Multiple choice

Directions: Choose the correct alternative from the given options to complete the series. 5, 9, 25, 61, 125, 225, __

  1. 379

  2. 372

  3. 369

  4. 346

  5. 325
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The differences are: 9-5=4 (2^2), 25-9=16 (4^2), 61-25=36 (6^2), 125-61=64 (8^2), 225-125=100 (10^2). The next difference should be 12^2 = 144. 225 + 144 = 369.

AI explanation

Analyze the differences between the consecutive terms. The differences are 4, 16, 36, 64, and 100, which are the squares of the even numbers 2, 4, 6, 8, and 10. The next difference must be the square of 12, which is 144. Adding 144 to the last term of the series gives 225 + 144 = 369.

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