Question

Complete the series: \(285,\,253,\,221,\,189,\,?\)

• A. \(165\)
• B. \(157\)
• C. \(149\)
• D. \(161\)

Hint:

In many number series questions, first check if the sequence follows an arithmetic pattern. If the difference between terms is constant, simply add or subtract that value to get the next term.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
This is a number series problem where each subsequent term is derived by following a specific mathematical pattern or a constant difference.
Step 2: Key Formula or Approach:
To find the pattern, we calculate the difference between consecutive terms in the series.
Step 3: Detailed Explanation:
Let's find the difference between the terms: \[ 285 - 253 = 32 \] \[ 253 - 221 = 32 \] \[ 221 - 189 = 32 \] The series follows a pattern of subtracting 32 from the previous term. To find the next term: \[ 189 - 32 = 157 \]
Step 4: Final Answer:
The next number in the series is 157.