Multiple choice

Write the next term in the series given below. 3, 15, 35, 63, 99, ___

  1. 134

  2. 143

  3. 120

  4. 168
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The series follows the pattern n^2 - 1 for n = 2, 4, 6, 8, 10. Specifically: 2^2-1=3, 4^2-1=15, 6^2-1=35, 8^2-1=63, 10^2-1=99. The next term is 12^2-1 = 143.

AI explanation

The series follows the pattern of the difference between the squares of consecutive odd integers. The terms can be written as 2 squared minus 1 squared equals 3, 4 squared minus 1 squared equals 15, 6 squared minus 1 squared equals 35, 8 squared minus 1 squared equals 63, and 10 squared minus 1 squared equals 99. The next term is 12 squared minus 1 squared, which equals 144 - 1 = 143.

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