Identifying the Pattern in the Sequence

The given sequence is: 61, 57, 50, 61, 43, 36, 61, ___, ___.

At first glance, the sequence seems irregular because of the repeating number 61. This suggests that there are two or more independent series interleaved together. Let's separate them:

• Series 1: The numbers at the 1st, 4th, and 7th positions form a simple series:
  

  61, 61, 61, ...

  This is a constant series where the number is always 61. It appears at every third position.
• Series 2: The numbers at the 2nd, 3rd, 5th, and 6th positions form another series:
  

  57, 50, 43, 36, ...

Analyzing Series 2

Let's find the pattern in the second series by looking at the difference between consecutive terms:

• 57 - 7 = 50
• 50 - 7 = 43
• 43 - 7 = 36

This is a simple arithmetic progression where 7 is subtracted each time.

Calculating the Next Two Numbers

The next two missing numbers in the main sequence will be the next two terms from Series 2.

1. To find the first missing number, we subtract 7 from the last term of Series 2 (36):
   36 - 7 = 29
2. To find the second missing number, we subtract 7 from the new term (29):
   29 - 7 = 22

Conclusion

The complete sequence would continue as 61, 57, 50, 61, 43, 36, 61, 29, 22, 61, ...

Therefore, the next two numbers are 29, 22.