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42 votes
42 votes
Find the sum of all the natural numbers from 1 and 400, inclusive, that are not divisible by 11.

User Grayasm
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1 Answer

8 votes
8 votes

Answer: 72874

Explanation:

To solve this, you can first find the sum of all numbers from 1 to 400. Using the formula for arithmetic series, you can get 1+2+3+4...+400=80200. Then, you can subtract all multiples of 11 from 1 to 400. That is 11+22+33+44+...+396. Dividing all numbers by 11, we have the new arithmetic series 1+2+3+4..+36, which using the formula, equals 666. Multiply this by 11 to get 7326 and subtract from 80200 to get 72874.

User AMother
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