Problem Description:
The task is to fill in the missing numbers in a sequence of numbers arranged in a grid. The numbers provided are part of a counting sequence, and the goal is to identify the pattern and fill in the blanks.
Observations from the Image:
1. The numbers are arranged in a grid format.
2. The visible numbers are:
- First row: 82, 83, _, _
- Second row: 86, _, 89, 90
- Third row: 91, 92, _, 95
- Fourth row: _, _, 99, 100
3. The numbers appear to be increasing sequentially.
Step-by-Step Solution:
#### Step 1: Identify the Pattern
- From the first row, we see the numbers 82 and 83. This suggests an increment of
+1 between consecutive numbers.
- In the second row, the numbers 86, 89, and 90 suggest that the sequence might involve increments of
+3 or
+1 depending on the position.
- In the third row, the numbers 91, 92, and 95 suggest a similar pattern of
+1 and
+3.
#### Step 2: Fill in the Blanks
We will use the observed pattern to fill in the missing numbers.
##### First Row:
- The sequence starts with 82 and 83. The next number should be
84, and the one after that should be
85.
- First row: 82, 83,
84,
85
##### Second Row:
- The sequence starts with 86. The next number should be
87 (increment by +1), followed by 89 and 90.
- Second row: 86,
87, 89, 90
##### Third Row:
- The sequence starts with 91 and 92. The next number should be
93, and the one after that should be
95.
- Third row: 91, 92,
93, 95
##### Fourth Row:
- The sequence ends with 99 and 100. Working backward, the number before 99 should be
98, and the one before that should be
97.
- Fourth row:
97,
98, 99, 100
#### Step 3: Verify the Pattern
- The entire grid now looks like this:
```
82, 83, 84, 85
86, 87, 89, 90
91, 92, 93, 95
97, 98, 99, 100
```
- The pattern of increments (+1 or +3) is consistent across the rows.
Final Answer:
The missing numbers are:
- First row: 84, 85
- Second row: 87
- Third row: 93
- Fourth row: 97, 98
Thus, the completed grid is:
```
82, 83, 84, 85
86, 87, 89, 90
91, 92, 93, 95
97, 98, 99, 100
```
$$
\boxed{84, 85, 87, 93, 97, 98}
$$
Parent Tip: Review the logic above to help your child master the concept of missing number worksheet.
