skyehinds skyehinds
  • 25-07-2016
  • Mathematics
contestada

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

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

1. Which of the following is not considered a race? a. Black b. White c. Latino d. Asian e. Native American
what is the area figure in
Which theme best connects to this excerpt? human beings learn from nature. silence is a powerful tool. evil can never truly hide itself. strength comes from tri
¿Cuántas mujeres han sido elegidas presidentas en América Latina por un proceso democrático? O A. siete O B. nueve O C. cinco O D. ninguna
B. Put a circle around the naming words. 1. The name of my sister is Tiya. 2. The peacock is our national bird.3. My school is near a park.​
What is the design that examines the effects of region of residence (e.g., northeast, south, midwest, and west) and income (i.e., low, medium, and high)
Why is it important to be careful interpreting absolute ages of clastic sedimentary rocks such as sandstones?
Mia is traveling in a car at a speed of 52.8 miles per hour. How many miles will she cover in 2 hours?
How did humanism affect paintings during the renaissance
Solve the equation 3x²− 55 = 92 x = 7 and -7 x = 7 x = 8 and -8 x = 49