Skills · Functions · Sequences

Finding a term of a geometric 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, 6, 12, 24, …: next term
• a term further on: 3, 6, 12, 24, …: a7
• a negative ratio: 2, −6, 18, −54, …: a6
• a fraction ratio: 192, 96, 48, 24, …: a7

Sample Sheet · Level 1

1. 2, 6, 18, 54, …: next term =
2. 4, 12, 36, 108, …: next term =
3. 5, 15, 45, 135, …: next term =
4. 6, 12, 24, 48, …: next term =
5. 1, 3, 9, 27, …: a₈ =
6. 5, 10, 20, 40, …: a₉ =
7. 1, 2, 4, 8, …: a₉ =
8. 9, 18, 36, 72, …: a₇ =

Answer key

1. 162
2. 324
3. 405
4. 96
5. 2,187
6. 1,280
7. 256
8. 576

Sample Sheet · Level 3

1. −1, −2, −4, −8, …: next term =
2. −3, −9, −27, −81, …: next term =
3. 6, −12, 24, −48, …: a₈ =
4. 5, 15, 45, 135, …: a₇ =
5. 128, 64, 32, 16, …: a₈ =
6. 5, −10, 20, −40, …: a₅ =
7. 384, 192, 96, 48, …: a₈ =
8. 9, 18, 36, 72, …: a₉ =

Answer key

1. −16
2. −243
3. −768
4. 3,645
5. 1
6. 80
7. 3
8. 2,304

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.

Make it in WingitAsk your AI assistant