Formulas
Patterns
Find the nth term
Find the term
Generating sequence
100

Find the rule for the following pattern: 2, 5, 8, 11...

3n-1

100

The rule for a pattern is 2n+1. The first 2 terms in the pattern are 3, 5,... What is the 3rd term?

7

100

The nth term in the sequence: 2, 5, 8, 11, ...

3n-1

100

11 is the ___ term in the series: 2, 5, 8, 11, ...

4th term

100

First-term is 9, the term-to-term rule is "subtract 4". Write down the first four terms of the sequence.

9, 5, 1, -3

200

Find the rule for the following pattern: 7, 13, 19, ...

6n+1

200

The rule for a pattern is 6n+1. The first 2 terms in the pattern are 7, 13,... What is the 7th term?

43

200

The nth term in the sequence: 4, 8, 12, 16,...

4n

200

2 is the ___ term in the series: 2, 5, 8, 11, ...

1st term

200

First-term is -5, the term-to-term rule is "add 2". Write down the first four terms of the sequence.

-5, -3, -1, 1

300

Find the rule for the following pattern: 24, 18, 12, ...

-6n+30

300

The rule for a pattern is 5n-2. The first 2 terms in the pattern are 3, 8,... What is the 5th term?

23

300

The nth term in the following series: 5, 8, 11, 14, ...

3n+2

300

Find the 10th term in the following pattern: 8, 15, 22, 29, ...

71

300

First-term is -64, the term-to-term rule is "divide by 2". Write down the first four terms of the sequence.

-64, -32, -16, -8

400

Find the rule for the following pattern: 78, 67, 56, ...

-11n +89

400

The rule for a pattern is -2n+1. The first 2 terms in the pattern are  -1, -3,... What is the 20th term?

-39

400

The nth term in the sequence: 63, 59, 55, ...

-4n+67

400

Find the 25th term in the following pattern: 2, 7, 12, 17, ...

122

400

First-term is 10, the term-to-term rule is "subtract 1, subtract 3, subtract 5, ...". Write down the first four terms of the sequence.

10, 9, 6, 1

500

Find the rule for the following pattern: -2, -3, -4, -5, ...

-n-1

500

The rule for a pattern is 2-2n. Work out the first three terms and the 55th term of the sequence. 

0, -2, -4

55th term = - 108

500

The nth term in the sequence 3, 11, 19, 27, ...

8n-5

500

The ninth term of a sequence is 32. The term-to-term rule is "add 3". Work out the fifth sequence term.  

20

500

First-term is -3, the term-to-term rule is "add 2, add 3, add 5, ...". Write down the first four terms of the sequence.

-3, -1, 2, 7

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