Express 81 as the sum of 9 odd numbers.
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1+3+5+7+9+11+13+15+17
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Answer:
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Step-by-step explanation:
Given,
81 can be written as 9^2
According to the property of perfect square, for any natural number n, we have sum of first n odd natural numbers = n^2
Expressing 81 as a sum of 9 odd numbers, we get
81 = (9)^2
Here, n = 9
By applying the law, 81 = (1+3+5+7+9+11+13+15+17)
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