Problem: Extend the next two numbers and state the pattern rule for each sequence.
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Step-by-Step Solution:
1.
Sequence: 56, 52, 48, 44, 40, 36, 32, ______, ______
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Pattern Rule: Each number decreases by 4.
- Next two numbers: \( 32 - 4 = 28 \) and \( 28 - 4 = 24 \).
-
Answer: 28, 24
2.
Sequence: 22, 31, 40, 49, 58, 67, 76, ______, ______
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Pattern Rule: Each number increases by 9.
- Next two numbers: \( 76 + 9 = 85 \) and \( 85 + 9 = 94 \).
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Answer: 85, 94
3.
Sequence: 20, 25, 30, 35, 40, 45, 50, ______, ______
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Pattern Rule: Each number increases by 5.
- Next two numbers: \( 50 + 5 = 55 \) and \( 55 + 5 = 60 \).
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Answer: 55, 60
4.
Sequence: 73, 68, 63, 58, 53, 48, 43, ______, ______
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Pattern Rule: Each number decreases by 5.
- Next two numbers: \( 43 - 5 = 38 \) and \( 38 - 5 = 33 \).
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Answer: 38, 33
5.
Sequence: 75, 67, 59, 51, 43, 35, 27, ______, ______
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Pattern Rule: Each number decreases by 8.
- Next two numbers: \( 27 - 8 = 19 \) and \( 19 - 8 = 11 \).
-
Answer: 19, 11
6.
Sequence: 85, 79, 73, 67, 61, 55, 49, ______, ______
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Pattern Rule: Each number decreases by 6.
- Next two numbers: \( 49 - 6 = 43 \) and \( 43 - 6 = 37 \).
-
Answer: 43, 37
7.
Sequence: 81, 79, 77, 75, 73, 71, 69, ______, ______
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Pattern Rule: Each number decreases by 2.
- Next two numbers: \( 69 - 2 = 67 \) and \( 67 - 2 = 65 \).
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Answer: 67, 65
8.
Sequence: 90, 84, 78, 72, 66, 60, 54, ______, ______
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Pattern Rule: Each number decreases by 6.
- Next two numbers: \( 54 - 6 = 48 \) and \( 48 - 6 = 42 \).
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Answer: 48, 42
9.
Sequence: 60, 55, 50, 45, 40, 35, 30, ______, ______
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Pattern Rule: Each number decreases by 5.
- Next two numbers: \( 30 - 5 = 25 \) and \( 25 - 5 = 20 \).
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Answer: 25, 20
10.
Sequence: 81, 73, 65, 57, 49, 41, 33, ______, ______
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Pattern Rule: Each number decreases by 8.
- Next two numbers: \( 33 - 8 = 25 \) and \( 25 - 8 = 17 \).
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Answer: 25, 17
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Final Answers:
1.
28, 24
2.
85, 94
3.
55, 60
4.
38, 33
5.
19, 11
6.
43, 37
7.
67, 65
8.
48, 42
9.
25, 20
10.
25, 17
Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
1. \text{28, 24} \\
2. \text{85, 94} \\
3. \text{55, 60} \\
4. \text{38, 33} \\
5. \text{19, 11} \\
6. \text{43, 37} \\
7. \text{67, 65} \\
8. \text{48, 42} \\
9. \text{25, 20} \\
10. \text{25, 17}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of pattern worksheet grade 7.
