Problem Description:
The task involves filling in the missing numbers in a sequence of heart-shaped cards. The left side of the image shows an example with completed sequences, while the right side shows incomplete sequences where some numbers are missing. The goal is to identify the pattern and fill in the missing numbers.
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Step-by-Step Solution:
####
1. Analyze the Example (Left Side):
The left side provides a completed sequence as a reference. Let's examine it closely:
-
First Row:
Numbers: 2, 4, 6, 8, 10
Pattern: Each number increases by
2.
-
Second Row:
Numbers: 11, 13, 15, 17, 19
Pattern: Each number increases by
2.
-
Third Row:
Numbers: 21, 23, 25, 27, 29
Pattern: Each number increases by
2.
-
Fourth Row:
Numbers: 31, 33, 35, 37, 39
Pattern: Each number increases by
2.
-
Fifth Row:
Numbers: 41, 42, 44, 46, 48, 50
Pattern: Each number increases by
2, except for the jump from 41 to 42, which is an anomaly (likely a typo or intentional variation).
From this, we observe that the general pattern is an
increment of 2 between consecutive numbers.
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####
2. Solve the Missing Numbers (Right Side):
Now, let's apply the observed pattern to the incomplete sequences on the right side.
#####
First Row:
Numbers: 2, _, 4, _, 6, 8, _
Pattern: Increment by
2.
- Missing number after 2: \(2 + 2 = 4\) (already present).
- Missing number after 4: \(4 + 2 = 6\) (already present).
- Missing number after 8: \(8 + 2 = 10\).
Completed row: 2, 4, 4, 6, 6, 8, 10.
#####
Second Row:
Numbers: 11, _, 13, _, 14, _, 17, 19
Pattern: Increment by
2.
- Missing number after 11: \(11 + 2 = 13\) (already present).
- Missing number after 13: \(13 + 2 = 15\).
- Missing number after 14: \(14 + 2 = 16\).
Completed row: 11, 13, 13, 15, 14, 16, 17, 19.
#####
Third Row:
Numbers: 21, 23, _, 25, _, 27, 29
Pattern: Increment by
2.
- Missing number after 23: \(23 + 2 = 25\) (already present).
- Missing number after 25: \(25 + 2 = 27\) (already present).
Completed row: 21, 23, 25, 25, 27, 27, 29.
#####
Fourth Row:
Numbers: 31, _, 33, _, 35, _, 37, 39
Pattern: Increment by
2.
- Missing number after 31: \(31 + 2 = 33\) (already present).
- Missing number after 33: \(33 + 2 = 35\) (already present).
- Missing number after 35: \(35 + 2 = 37\) (already present).
Completed row: 31, 33, 33, 35, 35, 37, 37, 39.
#####
Fifth Row:
Numbers: 41, 42, _, 44, _, 46, 48, 50
Pattern: Increment by
2.
- Missing number after 42: \(42 + 2 = 44\) (already present).
- Missing number after 44: \(44 + 2 = 46\) (already present).
Completed row: 41, 42, 44, 44, 46, 46, 48, 50.
---
Final Answer:
The completed sequences are:
1. 2, 4, 4, 6, 6, 8, 10
2. 11, 13, 13, 15, 14, 16, 17, 19
3. 21, 23, 25, 25, 27, 27, 29
4. 31, 33, 33, 35, 35, 37, 37, 39
5. 41, 42, 44, 44, 46, 46, 48, 50
$$
\boxed{4, 6, 10, 15, 16, 25, 27, 33, 35, 37, 44, 46}
$$
Parent Tip: Review the logic above to help your child master the concept of missing numbers 1 50 worksheet.
