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?

Video Solution

Solution Steps

00:00 Find the missing terms

00:04 Find the difference between each consecutive term

00:12 This is the pattern of the sequence

00:17 Calculate the missing terms according to the pattern we found

00:25 When going in this direction, we need to add 7 from the known term

00:36 Calculate the missing terms

00:44 Use the same method

00:52 And this is the solution to the question

Step-by-Step Solution

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