Question

Find the Missing Number:
273, 264, 239, ....., 109, -12

• A. 225
• B. 181
• C. 190
• D. 164

Hint:

When identifying patterns in number series, observe the changes in the differences between the terms. The next difference often follows a consistent progression.

Answer 1

The Correct Option is C

Let's analyze the pattern in the sequence:
- From 273 to 264, the difference is -9.
- From 264 to 239, the difference is -25.
The differences are increasing: -9, -25, ...
The next difference should follow the pattern. The difference between -9 and -25 is -16, so the next difference should be -41 (since the differences are increasing by 16 each time).
Thus, from 239: \[ 239 - 41 = 190 \] Therefore, the missing number is \( \boxed{190} \).