What makes a sequence arithmetic?

The same number is added (or subtracted) each time. That constant is called the common difference.

How do I print or save these worksheets as a PDF?

Click Print worksheet and choose your printer, or pick “Save as PDF” as the destination to keep a digital copy. The answer key prints on its own page.

Can I get a fresh set of problems?

Yes. Click New problems for a brand new randomly generated worksheet, as many times as you like.

Is this worksheet generator free?

Yes. Every generator on the site is free to use, with no account, no watermark and unlimited printing for classroom or home use.

Arithmetic sequences worksheet generator

Number pattern practice: continue the sequence, state the rule, or jump straight to the nth term with a formula.

Number Patterns & Sequences

Name: Date:

1.
What comes next? 30, 25, 20, 15, ___
2.
What comes next? 25, 30, 35, 40, ___
3.
What comes next? 3, 15, 27, 39, ___
4.
What comes next? 25, 16, 7, -2, ___
5.
What comes next? 27, 35, 43, 51, ___
6.
What comes next? 8, 4, 0, -4, ___
7.
What comes next? 24, 33, 42, 51, ___
8.
What comes next? 24, 33, 42, 51, ___
9.
What comes next? 14, 10, 6, 2, ___
10.
What comes next? 7, 10, 13, 16, ___
11.
What comes next? 9, 2, -5, -12, ___
12.
What comes next? 28, 25, 22, 19, ___
13.
What comes next? 1, 11, 21, 31, ___
14.
What comes next? 2, 11, 20, 29, ___
15.
What comes next? 29, 23, 17, 11, ___
16.
What comes next? 28, 39, 50, 61, ___
17.
What comes next? 14, 10, 6, 2, ___
18.
What comes next? 16, 21, 26, 31, ___
19.
What comes next? 3, 9, 15, 21, ___
20.
What comes next? 27, 25, 23, 21, ___

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Number Patterns & Sequences — Answer Key

Name: Date:

1.
What comes next? 30, 25, 20, 15, ___
10
2.
What comes next? 25, 30, 35, 40, ___
45
3.
What comes next? 3, 15, 27, 39, ___
51
4.
What comes next? 25, 16, 7, -2, ___
-11
5.
What comes next? 27, 35, 43, 51, ___
59
6.
What comes next? 8, 4, 0, -4, ___
-8
7.
What comes next? 24, 33, 42, 51, ___
60
8.
What comes next? 24, 33, 42, 51, ___
60
9.
What comes next? 14, 10, 6, 2, ___
-2
10.
What comes next? 7, 10, 13, 16, ___
19
11.
What comes next? 9, 2, -5, -12, ___
-19
12.
What comes next? 28, 25, 22, 19, ___
16
13.
What comes next? 1, 11, 21, 31, ___
41
14.
What comes next? 2, 11, 20, 29, ___
38
15.
What comes next? 29, 23, 17, 11, ___
5
16.
What comes next? 28, 39, 50, 61, ___
72
17.
What comes next? 14, 10, 6, 2, ___
-2
18.
What comes next? 16, 21, 26, 31, ___
36
19.
What comes next? 3, 9, 15, 21, ___
27
20.
What comes next? 27, 25, 23, 21, ___
19

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Frequently asked questions

What makes a sequence arithmetic?: The same number is added (or subtracted) each time. That constant is called the common difference.
How do I print or save these worksheets as a PDF?: Click Print worksheet and choose your printer, or pick “Save as PDF” as the destination to keep a digital copy. The answer key prints on its own page.
Can I get a fresh set of problems?: Yes. Click New problems for a brand new randomly generated worksheet, as many times as you like.
Is this worksheet generator free?: Yes. Every generator on the site is free to use, with no account, no watermark and unlimited printing for classroom or home use.