Sure! Let’s solve each of the 7 pattern-generation problems step by step, generating
5 terms for each as instructed.
---
1. Start with 6 and add 4.
This is an
arithmetic sequence with a common difference of +4.
- Term 1: 6
- Term 2: 6 + 4 =
10
- Term 3: 10 + 4 =
14
- Term 4: 14 + 4 =
18
- Term 5: 18 + 4 =
22
✔ Answer: 6, 10, 14, 18, 22
---
2. Start with 10 and multiply by 2.
This is a
geometric sequence with a common ratio of ×2.
- Term 1: 10
- Term 2: 10 × 2 =
20
- Term 3: 20 × 2 =
40
- Term 4: 40 × 2 =
80
- Term 5: 80 × 2 =
160
✔ Answer: 10, 20, 40, 80, 160
---
3. Start with 36 and subtract 3.
Arithmetic sequence with common difference of -3.
- Term 1: 36
- Term 2: 36 - 3 =
33
- Term 3: 33 - 3 =
30
- Term 4: 30 - 3 =
27
- Term 5: 27 - 3 =
24
✔ Answer: 36, 33, 30, 27, 24
---
4. Start with 1 and multiply by 4.
Geometric sequence with ratio ×4.
- Term 1: 1
- Term 2: 1 × 4 =
4
- Term 3: 4 × 4 =
16
- Term 4: 16 × 4 =
64
- Term 5: 64 × 4 =
256
✔ Answer: 1, 4, 16, 64, 256
---
5. Start with 9 and add 11.
Arithmetic sequence with common difference +11.
- Term 1: 9
- Term 2: 9 + 11 =
20
- Term 3: 20 + 11 =
31
- Term 4: 31 + 11 =
42
- Term 5: 42 + 11 =
53
✔ Answer: 9, 20, 31, 42, 53
---
6. Start with 15 and add 3 and 5 alternatively.
This means:
Start at 15 → add 3 → add 5 → add 3 → add 5 → ...
- Term 1: 15
- Term 2: 15 + 3 =
18
- Term 3: 18 + 5 =
23
- Term 4: 23 + 3 =
26
- Term 5: 26 + 5 =
31
✔ Answer: 15, 18, 23, 26, 31
---
7. Start with 2,000 and divide by 2.
Geometric sequence with ratio ÷2 (or ×½).
- Term 1: 2000
- Term 2: 2000 ÷ 2 =
1000
- Term 3: 1000 ÷ 2 =
500
- Term 4: 500 ÷ 2 =
250
- Term 5: 250 ÷ 2 =
125
✔ Answer: 2000, 1000, 500, 250, 125
---
##
✔ Final Answers Summary:
1.
6, 10, 14, 18, 22
2.
10, 20, 40, 80, 160
3.
36, 33, 30, 27, 24
4.
1, 4, 16, 64, 256
5.
9, 20, 31, 42, 53
6.
15, 18, 23, 26, 31
7.
2000, 1000, 500, 250, 125
Let me know if you’d like to visualize these or turn them into graphs!
Parent Tip: Review the logic above to help your child master the concept of counting patterns worksheet.
