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

 Mar 28, 2024
 #1
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Note  

3 + 4 + 5 =  3 *4

13 + 14 + 15 = 3 * 14......  etc.

 

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

 

No. of terms =  100

 

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

 

cool cool cool

 Mar 28, 2024

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