# What is the next number: 1, 4, 27, 16, 125, 36, __?

We have to find the pattern sequence followed by the numbers in the sequence 1, 4, 27, 16, 125, 36 to find the next number.

## Answer: The next number in the series given is 343.

Let us understand the problem with an explanation.

**Explanation:**

From the given series, we see that:

- 1 is the square and cube of 1
- 4 is the square of 2
- 27 is the cube of 3
- 16 is the square of 4
- 125 is the cube of 5
- 36 is the square of 6

Hence, the pattern is cubes and squares of alternate numbers in the series, that is, 1^{3}, 2^{2}, 3^{3}, 4^{2}, 5^{3}, 6^{2}.......

Therefore, the next number is 7^{3} = 343.