Maths · Functions
Cube of odd natural number is number
Cube of odd natural number is number
- A. odd
- B. even
- C. negative
- D. prime
Step-by-step solution
An odd natural number can be expressed as 2k+1 (k ≥ 0). Its cube is (2k+1)^3 = 8k^3 + 12k^2 + 6k + 1 = 2(4k^3 + 6k^2 + 3k) + 1, which is of the form 2m+1, hence odd.
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