Find the Missing Numbers: 15, 22, 29, _, 43, 50, _, _

Given a series that is missing some terms.

15 , 22 , 29 , _ , 43 , 50 , _ , _

What is the missing set of numbers?

Let's solve the problem step-by-step:

• Step 1: Calculate the common difference
  The difference between 22 and 15 is $22 - 15 = 7$.
  The difference between 29 and 22 is $29 - 22 = 7$.
  The difference between 43 and the next term should be 7, therefore it needs confirmation.

• Step 2: Determine the pattern
  Since the differences between the consecutive terms (15, 22, 29) and (unknown, 43, 50) are consistent, the sequence has a common difference of 7.

• Step 3: Calculate the missing terms using the common difference
  - The term after 29 is $29 + 7 = 36$.
  - After 43, there must be 50, validating that $43 + 7 = 50$.
  - The term after 50 can be found by adding 7 again: $50 + 7 = 57$.
  - Add 7 once more to find the final missing term: $57 + 7 = 64$.

Therefore, the missing numbers in the sequence are 36, 57, and 64. These fill in the blanks and maintain the arithmetic progression.

The correct set of missing numbers is 36, 57, 64