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

what is the 29th sequence in the triangular number sequence a.k.a the pascals sequence
A pitcher on a baseball team has pitched 98 2/3 innings. What is the number of innings written as a decimal?
which digit has the same value in both numbers? What is the value of that digit? 123,456,789 987,654,321
What is 6,007,200 in word form and expanded
What it is a rising action of a story for King arthur
Absolute value inequality.                                                               |2w-5|  ((is less than or equal to))  5
What is 6,007,200 in word form and expanded
To replace a number with another number that tells how many or joe much
value mart is having a back to school sale on pencils a pack of 30 sells for 7.97 whereas a 12 pack brand cost for 4.77 which is better to buy and please explai
a tank 4/5 full needs 75 liters to fill it up. how many liters does it hold when full? - help please :3 xx