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The sum of all numbers between 100 and 1000 which is divisible by 13, is​

The sum of all numbers between 100 and 1000 which is divisible by 13, is​
asked 199k views
3 votes
The sum of all numbers between 100 and
1000 which is divisible by 13, is​

asked
User Vikram S
by
9.0k points

1 Answer

3 votes

Answer:

37674

Explanation:

Note that the numbers form an arithmetic sequence


100/13=7...9\\1000/13=76...12\\\therefore The\ sum \\=13*8+13* 9+13* 10+...+13* 76\\=13* (8+9+10+...+76)\\=13* ((8+76)*(76-7))/(2)\\=37674

answered
User Erthalion
by
8.2k points
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