Looking at the worksheet, I need to find the next two numbers in each sequence and write the rule for the pattern.
Let me work through each sequence one by one:
Sequence 1: 1, 12, 23, 34, 45, __, __
- From 1 to 12: +11
- From 12 to 23: +11
- From 23 to 34: +11
- From 34 to 45: +11
- So the rule is: Add 11 each time
- Next number: 45 + 11 = 56
- After that: 56 + 11 = 67
Sequence 2: 80, 35, -10, -55, __, __
- From 80 to 35: -45
- From 35 to -10: -45
- From -10 to -55: -45
- So the rule is: Subtract 45 each time
- Next number: -55 - 45 = -100
- After that: -100 - 45 = -145
Sequence 3: -15, -7, 1, 9, __, __
- From -15 to -7: +8
- From -7 to 1: +8
- From 1 to 9: +8
- So the rule is: Add 8 each time
- Next number: 9 + 8 = 17
- After that: 17 + 8 = 25
Sequence 4: 112, 84, 56, 28, __, __
- From 112 to 84: -28
- From 84 to 56: -28
- From 56 to 28: -28
- So the rule is: Subtract 28 each time
- Next number: 28 - 28 = 0
- After that: 0 - 28 = -28
Sequence 5: 447, 512, 577, 642, __, __
- From 447 to 512: +65
- From 512 to 577: +65
- From 577 to 642: +65
- So the rule is: Add 65 each time
- Next number: 642 + 65 = 707
- After that: 707 + 65 = 772
Sequence 6: 1, 4, 16, 64, __, __
- From 1 to 4: ×4
- From 4 to 16: ×4
- From 16 to 64: ×4
- So the rule is: Multiply by 4 each time
- Next number: 64 × 4 = 256
- After that: 256 × 4 = 1024
Sequence 7: 15, 8, 1, -6, __, __
- From 15 to 8: -7
- From 8 to 1: -7
- From 1 to -6: -7
- So the rule is: Subtract 7 each time
- Next number: -6 - 7 = -13
- After that: -13 - 7 = -20
Final Answer:
1. Next numbers: 56, 67 | Rule: Add 11
2. Next numbers: -100, -145 | Rule: Subtract 45
3. Next numbers: 17, 25 | Rule: Add 8
4. Next numbers: 0, -28 | Rule: Subtract 28
5. Next numbers: 707, 772 | Rule: Add 65
6. Next numbers: 256, 1024 | Rule: Multiply by 4
7. Next numbers: -13, -20 | Rule: Subtract 7
Parent Tip: Review the logic above to help your child master the concept of sequences worksheet year.
