Skills · Functions · Sequences

Finding a term of an arithmetic sequence

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

• the next term: 3, 7, 11, 15, …: next term
• a term far down the list: 3, 7, 11, 15, …: a20
• a term of a falling sequence: 40, 37, 34, 31, …: a15
• the first term from two others: a4 = 10 and a9 = 25: a1

Sample Sheet · Level 1

1. 6, 8, 10, 12, …: next term =
2. 8, 15, 22, 29, …: next term =
3. 27, 21, 15, 9, …: next term =
4. 12, 14, 16, 18, …: next term =
5. 5, 7, 9, 11, …: a₁₀ =
6. 9, 17, 25, 33, …: a₁₉ =
7. 10, 16, 22, 28, …: a₁₃ =
8. 1, 5, 9, 13, …: a₂₇ =

Answer key

1. 14
2. 36
3. 3
4. 20
5. 23
6. 153
7. 82
8. 105

Sample Sheet · Level 3

1. 28, 20, 12, 4, …: next term =
2. 17, 26, 35, 44, …: next term =
3. 1, 8, 15, 22, …: a₂₅ =
4. 8, 19, 30, 41, …: a₁₈ =
5. 78, 69, 60, 51, …: a₁₇ =
6. 51, 48, 45, 42, …: a₉ =
7. a₅ = −52 and a₉ = −112: a₁ =
8. a₃ = −36 and a₇ = −96: a₁ =

Answer key

1. −4
2. 53
3. 169
4. 195
5. −66
6. 27
7. 8
8. −6

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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