Multiple choice

Find the next term in the given series. 1, 1, 2, 4, 3, 9, 4, …

  1. 5

  2. 16

  3. 6

  4. 15
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The series is 1, 1, 2, 4, 3, 9, 4, ... This is an interleaved series. The odd positions are 1, 2, 3, 4. The even positions are 1^2, 2^2, 3^2, 4^2. The next term is 4^2 = 16.

AI explanation

The given series is formed by interleaving two separate sequences. The terms at the odd positions form the sequence 1, 2, 3, 4, so the next odd position will hold 5. The terms at the even positions are the squares of the preceding odd numbers, as seen by 1^2 = 1, 2^2 = 4, and 3^2 = 9, so the next term is 4^2 = 16.

Keep practicing — related questions