Find the sum of all divisible numbers between 1000 and 2000.
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Answer:
1200000
Step-by-step explanation:
The sum of all numbers between 1000 and 2000 that are divisible by 5 can be written as 1000+1005+⋯+1995+2000=5×200+5×201+⋯+5×400=5×(200+201+⋯+400)=5400∑i=200i=5×(200+400)×(400−200+1)2=5×600×2012=301500. Hence, the desired sum is 1501500−301500=1200000.
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