Q.7 Without adding, find the sum.

(i) 1+3+5+7+9

(ii) 1+3+5+7+9+11+13+15+17+19

(iii) 1+3+5+7+9+11+13+15+17+19+21+23

Answers (1)

It is known that sum of odd cosecutive number starting from 1 is n^{2}.

(i) n = 5       i.e.,  5^{2} = 25

(ii) n = 10    i.e.,   10^{2} = 100

(iii) n = 12    i.e.,   12^{2} = 144

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