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Worksheet for generating sequences from the nth term, designed for GCSE Foundation/Higher level algebra practice.

Worksheet titled "Generating sequences from the nth term" with four sections (A, B, C, D) containing algebraic expressions to find sequence terms, featuring a table for Section A and B, and numbered problems for Sections C and D, with a cartoon character and "cazoom!" logo in the top right corner.

Worksheet titled "Generating sequences from the nth term" with four sections (A, B, C, D) containing algebraic expressions to find sequence terms, featuring a table for Section A and B, and numbered problems for Sections C and D, with a cartoon character and "cazoom!" logo in the top right corner.

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Show Answer Key & Explanations Step-by-step solution for: Generating Sequences from the Nth Term Worksheet | Cazoom Maths ...
- Section A
- n + 2: 3, 4, 5, 6, 7
- n - 7: -6, -5, -4, -3, -2
- 4n: 4, 8, 12, 16, 20
- 3n + 1: 4, 7, 10, 13, 16
- 5n - 8: -3, 2, 7, 12, 17
- 2n + 0.5: 2.5, 4.5, 6.5, 8.5, 10.5
- 12n - 1.5: 10.5, 22.5, 34.5, 46.5, 58.5

- Section B
- 2 - n: 1, 0, -1, -2, -3
- 13 - n: 12, 11, 10, 9, 8
- -3n: -3, -6, -9, -12, -15
- 1 - 2n: -1, -3, -5, -7, -9
- -5n + 3: -2, -7, -12, -17, -22
- ½n: 0.5, 1, 1.5, 2, 2.5
- ¾n: 0.75, 1.5, 2.25, 3, 3.75

- Section C
1) 2n - 12: -10, -8, -6, -4
2) 6n - 10: -4, 2, 8, 14
3) n - 98: -97, -96, -95, -94
4) 3n + 7: 10, 13, 16, 19
5) 2.5n: 2.5, 5, 7.5, 10
6) 4 - 2n: 2, 0, -2, -4
7) 8 - n: 7, 6, 5, 4
8) 0.5n + 3: 3.5, 4, 4.5, 5
9) 6 - 3n: 3, 0, -3, -6
10) 6n: 6, 12, 18, 24
11) n/2: 0.5, 1, 1.5, 2
12) 8 - 5n: 3, -2, -7, -12

- Section D
1) 2(n + 1): 4, 6, 8
2) n²: 1, 4, 9
3) (n + 1)/n: 2, 1.5, 1.333...
4) 3(n + 5): 18, 21, 24
5) n² + 1: 2, 5, 10
6) 3n/2: 1.5, 3, 4.5
7) 10(n - 9): -80, -70, -60
8) n² + 5: 6, 9, 14
9) n(n + 2): 3, 8, 15
10) 25(1 - n): 0, -25, -50
11) 2n²: 2, 8, 18
12) n³: 1, 8, 27
Parent Tip: Review the logic above to help your child master the concept of sequences worksheet year 7.
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