Which numbers will replace the question marks (?) in the series: 4, ?, ?, 49, 121, 169, 289?

Question

Accepted Answer

Let's analyze the given series: 4, ?, ?, 49, 121, 169, 289.

Notice that 4 = 2^2, 49 = 7^2, 121 = 11^2, 169 = 13^2, 289 = 17^2. These are all perfect squares of prime numbers: 2, 7, 11, 13, 17.

Let's list the sequence of prime numbers: 2, 3, 5, 7, 11, 13, 17.

So, the series should be: 2^2, 3^2, 5^2, 7^2, 11^2, 13^2, 17^2 → 4, 9, 25, 49, 121, 169, 289.

Therefore, the missing numbers are 9 (3^2) and 25 (5^2).

So, the correct answer is option 2: 9, 25.

Answer

Answer

Answer