Lucy
Ask the AI Tutor
Need help with Number Sequences (Medium)? Ask our AI Tutor!
Lucy AI Tutor - Lucy
Connecting with Tutor...
Please wait while we establish connection
Lucy
Hi! I'm Lucy, your AI tutor. How can I help you with Number Sequences (Medium) today?
now
Logo

Maths Quiz - Number Sequences (Medium) (Questions)

Dominoes and numbers have more in common than you think. This 11 Plus Maths quiz helps you recognise number patterns that grow or shrink step by step.

Explore the Topic →
(quiz starts below)

Fascinating Fact:

Dominoes can form arithmetic sequences, with each new piece showing one more dot than the last, turning a game into a number pattern.

In 11 Plus Maths, sequences teach logical thinking and mathematical reasoning. By studying number patterns, pupils learn how rules can describe everything from domino games to complex equations.

  • Arithmetic Sequence: A sequence where the same number is added or subtracted each time, like 3, 6, 9, 12.
  • Difference: The fixed amount added or subtracted to move from one term to the next in a sequence.
  • Term: An individual number in a sequence that follows a rule or pattern.
What is an arithmetic sequence?

An arithmetic sequence is a list of numbers with a constant difference between each term, such as adding 2 every time to form 2, 4, 6, 8.

How do dominoes show number sequences?

Dominoes often follow numerical patterns, like increasing dots by one per tile, showing a visual example of how sequences build step by step.

Why are number sequences useful in maths?

Number sequences help pupils identify relationships, build prediction skills, and prepare for algebra by spotting mathematical rules and patterns.

