What's the sum of all 3 digit numbers that are a multiple...

KingAce

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What's the sum of all 3 digit numbers that are a multiple of 3?

Please help! I've been trying for 15 minutes to get the answer, but am having a rly hard time doing so!
 
Hello, KingAce!

What's the sum of all 3-digit numbers that are a multiple of 3?

\(\displaystyle \text{You want: }\:S \;=\;102 + 105 + 108 + \hdots + 999\)


\(\displaystyle \text{This is an arithmetic series with first term }a = 102\),

. . \(\displaystyle \text{common difference }d=3\text{, and }n = 300\text{ terms.}\)


Got it?

 
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