Question

Find the missing numbers in the series: 0, 2, 5, ? , 17 , 28 , ?

• A. 11, 31
• B. 31, 51
• C. 10, 41
• D. 21, 40

Answer 1

The Correct Option is C

The pattern in the series can be understood by observing the differences between successive numbers:

• 2 - 0 = 2 
• 5 - 2 = 3
• 17 - 5 = 12
• 28 - 17 = 11

The differences alternate between adding 2, 3, and 12. Following this pattern, we can find the missing numbers.

Step 1: The difference between 5 and the missing number is 5 (following the pattern of alternating differences). Thus, we have:

• 5 + 5 = 10

Step 2: The difference between 17 and the next missing number is 24. Therefore:

• 17 + 24 = 41

Final Answer: The missing numbers are 10 and 41.