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# What is the sum of the first 40 positive odd integers?

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What is the sum of the first 40 positive odd integers?

Dec 5, 2018

#1
+5651
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$$\sum \limits_{k=1}^{40}~2k-1 = \\ \left(2\sum \limits_{k=1}^{40}~k\right) - 40 = \\ 40\cdot 41-40 = 40^2 = 1600$$

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Dec 5, 2018
edited by Rom  Dec 5, 2018
#2
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The sum of the first N odd numbers is simply N^2 =40^2 =1,600

Dec 6, 2018