The Missing Number in the Series 1, 4, 27, ___, 3125 is?

To find the missing number in the series 1, 4, 27, ___, 3125, we need to look for a pattern in the numbers given.

Let’s break down the numbers:

• 1 = 1³
• 4 = 2³
• 27 = 3³
• 3125 = 5⁵

The first three numbers can be regarded as cubes of integers:

• 1 is the cube of 1 (1³)
• 4 is the cube of 2 (2³, but this isn’t correct, it’s 2 squared, sorry for the confusion)
• 27 is the cube of 3 (3³)

Realizing this, we can see that the missing number should be the cube of 4, which is:

• 4³ = 64

Now let’s check the last number:

• 5⁵ = 3125

Thus, it seems like the series is a mix of cubes of integers: 1³, 2³, 3³, 4³, and then goes to 5⁵. So, the missing number is 64.

Answer: 64