Multiple choice

In the following number series, one term does not fit into the series. Find the wrong term. 4, 18, 38, 100, 180, 294, 448

  1. $18$
  2. $38$
  3. $100$
  4. $180$
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B Correct answer
Explanation

The series follows the pattern: 4, 4*2+10=18, 18*2+2=38, 38*2+24=100. The pattern is inconsistent. Alternatively, looking at differences: 14, 20, 62, 80, 114, 154. The term 38 is the outlier in the growth pattern.

AI explanation

The pattern in the series follows the formula of twice a square plus a steadily increasing even number. The first term is 2(1^2) + 2 = 4, while the second term should be 2(2^2) + 4 = 12. The third term should be 2(3^2) + 6 = 24, the fourth is 2(4^2) + 8 = 40, and the sequence continues to 448. Since the third term is given as 38 instead of 24, it is the incorrect term in the sequence. The result is 38.

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