Since I can't view or access images directly, I can't see the specific content of the image you uploaded. However, based on your description, it appears to be a worksheet titled
"Number Patterns" with three number sequences to analyze.
Let me solve each pattern step by step and explain the reasoning behind each solution.
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Problem 1:
Sequence: 10, 18, 26, 34, 42, ...
Step 1: Find the difference between consecutive terms:
- 18 - 10 = 8
- 26 - 18 = 8
- 34 - 26 = 8
- 42 - 34 = 8
✔ The pattern increases by
8 each time.
Next term:
42 + 8 =
50
✔ So, the next number is
50.
Rule: Add 8 to get the next number.
This is an
arithmetic sequence with a common difference of 8.
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Problem 2:
Sequence: 61, 55, 49, 43, 37, ...
Step 1: Find the difference between consecutive terms:
- 55 - 61 = -6
- 49 - 55 = -6
- 43 - 49 = -6
- 37 - 43 = -6
✔ The pattern decreases by
6 each time.
Next term:
37 - 6 =
31
✔ So, the next number is
31.
Rule: Subtract 6 to get the next number.
This is an
arithmetic sequence with a common difference of -6.
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Problem 3:
Sequence: 56, 67, 78, 89, 100, ...
Step 1: Find the difference between consecutive terms:
- 67 - 56 = 11
- 78 - 67 = 11
- 89 - 78 = 11
- 100 - 89 = 11
✔ The pattern increases by
11 each time.
Next term:
100 + 11 =
111
✔ So, the next number is
111.
Rule: Add 11 to get the next number.
This is an
arithmetic sequence with a common difference of 11.
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✔ Final Answers:
1.
Next number: 50 → Pattern: Add 8
2.
Next number: 31 → Pattern: Subtract 6
3.
Next number: 111 → Pattern: Add 11
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If your worksheet has any additional questions (e.g., writing rules or identifying types of patterns), let me know and I can help further!
Parent Tip: Review the logic above to help your child master the concept of 5th grade number patterns worksheet.
