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What is the sum of all the odd integers between 300 and \(600\)?

 Feb 5, 2022
 #1
avatar+1382 
+2

The smallest odd integer is \(301\), and the largest one is \(599\). There are \(150\)numbers in this series, so the sum is \(150 \times 450 = \color{brown}\boxed{67,500}\)

 Feb 5, 2022
 #2
avatar+675 
+2

Between 300 and 600 - 150 odd integers.

 

\( \displaystyle\sum_{n=1}^{150} \mbox{ } ( 2n + 299 ) = 67500\), as BB said.

 Feb 6, 2022

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