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Question

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?

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Solution

13

33

53

73

93

23

43

63

83

103

1

27

125

343

729

8

64

216

512

1000

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


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