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its 5035

the summarian notation tells you that

(sum of all #from 0 to a number'N'

(sum of all #from 0 to N) = (n)+(n-1)+(n-2)+(n-3)+...+(2) +(1) or

(sum of all #from 0 to N) = (1)+ (2) + (3) + (4)+...+(n-1)+(n)

the two different sums are aligned by columns. now add the two colunms accordingly and you'll get

2x(sum of all #from 0 to N)=(n+1)+(n+1)+...+(n+1) (n+1)is added n times

so

2x(sum of all #from 0 to N) =n(n+1)

(sum of all #from 0 to N) =n(n+1)/2

so (sum of 5 to 100) = (sum of 0 to 100)- (sum of 0 to 5)

=100(101)/2 - 5(6)/2 = 5050 - 15 = 5035

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Q: What is the sum of the whole numbers from 5 up to 100?
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