Let’s solve each part step by step.
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1. Write the next 3 terms for each pattern and write the pattern rule.
a) 1, 4, 7, 10, __, __, __
Look at the differences between consecutive terms:
- 4 - 1 =
3
- 7 - 4 =
3
- 10 - 7 =
3
✔ Pattern Rule: Add 3 to the previous term.
So, next terms:
- 10 + 3 =
13
- 13 + 3 =
16
- 16 + 3 =
19
Answer:
> Next 3 terms:
13, 16, 19
> Rule:
Add 3 each time
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b) 76, 65, 54, 43, __, __, __
Differences:
- 65 - 76 =
-11
- 54 - 65 =
-11
- 43 - 54 =
-11
✔ Pattern Rule: Subtract 11 from the previous term.
Next terms:
- 43 - 11 =
32
- 32 - 11 =
21
- 21 - 11 =
10
Answer:
> Next 3 terms:
32, 21, 10
> Rule:
Subtract 11 each time
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##
2. Complete each pattern.
a) 13, 17, 21, __, 29, 33, 37
Differences:
- 17 - 13 =
4
- 21 - 17 =
4
- So, likely add 4 each time.
Check: 21 + 4 =
25, then 25 + 4 = 29
✔
Answer: 25
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b) 91, 86, 81, 91, 86, __, 91, 86, 81
This looks like a repeating cycle.
Group them:
- 91, 86, 81 → then again 91, 86, __ → then 91, 86, 81
So the pattern is:
91, 86, 81 repeating.
After 86 should come
81
Answer: 81
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c) 10, 11, 13, 16, __, 25, 31
Look at the differences:
- 11 - 10 =
+1
- 13 - 11 =
+2
- 16 - 13 =
+3
→ So next should be
+4 → 16 + 4 =
20
Then
+5 → 20 + 5 = 25
✔
Then
+6 → 25 + 6 = 31
✔
Perfect!
Answer: 20
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Plant Growth Problem
Given table:
| Number of Weeks | Height of Plant (cm) |
|------------------|----------------------|
| 1 | 6 |
| 2 | 12 |
| 3 | 18 |
How much does the plant grow each week? What is the pattern?
- From Week 1 to Week 2: 12 - 6 =
+6 cm
- From Week 2 to Week 3: 18 - 12 =
+6 cm
✔ The plant grows 6 cm each week.
Pattern: The height is
6 times the number of weeks.
→ Formula:
Height = 6 × weeks
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How tall will the plant be in 8 weeks? In 12 weeks?
Using the formula:
Height = 6 × weeks
- In 8 weeks: 6 × 8 =
48 cm
- In 12 weeks: 6 × 12 =
72 cm
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##
✔ FINAL ANSWERS:
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1. a)
Next 3 terms:
13, 16, 19
Rule:
Add 3 each time
1. b)
Next 3 terms:
32, 21, 10
Rule:
Subtract 11 each time
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2. a) 25
2. b) 81
2. c) 20
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Plant Growth:
- The plant grows
6 cm each week.
- Pattern:
Height = 6 × number of weeks
- In 8 weeks:
48 cm
- In 12 weeks:
72 cm
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✔ All problems solved!
Parent Tip: Review the logic above to help your child master the concept of pattern rule worksheet grade 7.
