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The sum of all natural numbers 0+2+2+3+4+5+6+7+8+9... = -1/12
The answer is: -2, -1, 0, 1 as (-2)+(-1)+0+1 = -2
The numbers are -2, -1, 0, 1 and 2.
its 5035the 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 get2x(sum of all #from 0 to N)=(n+1)+(n+1)+...+(n+1) (n+1)is added n timesso2x(sum of all #from 0 to N) =n(n+1)(sum of all #from 0 to N) =n(n+1)/2so (sum of 5 to 100) = (sum of 0 to 100)- (sum of 0 to 5)=100(101)/2 - 5(6)/2 = 5050 - 15 = 5035
-2, -1, 0, 1
The integers are -4, -3, -2, -1, 0, 1, 2, 3, 4 and 5. The largest is five.
Do this in reverse. The sum of -1 and -1 is -1+-1=-2 The difference of -6 and -6 is -6-(-6)=-6+6=0 0 increased by -2 is 0+-2=-2 The sum of 10 and -2 is 10+-2=8 Translation: 8
2+(-2) =0
The sum of all natural numbers 0+2+2+3+4+5+6+7+8+9... = -1/12
The answer is: -2, -1, 0, 1 as (-2)+(-1)+0+1 = -2
The numbers are -2, -1, 0, 1 and 2.
:−3+0+1+2 = 0 :−3*0*1*2 = 0
its 5035the 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 get2x(sum of all #from 0 to N)=(n+1)+(n+1)+...+(n+1) (n+1)is added n timesso2x(sum of all #from 0 to N) =n(n+1)(sum of all #from 0 to N) =n(n+1)/2so (sum of 5 to 100) = (sum of 0 to 100)- (sum of 0 to 5)=100(101)/2 - 5(6)/2 = 5050 - 15 = 5035
4*4 = 16 (4+4 = 8)3*5 = 15 (3+5 = 8)2*6 = 12 (2+6 = 8)1*7 = 7 (1+7 = 8)0*8 = 0 (0+8 = 8)So 4 and 4 produce the largest product and still have the sum of 8.Assumptions:only integers,that this can be extrapolated (-1*9 < 0*8 etc)
-2, -1, 0, 1
2,2,0,5,1,4,1,3,0,0,1,4,4,0,1,4,3,4,2,1,0
{-1, 0, 1} {-2, -1, 0, 1, 2} {-3, -2, -1, 0, 1, 2, 3} and so on form one family of such numbers.