Question

complete the series-1,4,27,16,125,36?

Answer 1

Cube of 1^3 =1

Square of 2^2=4

Cube of 3^3=27

And so on

Cube of 7^3=343

Answer 2

1, 4, 27, 16, 125, 36, 343, 64....

Step-by-step explanation:

Given series = 1, 4, 27, 16, 125, 36....

This series can also be understood as 1^3, 2^2, 3^3, 4^2, 5^3, 6^2....

So it is odd cubes and even squares in a series.

Now, let's expand the series beyond 36. The next number in the series should be 7^3 and then 8^2 and so on.

7^3 = 343

8^2 = 64

So the series can be expanded as  1, 4, 27, 16, 125, 36, 343, 64....