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Sequences Practice Worksheet
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Sequences Practice Worksheet
Look at how each term changes to find the pattern. For nth-term rules, n means the position of a term in the sequence. Show your working when asked.
Spot and continue patterns
1.Write the list numbers that follow a consistent pattern.
2.Describe the rule connecting the terms 6, 11, 16, 21, 26.
3.Describe the rule connecting the terms 72, 64, 56, 48, 40.
4.Describe the rule connecting the terms 2, 10, 50, 250.
5.Write the next two terms: 9, 18, 27, 36, __, __.
6.Write the next two terms: 95, 85, 75, 65, __, __.
7.Write the next two terms: 4, 12, 36, 108, __, __.
8.Write the next two terms: 1, 4, 9, 16, 25, __, __.
Find terms and rules
9.A sequence begins 8, 13, 18, 23, ... Find its 6th term.
10.A sequence begins 8, 13, 18, 23, ... Find its 11th term.
11.Write an nth-term rule for the sequence 8, 13, 18, 23, ...
Position n
1
2
3
4
7
10
Term
5
9
13
17
_____
_____
12.Which nth-term rule generates 7, 10, 13, 16, 19, ...?
- 2n + 5
- 3n + 4
- 4n + 3
- 3n + 7
13.Match each sequence to its nth-term rule.
- 4, 7, 10, 13, ...
- 6, 8, 10, 12, ...
- 3, 5, 7, 9, ...
- 5, 8, 11, 14, ...
- 2n + 4
- 3n + 2
- 3n + 1
- 2n + 1
Sequences in problems
14.A theatre has 14 seats in its first row. Each following row has 3 more seats than the row before. How many seats are in the 5th row?
15.A theatre has 14 seats in its first row. Each following row has 3 more seats than the row before. How many seats are in the 12th row?
16.In a theatre, the first row has 14 seats and each next row has 3 extra seats. Which row has 35 seats? Show how you know.
17.A sequence has nth term 3n² + 2. Find its first four terms.
18.A sequence has nth term 3n² + 2. Which term has a value of 75?
3 printable pages
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