1.

Without adding, find the sum (1+3+5+7+9+11+13+15+17+19+21+23).

Answer»

Given (1+3+5+7+9+11+13+15+17+19+21+23) According to the property of perfect square, for any natural number n, we have the sum of first n odd natural numbers =nBut here n = 12 Applying the above law we get

Therefore (1+3+5+7+9+11+13+15+17+19+21+23) = 12= 144



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