This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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we will write the number that comes next in the given sequence
Here are the completed counting sequences:
Forward Counting Step 1: For the sequence , the next number in forward counting is . Step 2: For the sequence , the next number in forward counting is .
Backward Counting The instruction "Write the next number" applies to this section as well. Although the section is titled "Backward Counting", the given sequences are increasing, and the blank is at the end. Therefore, we will write the number that comes next in the given sequence. Step 3: For the sequence , the next number is . Step 4: For the sequence , the next number is $5
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Forward Counting Step 1: For the sequence 1, 2,, the next number in forward counting is 3.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.