Explanation:
Let’s go step by step through each part.
Part 1: Write the next number in the sequence, then write what the pattern is.
1.
2, 4, 6, 8, 10, 12, ___
Look at the differences:
4 − 2 = 2
6 − 4 = 2
8 − 6 = 2
10 − 8 = 2
12 − 10 = 2
So it's adding 2 each time →
next number = 12 + 2 = 14
Pattern:
Add 2
2.
3, 6, 9, 12, 15, 18, ___
Differences:
6−3=3, 9−6=3, etc. → adding 3 each time
Next = 18 + 3 =
21
Pattern:
Add 3
3.
23, 20, 17, 14, 11, 8, ___
Differences:
20−23 = −3, 17−20 = −3, etc. → subtracting 3
Next = 8 − 3 =
5
Pattern:
Subtract 3
4.
4, 14, 24, 34, 44, 54, ___
Differences:
14−4 = 10, 24−14 = 10, etc. → add 10
Next = 54 + 10 =
64
Pattern:
Add 10
5.
52, 44, 36, 28, 20, 12, ___
Differences:
44−52 = −8, 36−44 = −8, etc. → subtract 8
Next = 12 − 8 =
4
Pattern:
Subtract 8
6.
7, 14, 21, 28, 35, 42, ___
Differences:
14−7 = 7, 21−14 = 7, etc. → add 7
Next = 42 + 7 =
49
Pattern:
Add 7
✔ Double-check all:
- 14, 21, 5, 64, 4, 49 — all correct.
Part 2: Write the next number in each sequence according to the rule.
1.
Add 5: 55, 60, 65, ___
65 + 5 =
70
2.
Subtract 11: 88, 77, ___
77 − 11 =
66
3.
Add 9: 0, ___, ___, ___
Start from 0:
0 + 9 =
9
9 + 9 =
18
18 + 9 =
27
So the next three numbers are:
9, 18, 27
Let me verify again:
- Add 5: 55→60→65→70 ✔️
- Subtract 11: 88→77→66 ✔️
- Add 9: 0→9→18→27 ✔️
All correct.
Final Answer:
1. 14, Add 2
2. 21, Add 3
3. 5, Subtract 3
4. 64, Add 10
5. 4, Subtract 8
6. 49, Add 7
1. 70
2. 66
3. 9, 18, 27
Parent Tip: Review the logic above to help your child master the concept of pattern worksheet for 4th graders.
