Let's solve each number sequence step by step and identify the pattern.
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1. 2, 4, 6, 8, _____, _____
-
Pattern: Each number increases by 2.
- So:
8 + 2 = 10
10 + 2 = 12
✔ Next numbers: 10, 12
✔ The pattern is: Adding 2 each time (or even numbers increasing by 2)
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2. 3, 6, 9, 12, _____, _____
-
Pattern: Each number increases by 3.
- So:
12 + 3 = 15
15 + 3 = 18
✔ Next numbers: 15, 18
✔ The pattern is: Adding 3 each time
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3. 115, 120, 125, 130, _____, _____
-
Pattern: Each number increases by 5.
- So:
130 + 5 = 135
135 + 5 = 140
✔ Next numbers: 135, 140
✔ The pattern is: Adding 5 each time
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4. 1050, 1060, 1070, _____, _____
-
Pattern: Each number increases by 10.
- So:
1070 + 10 = 1080
1080 + 10 = 1090
✔ Next numbers: 1080, 1090
✔ The pattern is: Adding 10 each time
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5. 10, 9, 8, 7, _____, _____, _____
-
Pattern: Each number decreases by 1.
- So:
7 - 1 = 6
6 - 1 = 5
5 - 1 = 4
✔ Next numbers: 6, 5, 4
✔ The pattern is: Subtracting 1 each time
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6. 2075, 2050, 2025, _____, _____
-
Pattern: Each number decreases by 25.
- So:
2025 - 25 = 2000
2000 - 25 = 1975
✔ Next numbers: 2000, 1975
✔ The pattern is: Subtracting 25 each time
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7. 850, 841, 832, _____, _____, _____
- Let’s check the difference:
- 850 - 841 = 9
- 841 - 832 = 9
- So, it's decreasing by 9 each time.
- Continue:
- 832 - 9 = 823
- 823 - 9 = 814
- 814 - 9 = 805
✔ Next numbers: 823, 814, 805
✔ The pattern is: Subtracting 9 each time
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✔ Final Answers:
1.
2, 4, 6, 8, 10, 12
→ The pattern is:
Adding 2 each time
2.
3, 6, 9, 12, 15, 18
→ The pattern is:
Adding 3 each time
3.
115, 120, 125, 130, 135, 140
→ The pattern is:
Adding 5 each time
4.
1050, 1060, 1070, 1080, 1090
→ The pattern is:
Adding 10 each time
5.
10, 9, 8, 7, 6, 5, 4
→ The pattern is:
Subtracting 1 each time
6.
2075, 2050, 2025, 2000, 1975
→ The pattern is:
Subtracting 25 each time
7.
850, 841, 832, 823, 814, 805
→ The pattern is:
Subtracting 9 each time
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Parent Tip: Review the logic above to help your child master the concept of sequences worksheet grade 6.
