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What is the units digit of the sum of all positive multiples of 6 smaller than \(600\)?

 Jan 22, 2022
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Sum==[F  +  L] / 2  x  N, where F==First term, L==Last term, N==Number of terms.

 

The smallest multiple of 6 ==6. The largest multiple of 6 under 600==594

[594 - 6] / 6 + 1 ==98 + 1 ==99 terms.

 

Sum==[6  +  594] / 2  x  99 ==29,700. So, the units digit==0.

 Jan 22, 2022

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