# 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 = 2n^{2}+ 20 - n
^{th}term = n^{2}+ 20 - n
^{th}term = n^{2}- 6 - n
^{th}term = -5n^{2}- 8 - n
^{th}term = -5n^{2}- 5n - 1 - n
^{th}term = 2n^{2}- 18n + 5 - n
^{th}term = -2n^{2}+ 4n - 3 - n
^{th}term = -3n^{2}+ 14n + 2

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## Question 3: Using differences

Find the first and second difference for the following sequences

sequence: -3 1 13 33 61 97 First difference: Second difference: sequence: 5 10 25 50 85 130 First difference: Second difference: sequence: -3 2 17 42 77 122 First difference: Second difference:

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## Question 3: Finding nth term

Write down the nth term formula for the following sequences.

- 14, 26, 46, 74, 110
- 0, 12, 32, 60, 96
- -3, 9, 29, 57, 93, 137, 189
- 9, 18, 33, 54, 81, 114
- 10, 13, 18, 25, 34, 45, 58
- -3, 12, 37, 72, 117, 172
- 10, 22, 42, 70, 106, 150
- -1, 17, 47, 89, 143, 209
- 9, 36, 81, 144, 225
- 5, 26, 61, 110, 173, 250, 341

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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 = 2n^{2}+ 20 - n
^{th}term = n^{2}+ 20 - n
^{th}term = n^{2}- 6 - n
^{th}term = -5n^{2}- 8 - n
^{th}term = -5n^{2}- 5n - 1 - n
^{th}term = 2n^{2}- 18n + 5 - n
^{th}term = -2n^{2}+ 4n - 3 - n
^{th}term = -3n^{2}+ 14n + 2

Leave

blank

blank

## Question 3: Using differences

Find the first and second difference for the following sequences

sequence: -3 1 13 33 61 97 First difference: Second difference: sequence: 5 10 25 50 85 130 First difference: Second difference: sequence: -3 2 17 42 77 122 First difference: Second difference:

Leave

blank

blank

## Question 3: Finding nth term

Write down the nth term formula for the following sequences.

- 14, 26, 46, 74, 110
- 0, 12, 32, 60, 96
- -3, 9, 29, 57, 93, 137, 189
- 9, 18, 33, 54, 81, 114
- 10, 13, 18, 25, 34, 45, 58
- -3, 12, 37, 72, 117, 172
- 10, 22, 42, 70, 106, 150
- -1, 17, 47, 89, 143, 209
- 9, 36, 81, 144, 225
- 5, 26, 61, 110, 173, 250, 341

Leave

blank

blank

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