Let's solve each of these pattern recognition problems step by step. The goal is to determine the rule governing the sequence and then use it to find the missing numbers.
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1) Pattern: 94, 85, 76, 67, 58, ?, ?
Step-by-step:
- 94 → 85: -9
- 85 → 76: -9
- 76 → 67: -9
- 67 → 58: -9
So, subtracting 9 each time.
Next:
- 58 - 9 =
49
- 49 - 9 =
40
✔ Answer: C. 49, 40
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2) Pattern: 86, 77, 68, 59, 50, ?, ?
- 86 → 77: -9
- 77 → 68: -9
- 68 → 59: -9
- 59 → 50: -9
Again, subtracting 9.
Next:
- 50 - 9 =
41
- 41 - 9 =
32
✔ Answer: B. 41, 32
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3) Pattern: 26, 30, 34, 38, 42, ?, ?
- 26 → 30: +4
- 30 → 34: +4
- 34 → 38: +4
- 38 → 42: +4
Adding 4 each time.
Next:
- 42 + 4 =
46
- 46 + 4 =
50
✔ Answer: C. 46, 50
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4) Pattern: 41, 51, 61, 71, 81, ?, ?
- 41 → 51: +10
- 51 → 61: +10
- 61 → 71: +10
- 71 → 81: +10
Add 10 each time.
Next:
- 81 + 10 =
91
- 91 + 10 =
101
✔ Answer: C. 91, 101
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5) Pattern: 49, 44, 39, 34, 29, ?, ?
- 49 → 44: -5
- 44 → 39: -5
- 39 → 34: -5
- 34 → 29: -5
Subtract 5 each time.
Next:
- 29 - 5 =
24
- 24 - 5 =
19
✔ Answer: B. 24, 19
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6) Pattern: 18, 25, 32, 39, 46, ?, ?
- 18 → 25: +7
- 25 → 32: +7
- 32 → 39: +7
- 39 → 46: +7
Add 7 each time.
Next:
- 46 + 7 =
53
- 53 + 7 =
60
✔ Answer: D. 53, 60
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7) Pattern: 64, 61, 58, 55, 52, ?, ?
- 64 → 61: -3
- 61 → 58: -3
- 58 → 55: -3
- 55 → 52: -3
Subtract 3 each time.
Next:
- 52 - 3 =
49
- 49 - 3 =
46
✔ Answer: C. 49, 46
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8) Pattern: 108, 99, 90, 81, 72, ?, ?
- 108 → 99: -9
- 99 → 90: -9
- 90 → 81: -9
- 81 → 72: -9
Subtract 9 each time.
Next:
- 72 - 9 =
63
- 63 - 9 =
54
✔ Answer: D. 63, 54
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9) Pattern: 33, 41, 49, 57, 65, ?, ?
- 33 → 41: +8
- 41 → 49: +8
- 49 → 57: +8
- 57 → 65: +8
Add 8 each time.
Next:
- 65 + 8 =
73
- 73 + 8 =
81
✔ Answer: C. 73, 81
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10) Pattern: 25, 30, 35, 40, 45, ?, ?
- 25 → 30: +5
- 30 → 35: +5
- 35 → 40: +5
- 40 → 45: +5
Add 5 each time.
Next:
- 45 + 5 =
50
- 50 + 5 =
55
✔ Answer: A. 50, 55
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✔ Final Answers:
1.
C. 49, 40
2.
B. 41, 32
3.
C. 46, 50
4.
C. 91, 101
5.
B. 24, 19
6.
D. 53, 60
7.
C. 49, 46
8.
D. 63, 54
9.
C. 73, 81
10.
A. 50, 55
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Let me know if you'd like a printed version or explanation in another format!
Parent Tip: Review the logic above to help your child master the concept of patterns and functions worksheet.
