Question

aflati suma a patru nr intregi consecutive , stiind ca unul dintre ele este : a) -2 b) -5;c)1

Answer 1

a)-2, -1, 0, 1. Suma este -2.
b)-5, -4, -3, -2. Suma este -14.
c)1, 2, 3, 4. Suma este 10.

Answer 2

$a,b,c,d-nr.$

$a)1)pt. \: a = - 2$

$= > b = a + 1 = - 2 + 1 = - 1$

$= > c = b + 1 = - 1 + 1 = 0$

$= > d = c + 1 = 0+ 1 = 1$

$a + b + c + d = - 2 - 1 + 0 + 1 = - 2$

$2)pt. \: b = - 2$

$= > a = b - 1 = - 2 - 1 = - 3$

$= > c = b + 1 = - 2 + 1 = - 1$

$= > d = c + 1 = - 1 + 1 = 0$

$a + b + c + d = - 3 - 2 - 1 + 0 = - 6$

$3)pt. \: c = - 2$

$= > a = c - 2 = - 2 - 2 = - 4$

$=> b = a + 1 = - 4 + 1 = - 3$

$= > d = c + 1 = - 2 + 1 = - 1$

$a + b + c + d = - 4 - 3 - 2 - 1 = - 10$

$4)pt. \: d = - 2$

$= > a = d - 3 = - 2 - 3 = - 5$

$= > b = a + 1 = - 5 + 1 = - 4$

$= > c = b + 1 = - 4 + 1 = - 3$

$a + b + c + d = - 5 - 4 - 3 - 2 = - 14$

$b)1)pt. \: a = - 5$

$= > b = a + 1 = - 5 + 1 = - 4$

$= > c = b + 1 = - 4 + 1 = - 3$

$= > d = c + 1 = - 3 + 1 = - 2$

$a + b + c + d = - 5 - 4 - 3 - 2 = - 14$

$2)pt. \: b = - 5$

$= > a = b - 1 = - 5 - 1 = - 6$

$= > c = b + 1 = - 5 + 1 = - 4$

$= > d = c + 1 = - 4 + 1 = - 3$

$a + b + c + d = - 6 - 5 - 4 - 3 = - 18$

$3)pt. \: c = - 5$

$= > a = c - 2 = - 5 - 2 = - 7$

$= > b = a + 1 = - 7 + 1 = - 6$

$= > d = c + 1 = - 5 + 1 = - 4$

$a + b + c + d = - 7 - 6 - 5 - 4 = - 22$

$4)pt. \: d = - 5$

$= > a = d - 3 = - 5 - 3 = - 8$

$= > b = a + 1 = - 8 + 1 = - 7$

$= > c = b + 1 = - 7 + 1 = - 6$

$a + b + c + d = - 8 - 7 - 6 - 5 = - 26$

$c)1)pt. \: a = 1$

$= > b = a + 1 = 1 + 1 = 2$

$= > c = b + 1 = 2 + 1 = 3$

$= > d = c + 1 = 3 + 1 = 4$

$a + b + c + d = 1 + 2 + 3 + 4 = 10$

$2)pt. \: b = 1$

$= > a = b - 1 = 1 - 1 = 0$

$= > c = b + 1 = 1 + 1 = 2$

$= > d = c + 1 = 2 + 1 = 3$

$a + b + c + d = 0 + 1 + 2 + 3 = 6$

$3)pt. \: c = 1$

$= > a = c - 2 = 1 - 2 = - 1$

$= > b = a + 1 = - 1 + 1 = 0$

$= > d = c + 1 = 1 + 1 = 2$

$a + b + c + d = - 1 + 0 + 1 + 2 = 2$

$4)pt.\:d=1$

$=>a=d-3=1-3=-2$

$=>b=a+1=-2+1=-1$

$=>c=b+1=-1+1=0$

$a+b+c+d=-2-1+0+1=-2$