Multiple choice

Directions: Find the wrong term in the following series. 49, 49, 50, 54, 60, 79, 104

  1. 60

  2. 49

  3. 104

  4. 54
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A Correct answer
Explanation

Differences: 0, 1, 4, 6, 19, 25. The pattern of differences is squares (0^2, 1^2, 2^2, 3^2, 4^2, 5^2). 49+0=49, 49+1=50, 50+4=54, 54+9=63, 63+16=79, 79+25=104. The term 60 should be 63.

AI explanation

We analyze the series using the successive differences method. The differences between the terms are 0, 1, 4, 6, 19, 25, and the correct pattern should be squares of consecutive prime numbers: 0, 1, 4, 9, 16, 25. If we add 9 to 54, the term should be 63, and adding 16 to 63 correctly gives 79. Therefore, the term 60 is the wrong number in the series, and the result is 60.

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