3: Using differences

Find the first and second difference for the following sequences

sequence: 3 7 19 39 67 103 First difference: Second difference: sequence: 3 5 11 21 35 53 First difference: Second difference: sequence: -4 1 16 41 76 121 First difference: Second difference:

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## 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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Quadratic sequences

Surname:

## Question 1: Quadratic sequences

Write down the first 10 terms for the sequences defined by the following quadratic formulae.

- n
^{th}term = -3n^{2}+ 10 - n
^{th}term = -n^{2}+ 13 - n
^{th}term = -4n^{2}- 20 - n
^{th}term = 2n^{2}- 17 - n
^{th}term = -4n^{2}- 16n - 4 - n
^{th}term = 5n^{2}- 5n + 4 - n
^{th}term = -n^{2}- 6n + 5 - n
^{th}term = n^{2}+ 6n + 5

Leave

blank

blank

## Question 3: Using differences

Find the first and second difference for the following sequences

sequence: 3 7 19 39 67 103 First difference: Second difference: sequence: 3 5 11 21 35 53 First difference: Second difference: sequence: -4 1 16 41 76 121 First difference: Second difference:

Leave

blank

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

blank

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