Finding the Sum

Algebra Level 2

What is the sum of the first 19268 smallest positive odd numbers?


The answer is 371255824.

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2 solutions

Yatin Khanna
Oct 28, 2016

The sum of the first n n odd numbers is n 2 n^2 .
So, answer is 1926 8 2 19268^2 = 371255824 =\boxed {371255824}

It forms an arithmetic progression.

The number of terms is 19268 19268

The first term is 1 1

The last term is, 19268 2 19268*2 1 -1 = 38535 =38535

S = 19268 2 S = \frac{19268}{2} ( 1 + 38535 ) (1+38535) = = 371255824 371255824

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