Multiple choice

Find the wrong term in sequence : 76, 89, 115, 167, 271, 489

  1. 115

  2. 167

  3. 271

  4. 489
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D Correct answer
Explanation

The differences between consecutive terms are: 13, 26, 52, 104, 218. The pattern of differences should be 13, 26, 52, 104, 208. The last term 489 is incorrect; it should be 271 + 208 = 479.

AI explanation

Analyzing the sequence 76, 89, 115, 167, 271, 489, the differences between consecutive terms are 13, 26, 52, 104, and 218. The pattern of differences clearly follows a geometric progression where each difference is multiplied by 2 (13, 26, 52, 104). Since the last difference should be $104 \times 2 = 208$, the final term should be $271 + 208 = 479$. Because 489 breaks this established pattern, it is the wrong term.

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