I'll solve each number pattern step by step.
Pattern 1: 1, 3, 5, 7, 9, ___, ___, ___
- Looking at the differences: 3-1=2, 5-3=2, 7-5=2, 9-7=2
- The pattern is adding 2 each time (odd numbers)
- Next: 9+2=11, 11+2=13, 13+2=15
- Answer: 11, 13, 15
Pattern 2: 2, 4, 6, 8, 10, ___, ___, ___
- Looking at the differences: 4-2=2, 6-4=2, 8-6=2, 10-8=2
- The pattern is adding 2 each time (even numbers)
- Next: 10+2=12, 12+2=14, 14+2=16
- Answer: 12, 14, 16
Pattern 3: 24, 34, 44, 54, ___, ___, ___
- Looking at the differences: 34-24=10, 44-34=10, 54-44=10
- The pattern is adding 10 each time
- Next: 54+10=64, 64+10=74, 74+10=84
- Answer: 64, 74, 84
Pattern 4: 3, 6, 9, 12, 15, ___, ___, ___
- Looking at the differences: 6-3=3, 9-6=3, 12-9=3, 15-12=3
- The pattern is adding 3 each time (multiples of 3)
- Next: 15+3=18, 18+3=21, 21+3=24
- Answer: 18, 21, 24
Pattern 5: 35, 40, 45, 50, ___, ___, ___
- Looking at the differences: 40-35=5, 45-40=5, 50-45=5
- The pattern is adding 5 each time
- Next: 50+5=55, 55+5=60, 60+5=65
- Answer: 55, 60, 65
Pattern 6: 11, 22, 33, 44, ___, ___, ___
- Looking at the differences: 22-11=11, 33-22=11, 44-33=11
- The pattern is adding 11 each time
- Next: 44+11=55, 55+11=66, 66+11=77
- Answer: 55, 66, 77
Pattern 7: 9, 19, 29, 39, ___, ___, ___
- Looking at the differences: 19-9=10, 29-19=10, 39-29=10
- The pattern is adding 10 each time
- Next: 39+10=49, 49+10=59, 59+10=69
- Answer: 49, 59, 69
Final Answer:
1. 11, 13, 15
2. 12, 14, 16
3. 64, 74, 84
4. 18, 21, 24
5. 55, 60, 65
6. 55, 66, 77
7. 49, 59, 69
Parent Tip: Review the logic above to help your child master the concept of pattern worksheet in math.