How to find cube

Method of successive subtraction to find the cube root:

1) We Subtract the numbers 1, 7 ,19 ,37, 61, 91,… successively from the given number untill we get zero.

2) The count of subtractions will give the cube root of the number.

3) The n^th term of sequence 1, 7, 19, 37, 61, 91,… is

a_n = 1 + 3n(n – 1)

Example:

Take 64

64 – 1 = 63

63 – 7 = 56

56 – 19 = 37

37 – 37 = 4

As, subtraction is done four times, cube root of 64 is 4.