To solve the problem of finding the missing numbers in the sequences, we need to identify the pattern or rule governing each sequence. Let's analyze each row step by step.
---
Row 1:
```
18 → □ → 20 → 21 → □
```
- The sequence starts at 18.
- The next number is 20, which is an increase of
+2.
- The next number is 21, which is an increase of
+1.
- This suggests an alternating pattern of
+2, +1.
Using this pattern:
1. From 18: \( 18 + 2 = 20 \) (already given).
2. From 20: \( 20 + 1 = 21 \) (already given).
3. From 21: \( 21 + 2 = 23 \).
4. From 23: \( 23 + 1 = 24 \).
So, the completed row is:
```
18 → 20 → 20 → 21 → 23 → 24
```
---
Row 2:
```
□ → 26 → 27 → □ → 29
```
- The sequence has a gap at the start and middle.
- From 26 to 27, the increase is
+1.
- From 27 to 29, the increase is
+2.
- This suggests an alternating pattern of
+1, +2.
Using this pattern:
1. From 26: \( 26 - 1 = 25 \) (to find the missing number before 26).
2. From 27: \( 27 + 2 = 29 \) (already given).
3. From 29: \( 29 - 2 = 27 \) (to find the missing number before 29).
So, the completed row is:
```
25 → 26 → 27 → 28 → 29
```
---
Row 3:
```
29 → □ → 31 → □ → 33
```
- The sequence starts at 29.
- From 29 to 31, the increase is
+2.
- From 31 to 33, the increase is
+2.
- This suggests a consistent pattern of
+2.
Using this pattern:
1. From 29: \( 29 + 2 = 31 \) (already given).
2. From 31: \( 31 + 2 = 33 \) (already given).
3. The missing numbers are \( 30 \) and \( 32 \).
So, the completed row is:
```
29 → 30 → 31 → 32 → 33
```
---
Row 4:
```
28 → 29 → □ → 31 → □
```
- The sequence starts at 28.
- From 28 to 29, the increase is
+1.
- From 29 to 31, the increase is
+2.
- This suggests an alternating pattern of
+1, +2.
Using this pattern:
1. From 29: \( 29 + 2 = 31 \) (already given).
2. From 31: \( 31 + 1 = 32 \).
3. The missing numbers are \( 30 \) and \( 32 \).
So, the completed row is:
```
28 → 29 → 30 → 31 → 32
```
---
Row 5:
```
27 → □ → 29 → 30 → □
```
- The sequence starts at 27.
- From 27 to 29, the increase is
+2.
- From 29 to 30, the increase is
+1.
- This suggests an alternating pattern of
+2, +1.
Using this pattern:
1. From 27: \( 27 + 2 = 29 \) (already given).
2. From 29: \( 29 + 1 = 30 \) (already given).
3. From 30: \( 30 + 2 = 32 \).
4. The missing numbers are \( 28 \) and \( 32 \).
So, the completed row is:
```
27 → 28 → 29 → 30 → 32
```
---
Final Answer:
Putting all the rows together, the completed worksheet is:
```
18 → 20 → 20 → 21 → 23 → 24
25 → 26 → 27 → 28 → 29
29 → 30 → 31 → 32 → 33
28 → 29 → 30 → 31 → 32
27 → 28 → 29 → 30 → 32
```
Thus, the missing numbers are:
\[
\boxed{20, 23, 24, 25, 28, 30, 32, 30, 32, 28, 32}
\]
Parent Tip: Review the logic above to help your child master the concept of missing number worksheet for first grade.
