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

Concept: In number series problems, we often check the difference between consecutive terms. If the difference remains constant, the sequence forms an Arithmetic Progression (A.P.).

Step 1: Find the difference between consecutive terms. \[ 253 - 285 = -32 \] \[ 221 - 253 = -32 \] \[ 189 - 221 = -32 \] Thus, the sequence follows an arithmetic pattern with common difference \[ d = -32 \]

Step 2: Find the next term. \[ 189 - 32 = 157 \]

Step 3: Write the next number in the series. \[ \boxed{157} \]