Which number would replace *in
46,*,39,34,28,21,13.

Options

A. 45
B. 44
C. 42
D. 43

Answer

To find the number that would replace the asterisk (*) in the sequence 46, *, 39, 34, 28, 21, 13, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the Sequence**: The sequence given is 46, *, 39, 34, 28, 21, 13. We need to find the missing number represented by *.

2. **Look for Differences**: We will look at the differences between the numbers in the sequence:
- From 13 to 21: 21 - 13 = 8
- From 21 to 28: 28 - 21 = 7
- From 28 to 34: 34 - 28 = 6
- From 34 to 39: 39 - 34 = 5

So far, we have the differences: 8, 7, 6, 5.

3. **Continue the Pattern**: The differences are decreasing by 1 each time. To find the difference before 8, we subtract 1 from 8:
- The difference before 8 would be 8 + 1 = 9.

4. **Calculate the Missing Number**: Now we can find the missing number (*):
- Since the difference before 39 is 4, we can calculate the missing number as follows:
- 39 + 4 = 43.

5. **Conclude the Missing Number**: Therefore, the number that would replace * is 43.

### Final Answer:
The number that replaces * is 43.

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