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# help math

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What is the sum of all the odd integers between 300 and $$600$$?

Feb 5, 2022

#1
+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
+675
+2

Between 300 and 600 - 150 odd integers.

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

Feb 6, 2022