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amandaroo74 amandaroo74
  • 13-08-2014
  • Mathematics
Answered

What is the sum of the first 100 positive odd numbers?

Verified Answer :

Anonymous Anonymous
  • 14-08-2014

\(a_1=1;\ a_2=3;\ a_3=5;\ ...;\ a_{100}=199\\\\S_n=\frac{a_1+a_n}{2}\times n\\\\S_{100}=\frac{1+199}{2}\times100=200\times50=\boxed{10,000}\)

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