1. i. a. 22, b. 32, c. 32, d. 5
ii. a. Add 4 each time, b. Add 2, then 4, then 6, then 8, ..., c. Multiply by 2 each time, d. Subtract 3 each time
iii. a. Linear, b. Quadratic, c. Geometric, d. Linear
2. The nth term or Tₙ is a formula that allows you to calculate any term in a sequence based on its position number n.
3. a. Term 7 = 26, b. Term 2 = 1, c. Term 20 = 86, d. Term 1 = -2, e. Term 6 = 40, f. Term 3 = 18, g. Term 7 = 42, h. Term 6 = -10
4. Correct answers: b. 14, c. 5, d. 5, f. 100, g. 30
Corrections: a. Term 5 = 13, e. Term 5 = 22, h. Term 5 = 400
5. a. 5, 8, 11, 14, 17
b. 3, 7, 11, 15, 19
c. 2, 7, 12, 17, 22
d. -2, 1, 4, 7, 10
e. 0, 3, 8, 15, 24
f. 3, 12, 27, 48, 75
6. a. Tₙ = 2n + 1
b. Tₙ = 4n - 2
c. Tₙ = 3n - 1
d. Tₙ = 4n + 3
e. Tₙ = 20 - 2n
f. Tₙ = 33 - 3n
Parent Tip: Review the logic above to help your child master the concept of sequences worksheet ks3.
