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

Points A, B, and C are collinear with coordinates A(-2,5), B(1,3), and C (x,-13). What is x?

Can you guys please answer this for me

Classify the equation as a conditional equation., an jdentity, or a contradiction and then state the solution. 8(1-3x)+15(2x+7)=2(x+50)+4(x+3)+1

what is the most important object people own

Length=4cmbreadth=3cmWhat is a volume????

Hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer to any will help

HELP!! i really need the answer to this question but i cant find the solution

Who is warren buffet

Kuper manipulates time to create tension. How are the graphic novel and story alike and different in their treatment of time? How does the idea of time figure i