nannagarvey2501 nannagarvey2501

01-08-2017
Mathematics

contestada

Find the sum of the series. 1 + z/5 + z^2/25 + z^3.125

Respuesta :

LammettHash LammettHash

01-08-2017

[tex]1+\dfrac z5+\dfrac{z^2}{25}+\dfrac{z^3}{125}+\cdots=\displaystyle\sum_{k=0}^\infty\left(\frac z5\right)^k[/tex]
[tex]=\dfrac1{1-\frac z5}=\dfrac5{5-z}[/tex]

provided that [tex]\left|\dfrac z5\right|<1\iff|z|<5[/tex].

Answer Link

Otras preguntas

1=x^2 Solve for X. Y=x^2-1

what do vertical angles equal

Blocks with masses of 3.0 kg , 4.0 kg , and 5.0 kg are lined up in a row on a frictionless table. All three are pushed forward by a 20 N force applied to the 3.

a system of two carts has a total initial momentum of 2kg m/s before a collision how much total momentum would the system of two carts have after the collision

2.1.2 Make use of the distance formula to determine the length of PQ

for each of the follwing situations write down the formula andd determine itf it defines a linear function

HELPPPPPPPPPP PLEASEEEEEEEE!!!!!!

For which equation is x = 2 a solution? A. 5x − 4 = 11 B. 4x − 7 = 13 C. 3x + 1 = 7 D. 2x + 1 = 9

what does x=, im very stuck on this

Which of the following sentences is correct? 25 OA. My mother warned, "Whoever called Australia had better speak up. OB. My mher said, I hope it wasn't you". OC