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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It is instructive to note that you can rewrite 1+2+3+4....+99+100 as 1+100+2+99+3+98....+50+51 Then you can group each pair of numbers as (1+100)+(2+99)+(3+98)+...+(50+51) All of these couplets add up to 101, and there are 50 of them. Thus the sum of the first 100 whole numbers is 50x101. This can be calculated at 5,050.
5050 i think
Add them up.
To find five numbers with a mean of 20, we can use the formula for mean: Mean = (sum of all numbers) / (total number of numbers). Since we have five numbers, the sum of the numbers should be 20 * 5 = 100. To find five numbers that add up to 100, we can choose any set of five numbers that sum up to 100, such as 10, 20, 30, 15, and 25.
3 pairs of whole numbers add up to 7: 1 +6, 2+5, 3+4 (0+7 also equals 7, but zero is not a whole number)