Formulas
Find the rule for the following pattern: 2, 5, 8, 11...
3n-1.
The rule for a pattern is 2n+1. The first 2 terms in the pattern are 3, 5,... What is the 3rd term?
7
The nth term in the sequence: 2, 5, 8, 11, ...
3n-1
11 is the ___ term in the following series: 2, 5, 8, 11, ...
4th term
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
Find the rule for the following pattern: 7, 13, 19, ...
6n+1
The rule for a pattern is 6n+1. The first 2 terms in the pattern are 7, 13,... What is the 7th term?
43
The nth term in the sequence: 4, 8, 12, 16,...
4n
2 is the ___ term in the following series: 2, 5, 8, 11, ...
1st term
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
Find the rule for the following pattern: 24, 18, 12, ...
-6n+30
The rule for a pattern is 5n-2. The first 2 terms in the pattern are 3, 8,... What is the 5th term?
23
The nth term in the following series: 5, 8, 11, 14, ...
3n+2
Find the 10th term in the following pattern: 8, 15, 22, 29, ...
71
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
Find the rule for the following pattern: 78, 67, 56, ...
-11n +89
The rule for a pattern is -2n+1. The first 2 terms in the pattern are -1, -3,... What is the 20th term?
-39
The nth term in the sequence: 63, 59, 55, ...
-4n+67
Find the 25th term in the following pattern: 2, 7, 12, 17, ...
122
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
Find the rule for the following pattern: -2, -3, -4, -5, ...
-n-1
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
The nth term in the sequence 3, 11, 19, 27, ...
8n-5
The ninth term of a sequence is 32. The term-to-term rule is "add 3". Work out the fifth term of the sequence.
20
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