a₁ =2,5
a₆ = 4
2,5; a₂; a₃; a₄; a₅; 4
2,5; 2,5+d; 2,5+2d; 2,5+3d; 2,5+4d; 4
d - знаменатель арифметической прогрессии.
1) Находим знаменатель арифметической прогрессии, зная её шестой член.
а₆=2,5+5d;
2,5+5d = 4
5d = 4 - 2,5
5d = 1,5
d = 1,5 : 5
<em>d = 0,3</em>
2)
a₂ = 2,5+0,3 = 2,8
a₃ = 2,5+2*0,3 = 3,1
a₄ = 2,5+3*0,3 = 3,4
a₅ = 2,5+4*0,3 = 3,7
Ответ: 2,5; 2,8; 3,1; 3,4; 3,7; 4
<span>2(3x-y)-5=2x-3y
6х - 2у - 5 = 2х - 3у
-2у + 3у = 2х - 6х + 5
у = -4х + 5
5-(x-2y)=4y+16
5 - х + 2у = 4у + 16
2у - 4у = 16 - 5 + х
-2у = 11 + х
2у = -11 - х
у = -0.5х - 5.5
Графики смотреть во вложении</span>
![\frac{ x^{2} -5x+4}{x-4}\\\\ x^{2} -5x+4=0\\\\D=(-5) ^{2}-4*1*4=25-16=9=3 ^{2}\\\\ x_{1}= \frac{5+3}{2} =4\\\\ x_{2}= \frac{5-3}{2}=1\\\\ x^{2} -5x+4=(x-4)(x-1)\\\\ \frac{ x^{2} -5x+4}{x-4}= \frac{(x-4)(x-1)}{x-4}=x-1](https://tex.z-dn.net/?f=+%5Cfrac%7B+x%5E%7B2%7D+-5x%2B4%7D%7Bx-4%7D%5C%5C%5C%5C+x%5E%7B2%7D+-5x%2B4%3D0%5C%5C%5C%5CD%3D%28-5%29+%5E%7B2%7D-4%2A1%2A4%3D25-16%3D9%3D3+%5E%7B2%7D%5C%5C%5C%5C+x_%7B1%7D%3D+%5Cfrac%7B5%2B3%7D%7B2%7D+%3D4%5C%5C%5C%5C+x_%7B2%7D%3D+%5Cfrac%7B5-3%7D%7B2%7D%3D1%5C%5C%5C%5C+x%5E%7B2%7D+-5x%2B4%3D%28x-4%29%28x-1%29%5C%5C%5C%5C+%5Cfrac%7B+x%5E%7B2%7D+-5x%2B4%7D%7Bx-4%7D%3D+%5Cfrac%7B%28x-4%29%28x-1%29%7D%7Bx-4%7D%3Dx-1++++++++)
Если x = - 3 , то - 3 - 1 = - 4