Question

write cubes of all natural number between 1 to 20 &verify the following statements
(1) cubes of all odd numbers are odd
(2)cubes of all even numbers are even​

Answer 1

Answer:

1^3 = 1

2^3 = 8

3^3 = 27

4^3 = 64

5^3 = 125

6^3 = 216

7^3 = 343

8^3 = 512

9^3 = 729

10^3 = 1000

11^3 = 1331

12^3 = 1728

13^3 = 2197

14^ 3 = 2744

15 ^3 = 3375

16 ^3 = 4096

17^3 = 4913

18 ^3 = 5832

19^3 = 6859

20^3 = 8000

Cubes of odd nos are odd and even nos are even

Eg; 11 (odd no) -> 11x11x11 = 1331 (odd no)

18 (even no) -> 18x18x18 = 5832 (even no)

Hope this helps

Answer 2

Answer:

${1}^{3} = 1$

${2}^{3} = 8$

${3}^{3} = 27$

${4}^{3} = 64$

${5}^{3} = 125$

${6}^{3} = 216$

${7}^{3} = 343$

${8}^{3} = 512$

${9}^{3} = 729$

${10}^{3} = 1000$

${11}^{3} = 1331$

${12}^{3} = 1728$

${13}^{3} = 2197$

${14}^{3} = 2744$

${15}^{3} = 3375$

${16}^{3} = 4096$

${17}^{3} = 4913$

${18}^{3} = 5832$

${19}^{3} = 6859$

${20}^{3} = 8000$

This implies cubes of odd numbers are odd

cubes of even numbers are even

HOPE THIS HELPS YOU