Final Answer:
Section A:
First table:
- 4, 7, 10, 13 → nth term = 3n + 1
- 6, 9, 12, 15 → nth term = 3n + 3
- 9, 11, 13, 15 → nth term = 2n + 7
- 15, 19, 23, 27 → nth term = 4n + 11
- 32, 42, 52, 62 → nth term = 10n + 22
- 76, 82, 88, 94 → nth term = 6n + 70
Second table:
- 1, 4, 7, 10 → nth term = 3n - 2
- 3, 8, 13, 18 → nth term = 5n - 2
- -2, 0, 2, 4 → nth term = 2n - 4
- -5, -2, 1, 4 → nth term = 3n - 8
- -6, -1, 4, 9 → nth term = 5n - 11
- -10, -7, -4, -1 → nth term = 3n - 13
Section B:
First table:
- 4, 3, 2, 1 → nth term = -n + 5
- 8, 6, 4, 2 → nth term = -2n + 10
- 17, 12, 7, 2 → nth term = -5n + 22
- 0, -1, -2, -3 → nth term = -n + 1
- 1, -1, -3, -5 → nth term = -2n + 3
- 3, -2, -7, -12 → nth term = -5n + 8
Second table:
- -4, -7, -10, -13 → nth term = -3n - 1
- -11, -13, -15, -17 → nth term = -2n - 9
- -16, -20, -24, -28 → nth term = -4n - 12
- 1.5, 3.5, 5.5, 7.5 → nth term = 2n - 0.5
- 8.8, 8.6, 8.4, 8.2 → nth term = -0.2n + 9
- 3/4, 4/4, 5/4, 6/4 → nth term = (1/4)n + 2/4 or (n + 2)/4
Extension:
i. an + b → e.g., 3n + 1 (like first sequence)
ii. an – b → e.g., 3n - 2 (like second sequence in Section A)
iii. –an + b → e.g., -n + 5 (like first sequence in Section B)
iv. –an – b → e.g., -3n - 1 (like first sequence in Section B second table)
Parent Tip: Review the logic above to help your child master the concept of arithmetic worksheet pdf.
