Explanation:
Let’s solve each problem one by one. We need to find the pattern in each sequence and then write the next three numbers.
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Problem 1:
Sequence: 104, 113, 122, 131, 140, …
Look at the differences between consecutive numbers:
- 113 − 104 =
9
- 122 − 113 =
9
- 131 − 122 =
9
- 140 − 131 =
9
✔ So it's adding
9 each time.
Next three numbers:
- 140 + 9 =
149
- 149 + 9 =
158
- 158 + 9 =
167
How do we know? Because the difference is always 9 — it’s an arithmetic sequence with common difference 9.
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Problem 2:
Sequence: 331, 316, 301, 286, 271, …
Find the differences:
- 316 − 331 =
−15
- 301 − 316 =
−15
- 286 − 301 =
−15
- 271 − 286 =
−15
✔ So it's subtracting
15 each time.
Next three numbers:
- 271 − 15 =
256
- 256 − 15 =
241
- 241 − 15 =
226
How do we know? Each step goes down by 15 — consistent subtraction.
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Problem 3:
Sequence: 890, 780, 670, 560, 450, …
Differences:
- 780 − 890 =
−110
- 670 − 780 =
−110
- 560 − 670 =
−110
- 450 − 560 =
−110
✔ So it's subtracting
110 each time.
Next three numbers:
- 450 − 110 =
340
- 340 − 110 =
230
- 230 − 110 =
120
How do we know? The drop is always 110 — same pattern throughout.
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Final Answer:
1. 149, 158, 167
2. 256, 241, 226
3. 340, 230, 120
Parent Tip: Review the logic above to help your child master the concept of patterns worksheet grade 5.
