Multiple choice general knowledge math & puzzles

9,25,49,121,169,289,361,?

  1. 441

  2. 529

  3. 484

  4. 576

  5. 625
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The sequence consists of the squares of consecutive prime numbers: 3^2=9, 5^2=25, 7^2=49, 11^2=121, 13^2=169, 17^2=289, 19^2=361. The next prime is 23, and 23^2 equals 529.

AI explanation

To identify the pattern and find the missing number in the sequence, let's examine the given numbers:

9, 25, 49, 121, 169, 289, 361, ?

Looking closely, we can see that all the numbers in the sequence are perfect squares. Specifically, they are the squares of the following numbers:

3^2 = 9 5^2 = 25 7^2 = 49 11^2 = 121 13^2 = 169 17^2 = 289 19^2 = 361

To find the missing number, we need to determine the next perfect square. The next number in the sequence should be the square of the next consecutive odd number.

The next odd number after 19 is 21. Thus, the missing number in the sequence is 21^2 = 441.

Therefore, the correct answer is A) 441.

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