A problem by kritarth lohomi

Level pending

with out actual adding find
1+3+5+7+9+13+15+17+19+21+23 if you add you cheat


The answer is 133.

Kritarth Lohomi by kritarth lohomi , 18, India

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2 solutions

Manojkumar P
Aug 1, 2014

(1+3+5+7+9+13+15+17+19+21+23)+11-11

(1+3+5+7+9+11+13+15+17+19+21+23)-11

sum of odd numbers= n 2 n^2

where n= ( f i r s t − t e r m + l a s t − t e r m ) 2 \frac{(first-term + last-term)}{2}

Here n= ( 1 + 23 ) 2 = 12 \frac{(1+23)}{2}=12

Sum= 1 2 2 − 11 = 133 12^2-11=133

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1+3+7+9+11+13+15+17+19+21+23=12*12=144 SO THE ANSWER= 144-11=133

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