1. Which sequence can be formed from the given rule for the nth term?
nth term = 2n + 3
[ ] 1, 7, 9, 13, ...
[ ] 1, 5, 7, 9, ...
[ ] 2, 5, 7, 9, ...
[ ] 5, 7, 9, 11, ...
2. Which sequence can be formed from the given rule for the nth term?
nth term = 2n
[ ] 2, 4, 8, 16, ...
[ ] 3, 6, 9, 12, ...
[ ] 1, 2, 4, 6, ...
[ ] 2, 4, 6, 8, ...
3. Which sequence can be formed from the given rule for the nth term?
nth term = 2n - 1
[ ] 1, 3, 5, 9, ...
[ ] 1, 3, 5, 7, ...
[ ] 0, 1, 3, 5, ...
[ ] 1, 5, 15, 45, ...
4. Which sequence can be formed from the given rule for the nth term?
nth term = -n + 1
[ ] 0, 1, 2, 3, ...
[ ] 0, -1, -2, -3, ...
[ ] 1, 2, 3, 4, ...
[ ] 1, 3, 5, 7, ...
5. Which sequence can be formed from the given rule for the nth term?
nth term = -5n
[ ] -5, -10, -15, -20, ...
[ ] 5, 10, 15, 20, ...
[ ] 0, -5, -10, -15, ...
[ ] -5, -25, -125, -625, ...
6. Which sequence can be formed from the given rule for the nth term?
nth term = 4n + 7
[ ] 11, 15, 18, 23, ...
[ ] 11, 13, 15, 19, ...
[ ] 11, 15, 19, 23, ...
[ ] 11, 12, 15, 19, ...
7. Which sequence can be formed from the given rule for the nth term?
nth term = n2
[ ] 1, 4, 9, 16, ...
[ ] 2, 4, 6, 8, ...
[ ] 1, 2, 3, 4, ...
[ ] 1, 8, 27, 64, ...
8. Which sequence can be formed from the given rule for the nth term?
nth term = n2 - n
[ ] 0, 3, 8, 15, ...
[ ] 0, 2, 6, 12, ...
[ ] 0, 2, 4, 6, 8, ...
[ ] 1, 3, 5, 7, ...
9. Which sequence can be formed from the given rule for the nth term?
nth term = 6n
[ ] 6, 12, 18, 24, ...
[ ] 0, 6, 12, 18, ...
[ ] 2, 4, 6, 8, ...
[ ] 1, 6, 12, 18, ...
10. Which sequence can be formed from the given rule for the nth term?
nth term = 4n - 1
[ ] 5, 7, 11, 15, ...
[ ] 3, 7, 12, 15, ...
[ ] 3, 8, 11, 15, ...
[ ] 3, 7, 11, 15, ...
Logo
Maths Quiz - Number Sequences (Medium) (Answers)
1. Which sequence can be formed from the given rule for the nth term?
nth term = 2n + 3
[ ] 1, 7, 9, 13, ...
[ ] 1, 5, 7, 9, ...
[ ] 2, 5, 7, 9, ...
[x] 5, 7, 9, 11, ...
The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the nth term = 2n + 3. As follows (do the multiplication first THEN the addition):
n = 1 gives 2 × 1 + 3 = 5
n = 2 gives 2 × 2 + 3 = 7
n = 3 gives 2 × 3 + 3 = 9
n = 4 gives 2 × 4 + 3 = 11
2. Which sequence can be formed from the given rule for the nth term?
nth term = 2n
[ ] 2, 4, 8, 16, ...
[ ] 3, 6, 9, 12, ...
[ ] 1, 2, 4, 6, ...
[x] 2, 4, 6, 8, ...
The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the nth term = 2n. As follows:
n = 1 gives 2 × 1 = 2
n = 2 gives 2 × 2 = 4
n = 3 gives 2 × 3 = 6
n = 4 gives 2 × 4 = 8
3. Which sequence can be formed from the given rule for the nth term?
nth term = 2n - 1
[ ] 1, 3, 5, 9, ...
[x] 1, 3, 5, 7, ...
[ ] 0, 1, 3, 5, ...
[ ] 1, 5, 15, 45, ...
The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the nth term = 2n -1. As follows (do the multiplication first THEN the subtraction):
n = 1 gives 2 × 1 - 1 = 1
n = 2 gives 2 × 2 - 1 = 3
n = 3 gives 2 × 3 - 1 = 5
n = 4 gives 2 × 4 - 1 = 7
4. Which sequence can be formed from the given rule for the nth term?
nth term = -n + 1
[ ] 0, 1, 2, 3, ...
[x] 0, -1, -2, -3, ...
[ ] 1, 2, 3, 4, ...
[ ] 1, 3, 5, 7, ...
The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the nth term = -n + 1. As follows:
n = 1 gives -1 + 1 = 0
n = 2 gives -2 + 1 = -1
n = 3 gives -3 + 1 = -2
n = 4 gives -4 + 1 = -3
5. Which sequence can be formed from the given rule for the nth term?
nth term = -5n
[x] -5, -10, -15, -20, ...
[ ] 5, 10, 15, 20, ...
[ ] 0, -5, -10, -15, ...
[ ] -5, -25, -125, -625, ...
The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the nth term = -5n. As follows:
n = 1 gives -5 × 1 = -5
n = 2 gives -5 × 2 = -10
n = 3 gives -5 × 3 = -15
n = 4 gives -5 × 4 = -20
6. Which sequence can be formed from the given rule for the nth term?
nth term = 4n + 7
[ ] 11, 15, 18, 23, ...
[ ] 11, 13, 15, 19, ...
[x] 11, 15, 19, 23, ...
[ ] 11, 12, 15, 19, ...
The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the nth term = 4n + 7. As follows (do the multiplication first THEN the addition):
n = 1 gives 4 × 1 + 7 = 11
n = 2 gives 4 × 2 + 7 = 15
n = 3 gives 4 × 3 + 7 = 19
n = 4 gives 4 × 4 + 7 = 23
7. Which sequence can be formed from the given rule for the nth term?
nth term = n2
[x] 1, 4, 9, 16, ...
[ ] 2, 4, 6, 8, ...
[ ] 1, 2, 3, 4, ...
[ ] 1, 8, 27, 64, ...
The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the nth term = n2. As follows:
n = 1 gives 12 = 1
n = 2 gives 22 = 4
n = 3 gives 32 = 9
n = 4 gives 42 = 16
8. Which sequence can be formed from the given rule for the nth term?
nth term = n2 - n
[ ] 0, 3, 8, 15, ...
[x] 0, 2, 6, 12, ...
[ ] 0, 2, 4, 6, 8, ...
[ ] 1, 3, 5, 7, ...
The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the nth term = n2 - n. As follows (do the multiplication first THEN the addition):
n = 1 gives 12 - 1 = 0
n = 2 gives 22 - 2 = 2
n = 3 gives 32 - 3 = 6
n = 4 gives 42 - 4 = 12
9. Which sequence can be formed from the given rule for the nth term?
nth term = 6n
[x] 6, 12, 18, 24, ...
[ ] 0, 6, 12, 18, ...
[ ] 2, 4, 6, 8, ...
[ ] 1, 6, 12, 18, ...
The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the nth term = 6n. As follows (do the multiplication first THEN the addition):
n = 1 gives 6 × 1 = 6
n = 2 gives 6 × 2 = 12
n = 3 gives 6 × 3 = 18
n = 4 gives 6 × 4 = 24
10. Which sequence can be formed from the given rule for the nth term?
nth term = 4n - 1
[ ] 5, 7, 11, 15, ...
[ ] 3, 7, 12, 15, ...
[ ] 3, 8, 11, 15, ...
[x] 3, 7, 11, 15, ...
The terms of the sequence are found by first putting n = 1, then n = 2, then n = 3 and finally n = 4 in the rule for the nth term = 4n - 1. As follows (do the multiplication first THEN the subtraction):
n = 1 gives 4 × 1 - 1 = 3
n = 2 gives 4 × 2 - 1 = 7
n = 3 gives 4 × 3 - 1 = 11
n = 4 gives 4 × 4 - 1 = 15