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Find the sum of all positive integers less than 1000 ending in 3 or 4 or 5.

 Aug 13, 2024
 #1
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First, let's note that

3+4+5=34

13+14+15=314

 

This pattern will keep going. Thus, we just have

3[4+14+24+.......+994]

 

No. of terms =  100

 

Thus, our final answer is

3[994+4][100/2]=149,700

 

Thanks! :)

 Aug 13, 2024
edited by NotThatSmart  Aug 13, 2024

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