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 given series 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, 13, 22, 33, 42, 53, 62.......
Therefore, the next number is 73 = 343.