#### Linear number patterns - Arithmetic progression.

1.
Consider the following number pattern: 4; 8; 12; 16; . . .
1.1
Write down the constant difference.
1.2
Write down the next three terms.
1.3
Determine a rule to find the general term of the pattern. / Determine T n
1.4
Calculte the value of the twentieth term. / Calculate T 20
2.
Study the following number pattern : 2; 5; 8; 11; . . .
2.1
Write down the next three terms.
2.2
Find a rule for the general term of the pattern.
2.3
Calculate the thirty third term of the pattern.
2.4
Determine T 9
3.
Determine the rule for each of the following paterns :
3.1
7; 12; 17; 22; . . .
3.2
13; 20; 27; 34; . . .
3.3
51; 62; 73; . . .
3.4
64; 61; 58; 55; . . .
3.5
81; 74; 67; . . .
3.6
11; 8; 5; . . .
3.7
12; 8; 4; . . .
3.8
-13; -20; -27; -34; . . .
3.9
-21; -26; -31; . . .
3.10
-11; -8; -5; . . .
3.11
-31; -28; -25; . . .
3.12
-11; -5; 1; . . .
2
4
6
8
2
4
6
8
3.13
--- ;
--- ;
--- ;
--- ;  · · ·
3.14
--- ;
--- ;
--- ;
--- ;  · · ·
5
5
5
5
7
7
7
7
2
4

8
3
1
1

3.15
--- ;
--- ;
2 ;
--- ;  · · ·
3.16
--- ;
1 --- ;
2 --- ;
3;  · · ·
3
3

3
4
2
4

-1
1

5
-18

-10
-6
3.17
--- ;
--- ;
1 ;
--- ;  · · ·
3.18
--- ;
-2 ;
----- ;
----;  · · ·
3
3

3
7

7
7