Question

Find the missing number:
5, 10, 17, 26, 37, ...........

• A. 46
• B. 49
• C. 48
• D. 50

Hint:

In number series problems, identify the pattern in the differences between consecutive numbers. If the differences follow a consistent pattern, continue the pattern to find the missing number.

Answer 1

The Correct Option is D

Let's analyze the differences between the consecutive numbers:
- 10 - 5 = 5
- 17 - 10 = 7
- 26 - 17 = 9
- 37 - 26 = 11
The differences are increasing by 2 each time: 5, 7, 9, 11.
So, the next difference should be 13:
\[ 37 + 13 = 50 \] Thus, the missing number is \( 50 \). Therefore, the correct answer is \( \boxed{50} \).