Mastering Number Sequences
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Mastering Number Sequences
Spot the pattern
For each sequence, fill in the missing term or terms and state the rule in words.
Build and use sequence tables
Complete each sequence carefully. Use the position numbers to help you describe the pattern.
Position
1
2
3
4
5
6
Term
7
__
__
__
__
__
Missing terms and matching rules
Use the information given to complete arithmetic sequences, then match sequences to their rules.
- A) 7, 12, 17, 22…
- B) 30, 26, 22, 18…
- C) 4, 12, 36, 108…
- D) 2, 6, 10, 14…
- E) 81, 27, 9, 3…
- F) 5, 10, 20, 40…
- Multiply by 2 each time
- Add 4 each time
- Subtract 4 each time
- Add 5 each time
- Multiply by 3 each time
- Divide by 3 each time
Challenge: nth term
For an arithmetic sequence, nth term = first term + (n − 1) × common difference. Use this relationship to find general terms and particular terms.
Check your understanding
Complete both questions independently.
- Add 3 each time
- Subtract 3 each time
- Multiply by 3 each time
- Divide by 3 each time
4 printable pages
Page 1
Page 2
Page 3
Page 4
About This Worksheet
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