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

 Jul 24, 2024

Best Answer 

 #1
avatar+1908 
+1

First, let's note that
\(3 + 4 + 5 =  3 *4 \)

\(13 + 14 + 15 = 3 * 14\)

 

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! :)

 Jul 24, 2024
edited by NotThatSmart  Jul 24, 2024
 #1
avatar+1908 
+1
Best Answer

First, let's note that
\(3 + 4 + 5 =  3 *4 \)

\(13 + 14 + 15 = 3 * 14\)

 

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! :)

NotThatSmart Jul 24, 2024
edited by NotThatSmart  Jul 24, 2024

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