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Sum(not div by 7) = Sum(all) - Sum(div by 7)

Now the sum of an AP is

Sn = n/2 (first + last)

where n is the number of terms

Sum(All) = 10000/2 (1 + 10000) = 50005000

Sum(div by 7) = (9996/7)/2 (7 + 9996) = 1428/2 (10003) = 7142142

Sum(not div by 7) = Sum(all) - Sum(div by 7)

= 50005000 - 7142142

= 42 862 858

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โˆ™ 2010-07-19 02:13:02
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Q: Find the sum of all positive integers not greater than 10000 that are not divisible by 7?
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