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

Purpose of state of union

Explain the difference between population, community, and ecosystem

Fill in the table using this function rule. y=2x -4 x y -4 ? -2 ? 0 ? 2 ?

Help me ASAP I'll do the same:)

A local college student will be randomly selected to attend a leadership conference in Washington, D.C. There are 2020 local college students, of which 40% are

which sentence uses the passive voice for the main verb? if we use our cell phones during class, the teacher confiscates them. when they can, students slide dow

alejandro wants to determine the average shoe size of all of the male students in his school. which sample is likely to yield the most biased results? every ten

An atom that has fewer neutrons than protons and more electrons than protons is a(n) ion.

8) What many atoms are in 100 grams of of Mgo?

hi may someone help me out with this please