The missing number in the series 1, 4, 27, blank, 3125 is

Solution:

Given sequence 1, 4, 27, blank, 3125

The first term is 1,

The second term is square of 2,

The third term is a cube of 3

The fifth term is 5^th power of 5

Hence, we can observe the pattern in the sequence as, natural numbers power of itself.

1, 4, 27, ____, 3125 = 1, 2², 3³, ____, 5⁵

Hence, the blank term is the 4^th power of 4

4⁴ is 256.

The missing number in the series 1, 4, 27, blank, 3125 is

Summary:

The missing number in the series 1, 4, 27, blank, 3125 is 256.