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

believed that the human mind could understand everything

The opposite of -542

The tent shown below has fabric covering all four sides and the floor. What is the minimum amount of fabric needed to construct the tent?

In an operating voltaic cell, reduction occurs A) at the anode B) at the cathode C) in the salt bridge D) in the wire

Read this excerpt from Exploring the Titanic. Suddenly, out of the gloom the Boat Deck of the ship came into view. "Keep your eyes peeled for funnels." But th

Anya started solving for the volume of the pyramid using the steps below. V = one-third B h B = 12 (12) = 144 feet squared A square pyramid with a base of 12

Please help awarding BRAINLIEST

In ΔEFG, the measure of ∠G=90°, the measure of ∠F=23°, and FG = 31 feet. Find the length of GE to the nearest tenth of a foot.

Solve the formula A = P + PI for I.

What percent of communication is based on the verbal or written word?A. 5B. 7C. 10D. 22