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 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

Determine the mass in grams of 6.63 × 10²¹ atoms of chromium. (The mass of one mole of chromium is 52.00 g.)
Use the picture below to solve for the missing information, given PQ = 2x + 8, QR = x + 11, and PR = 5x - 3.Someone please help, BE SPECIFIC on the answers &
cabularyworkehop.com Listen to Words (adj.) easily broken or damaged, requiring special handling or care antique was damaged during transit. The- SYNONYMS: weak
-1/2 w -3/5= 1/5 w...
all of the following are examples of environmental actors in an information system except: group of answer choices sales force. competitors. customers. regulato
Will mark brainliest!!!! Hell multiple choice
Select the lesser of The two given numbers -152, 12
ms. jones is complaining of nausea and ruq pain. which set of labs would the nurse expect the provider to order based on her symptoms?
what are the two ways you determine location and how are they different?
A package of 4 pairs of insulated socks costs $21.96. What is the unit price of the pairs of socks? The unit price is $ per pair of socks.