An=a1+d(n-1) a1+5d=3 a1+8d=18 a1=3-5d 3-5d+8d=18 3d=15 d=5 <span>a1=3-5*5=-22</span>
проивзодная справа равна
f'+(x)=(-0.5x)'=-0.5
производная слева равна
f'-(x)=(0.5x)'=0.5
значения проивзодных слева и справа от точки 0 не равны
f'+(0)=-0.5 не равно 0.5=f'-(0) поєтому функция не имеет производной в точке х=0
а) 2,10,50... q = 10 : 2 = 5; ![b_{n+1}=b_n\cdot 5](https://tex.z-dn.net/?f=b_%7Bn%2B1%7D%3Db_n%5Ccdot+5)
<em>2; 10; 50; 250; 1250; 6250...</em>
б) 9,3,1... ![q = 3 : 9 = \dfrac13;~~~~b_{n+1}=b_n\cdot \dfrac13](https://tex.z-dn.net/?f=q+%3D+3+%3A+9+%3D+%5Cdfrac13%3B~~~~b_%7Bn%2B1%7D%3Db_n%5Ccdot+%5Cdfrac13)
![\boldsymbol{9; ~3; ~1; ~\dfrac13; ~\dfrac19; ~\dfrac1{27}...}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B9%3B+~3%3B+~1%3B+~%5Cdfrac13%3B+~%5Cdfrac19%3B+~%5Cdfrac1%7B27%7D...%7D)
в) -1000,100,-10... q=100:(-1000)= -0,1; ![b_{n+1}=b_n\cdot (-0,1)](https://tex.z-dn.net/?f=b_%7Bn%2B1%7D%3Db_n%5Ccdot+%28-0%2C1%29)
<em>-1000; 100; -10; 1; -0,1; 0,01 ...</em>
г)
![\dfrac1{16};~-\dfrac18;~\dfrac14...~~~~~q=-\dfrac18:\dfrac1{16}=-2;~~~~b_{n+1}=b_n\cdot (-2)\\\\ \boldsymbol{\dfrac1{16};~-\dfrac18;~\dfrac14; -~\dfrac12; 1; -2...}](https://tex.z-dn.net/?f=%5Cdfrac1%7B16%7D%3B~-%5Cdfrac18%3B~%5Cdfrac14...~~~~~q%3D-%5Cdfrac18%3A%5Cdfrac1%7B16%7D%3D-2%3B~~~~b_%7Bn%2B1%7D%3Db_n%5Ccdot+%28-2%29%5C%5C%5C%5C+%5Cboldsymbol%7B%5Cdfrac1%7B16%7D%3B~-%5Cdfrac18%3B~%5Cdfrac14%3B+-~%5Cdfrac12%3B+1%3B+-2...%7D)
.........................................................................