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Year 7 Sequences Worksheet
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Year 7 Sequences Worksheet
Look at how each term changes to spot the pattern. For arithmetic sequences, the same amount is added or subtracted each time. Show your working where useful.
Understanding Sequences
1.Which sequence is arithmetic, with the same amount added each time?
- 2, 5, 10, 17, 26
- 4, 9, 14, 19, 24
- 1, 4, 9, 16, 25
- 12, 15, 13, 16, 14
2.In the sequence 6, 13, 20, 27, 34, what is the common difference?
3.Continue the sequence 8, 14, 20, 26 by writing the next two terms.
4.Continue the sequence 72, 64, 56, 48 by writing the next two terms.
5.Continue the sequence 3, 11, 19, 27 by writing the next two terms.
6.Select every decreasing sequence.
- 84, 76, 68, 60
- 5, 9, 13, 17
- 41, 36, 31, 26
- 2, 6, 10, 14
Finding Terms and Patterns
7.The sequence 9, 14, 19, 24, ... continues by adding the same amount. Find its 6th term.
8.The sequence 9, 14, 19, 24, ... continues by adding the same amount. Find its 10th term.
9.A sequence begins at 2 and increases by 6 each term. Write its first six terms.
10.A sequence has nth term 2n + 3. Calculate the 1st term.
11.A sequence has nth term 2n + 3. Calculate the 6th term.
12.A sequence has nth term 2n + 3. Calculate the 18th term.
13.Match each sequence to the rule that generates it.
- 7, 12, 17, 22, ...
- 30, 26, 22, 18, ...
- 3, 10, 17, 24, ...
- 56, 49, 42, 35, ...
- Add 7
- Add 5
- Subtract 4
- Subtract 7
Sequence Problems
14.Idris has £4 in a savings jar and adds £2 each week. How much will be in the jar after 9 weeks of saving?
15.A theatre has 18 seats in its first row. Each following row has 4 more seats than the row before. How many seats are in row 8?
16.Write the first five terms of an arithmetic sequence that starts at 11 and increases by 5 each time.
17.Write the first five terms of an arithmetic sequence that starts at 46 and decreases by 6 each time.
18.An arithmetic sequence has a 6th term of 31 and a common difference of 5. What is its first term?
3 printable pages
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