FIND THE SUM OF ALL NATURAL NUMBERS BETWEEN 100 AND 1000 WHICH ARE MULTIPLES OF 5 OR 2?

Asked by  | 5th Jul, 2008, 11:43: AM

Expert Answer:

to get the sum of all the numbers between 100 to 1000 which are multiples of 2 and 5 we need to make 2 sequences to find their sum as follows :

100 + 102 + 104 + 106 ------------ 1000 and

105 + 115 + 125 + 135 ------------ 995

sum of 1st sequence = 1000/2 [2*100+(1000-1)2] =1099000

sum of the 2nd sequence = 995/2 [2*105 + (995-1)10] = 5049625

total sum = 6148625

Answered by  | 5th Jul, 2008, 11:35: PM

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