Number Patterns and Sequences

14, 18 ___, 26, 30

Add 4 to each term to get the next term.
So, 14 + 4 = 18
18 + 4 = 22
22 + 4 = 26                   
26 + 4 = 30

9, 11, 13, __
Pattern: Add 2 to each term to get the next term.
9 + 2 = 11
11 + 2 = 13
13 + 2 = 15

50, 45, 40, __

Subtract 5 from each term to get the next term.
50 - 5 = 45
45 - 5 = 40
40 - 5 = 35

20, ___, 12, 8, 4
Pattern: Subtract 4 from each term to get the next term.
20 - 4 = 16       
16 - 4 = 12
12 - 4 = 8
8 - 4 = 4

54, 51, 48, 45, 42, ____

54 - 51 = 3
51 - 48 = 3
So, the difference between the terms is 3.

1000, ____, 250, 125

Divide each term by 2 to get the next term.

1000 ÷ 2 = 500
500 ÷ 2 = 250
250 ÷ 2 = 125

1, 3, 9, 27, ...

Multiply each term by 3 to get the next term.
1 × 3 = 3
3 × 3 = 9
9 × 3 = 27
27 × 3 = 81

4, 8, 16, ___, 64

Multiply each term by 2 to get the next term.

4 × 2 = 8
8 × 2 = 16
16 × 2 = 32
32 × 2 = 64

2, 6, 18, ...
Multiply each term by 3 to get the next term.
2 × 3 = 6
6 × 3 = 18
18 × 3 = 54

2, 3, 5, 8, 13, ...
Add the previous two terms to get the next term.
2 + 3 = 5
3 + 5 = 8
8 + 5 = 13
13 + 8 = 21

90, 80, 70 ___
Subtract 10 from each term to get the next term.
90 - 10 = 80
80 - 10 = 70
70 - 10 = 60

150, 142, 134, 126, ___
<span style="font-family:" arial;="" font-size:="" small;="">Subtract 8 from each term to get the next term.
So, 126 - 8 = 118 

4, 8, 16, 32, ...
Multiply each term by 2 to get the next term.
4 × 2 = 8
8 × 2 = 16
16 ×2 = 32
32 × 2 = 64

ABC, ABCD, ABCDE, ...

In each term, write the next letter with the letters of the previous terms.
Therefore, ABCDEF is the next term of the given series.

35, 42, 49, ...
Add 7 to each term to get the next term.
49 + 7 = 56

10, 20 ______, 80, 160

Multiply each term by 2 to get the next term.
10 x 2 = 20
20 x 2 = 40
40 x 2 = 80
80 x 2 = 160

The pattern is doubling each term (multiply by 2): 2×2=4, 4×2=8, 8×2=16, 16×2=32. This represents powers of 2: 2¹, 2², 2³, 2⁴, 2⁵. The missing term is 16.

248, 124, ___, 31
Divide each term by 2 to get the next term.

248 ÷ 2 = 124
124 ÷ 2 = 62
62 ÷ 2 = 31

168, 154, 140, ____, 112

Subtract 14 from each term to get the next term.
Therefore, 140 - 14 = 126 is the answer.

36, 45, 54, 63, ___, ____           

Add 9 to each term to get the next term.
So, 63 + 9 = 72
72 + 9 = 81