Question:medium

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

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Check whether the difference between consecutive terms stays exactly the same throughout the series, using more than one pair of terms to be sure. If it does, this is an arithmetic progression, and the nth-term formula can give you any term directly instead of subtracting step by step.
Updated On: Aug 17, 2026
  • \(165\)
  • \(157\)
  • \(169\)
  • \(145\)
Show Solution

The Correct Option is B

Solution and Explanation

Step 1: Understanding the Question:
The problem is a numerical sequence where we need to identify the pattern of change between consecutive terms to find the next value.
Step 2: Detailed Explanation:
Let's find the difference between consecutive terms in the series:
\[ 285 - 253 = 32 \]
\[ 253 - 221 = 32 \]
\[ 221 - 189 = 32 \]
We observe a constant decrease of 32 between each term. This is an Arithmetic Progression (AP).
To find the next term, subtract 32 from the last given term:
\[ 189 - 32 = 157 \]
Step 3: Final Answer:
The missing number in the series is \( 157 \).
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