Question

Find the cube root of the following number by successive subtraction of number 1,7,19,37.......:​

Answer 1

cube root is 6

Explanation:

1. Start with the given number N.

2. Subtract the first number in the sequence (1) from N.

3. If the result is still positive, subtract the next number in the sequence (7), and so on.

4. Continue this process until the result is close to zero.

For example

Let's say

N = 216 (which is 6^3)

216 − 1 = 215

215 − 7 = 208

208 − 19 = 189

189 − 37 = 152

Continue this process until you get a result close to zero. In this case, the cube root of 216 is 6.