Find the cubes of the first five odd natural numbers and the cubes of

1.	Find the cubes of the first five odd natural numbers and the cubes of the first five even natural numbers. What can you say about, the parity of the odd cubes and even cubes?
Answer» 1³ = 1 × 1 × 1 = 1 2³ = 2 × 2 × 2 = 8 3³ = 3 × 3 × 3 = 27 4³ = 4 × 4 × 4 = 64 5³ = 5 × 5 × 5=125 6³ = 6 × 6 × 6 = 216 7³ = 7 × 7 × 7 = 343 8³= 8 × 8 × 8 = 512 9³ = 9 × 9 × 9 = 729 10³ = 10 × 10 × 10= 1000 The cube of an odd number is odd and the cube of an even number is even.

Find the cubes of the first five odd natural numbers and the cubes of the first five even natural numbers. What can you say about, the parity of the odd cubes and even cubes?

Answer»

1³ = 1 × 1 × 1 = 1

2³ = 2 × 2 × 2 = 8

3³ = 3 × 3 × 3 = 27

4³ = 4 × 4 × 4 = 64

5³ = 5 × 5 × 5=125

6³ = 6 × 6 × 6 = 216

7³ = 7 × 7 × 7 = 343

8³= 8 × 8 × 8 = 512

9³ = 9 × 9 × 9 = 729

10³ = 10 × 10 × 10= 1000

The cube of an odd number is odd and the cube of an even number is even.