Complete the following series by choosing the correct options
837659, 837658, ____ ,837653, 837649, _____

Options

A. 837655, 837643
B. 837654, 837648
C. 837656, 837644
D. 837666, 837634

Answer

To solve the series 837659, 837658, ____, 837653, 837649, ____, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the Pattern**:
- The first two numbers are 837659 and 837658. The difference between them is 1 (837659 - 837658 = 1).
- The next number is unknown, followed by 837653. The difference between 837658 and 837653 is 5 (837658 - 837653 = 5).
- The next number is 837649. The difference between 837653 and 837649 is 4 (837653 - 837649 = 4).

2. **Determine the Differences**:
- The differences in the series can be summarized as:
- From 837659 to 837658: -1
- From 837658 to the unknown: ?
- From the unknown to 837653: ?
- From 837653 to 837649: -4
- We can see that the differences are decreasing: -1, ?, ?, -4.

3. **Assume the Unknowns**:
- Let’s assume the unknown number between 837658 and 837653 is 837654.
- The difference from 837658 to 837654 would be -4 (837658 - 837654 = 4).
- The difference from 837654 to 837653 would be -1 (837654 - 837653 = 1).

4. **Fill in the Blanks**:
- Now we can fill in the first blank with 837654.
- The next number after 837649 should follow the pattern. The difference from 837649 to the next number should be -5 (837649 - 5 = 837644).

5. **Final Series**:
- Therefore, the complete series is:
- 837659, 837658, 837654, 837653, 837649, 837644.

### Final Answer:
The correct options to fill in the blanks are:
- First blank: 837654
- Second blank: 837644