1. Find the nᵗʰ and 10ᵗʰ term of the following linear sequences:
a) nᵗʰ: 4n + 2, 10ᵗʰ: 42
b) nᵗʰ: 5n - 4, 10ᵗʰ: 46
c) nᵗʰ: 2n + 2, 10ᵗʰ: 22
d) nᵗʰ: 3n + 10, 10ᵗʰ: 40
e) nᵗʰ: n + 7, 10ᵗʰ: 17
f) nᵗʰ: 8n - 7, 10ᵗʰ: 73
g) nᵗʰ: 9n - 7, 10ᵗʰ: 83
h) nᵗʰ: 10n - 5, 10ᵗʰ: 95
i) nᵗʰ: 3n - 3, 10ᵗʰ: 27
j) nᵗʰ: 6n - 7, 10ᵗʰ: 53
k) nᵗʰ: 10n - 13, 10ᵗʰ: 87
l) nᵗʰ: -2n - 8, 10ᵗʰ: -28
2. Find the nᵗʰ term of the following linear sequences, these either increase by fractional amounts or decrease:
a) nᵗʰ: -2n + 12
b) nᵗʰ: 0.5n + 3
c) nᵗʰ: -0.2n + 0.4
d) nᵗʰ: -3n + 18
e) nᵗʰ: -4n
f) nᵗʰ: -n + 100
3. Find the first 4 terms of each linear sequence whose nᵗʰ term is:
a) 7, 8, 9, 10
b) 4, 5, 6, 7
c) -4, -3, -2, -1
d) 6, 7, 8, 9
e) 1, 5, 9, 13
f) 19, 27, 35, 43
g) 0, 6, 12, 18
h) 5, 10, 15, 20
i) 21, 18, 15, 12
Parent Tip: Review the logic above to help your child master the concept of worksheet sequences.
