Question

Find the Missing Number:
6, 12, 20, 30, 42, ..........

• A. 50
• B. 48
• C. 54
• D. 56

Hint:

When solving sequence problems, observe 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 pattern in the sequence:
- From 6 to 12, the difference is 6.
- From 12 to 20, the difference is 8.
- From 20 to 30, the difference is 10.
- From 30 to 42, the difference is 12.
The differences between consecutive numbers are increasing by 2 each time: 6, 8, 10, 12.
Following the same pattern, the next difference should be 14: \[ 42 + 14 = 56 \] Thus, the missing number is \( \boxed{56} \).
Therefore, the correct answer is \( \boxed{4} \).