CBSE Class 9 Answered
Square of any ----natural can be expressed as the sum of two consecutive natural numbers
Asked by Nimmi | 05 May, 2020, 04:26: PM
Expert Answer
Square of any odd natural number can be expressed as the sum of two consecutive natural numbers.
Proof:-
Let 2n+1 is the odd natural number
(2n+1)2 = 4n2 + 4n + 1 = (2n2 + 2n) + (2n2 + 2n) + 1
Here (2n2 + 2n) and (2n2 + 2n)+1 are two consecutive numbers.
Hence proved.
Answered by Renu Varma | 06 May, 2020, 11:08: AM
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