Multiple choice

The subsequent terms in all the given three number series should follow the pattern "1 more than the square of consecutive even numbers". A. 50, 55, 72, 109, 174, 275 B. 200, 205, 222, 259, 324, 425 C. 100, 105, 122, 159, 224, 324 Which of the following series does not follow the pattern?

  1. Only C

  2. Only B

  3. Both A and B

  4. Both B and C

  5. All of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Pattern: n^2 + 1 for even n (2, 4, 6, 8, 10, 12). 2^2+1=5, 4^2+1=17, 6^2+1=37, 8^2+1=65, 10^2+1=101, 12^2+1=145. Series A: 50, 55, 72, 109, 174, 275. Differences: 5, 17, 37, 65, 101. This matches. Series B: 200, 205, 222, 259, 324, 425. Differences: 5, 17, 37, 65, 101. This matches. Series C: 100, 105, 122, 159, 224, 324. Differences: 5, 17, 37, 65, 100. The last difference is 100, not 101.

AI explanation

The requested pattern is formed by adding 1 to the squares of consecutive even numbers, resulting in the sequence 5, 17, 37, 65, 101, 145. Testing series A, the differences between consecutive terms are 5, 17, 37, 65, and 101, which perfectly matches the pattern. Testing series B, the differences between consecutive terms are 5, 17, 37, 65, and 101, which also matches the pattern. Testing series C, the differences between terms are 5, 17, 37, 65, and 100, which fails to match the pattern at the last step. Therefore, only series C does not follow the pattern.

Keep practicing — related questions