skyehinds skyehinds
  • 25-07-2016
  • Mathematics
contestada

Find the sum is of the geometric series 12+6+3+...

Relax

Respuesta :

dalendrk
dalendrk dalendrk
  • 31-07-2016
[tex]S=12+6+3+...\\\\a_1=12;\ a_2=6;\ a_3=3\\\\r=a_2:a_1\\\\r=6:12=\dfrac{1}{2} \ \textless \ 1\\\\therefore\ S=\dfrac{a_1}{1-r}\\\\S=12+6+3+...=\dfrac{12}{1-\frac{1}{2}}=\dfrac{12}{\frac{1}{2}}=12\cdot\dfrac{2}{1}=24\\\\Answer:\boxed{12+6+3+...=24}[/tex]
Answer Link

Otras preguntas

Suppose that the functions s and t are defined for all real numbers x as follows. s(x) = 2x+4 t(x) = 5x Write the expressions for (s+t)(x) and (s-t)(x) and eva
What is the defining feature of a system?  A. properties that don’t change  B. collision   C. interaction   D. gravitational force
how do you write 6,007,200 in word form
why a steel ship becomes magnetized as it is constructed?
how did the production of goods such as clothing and furniture change in the late 1800's?
The French Huguenots migrated to America because they were being persecuted for:
I need help on translating The sum of one third a number and 25 is as much as twice the number
Why was the work of Louis Pasteur important in the history of medicine?
(2x+1)+(×-10)=90 how do i solve this
I am a triangle with one obtuse angle. Draw me.