janayplacencia9 janayplacencia9
  • 18-03-2019
  • Mathematics
contestada

What is the sum of an infinite geometric series if the first term is 156 and the common ratio is 2⁄3?

A. 260
B. 468
C. 208
D. 234

Respuesta :

gmany
gmany gmany
  • 20-03-2019

Answer:

B. 468

Step-by-step explanation:

We have

[tex]a_1=156,\ r=\dfrac{2}{3}[/tex]

If |r| < 1, then the formula of a sum of an infinite geometric sequence is:

[tex]S=\dfrac{a_1}{1-r}[/tex]

Substitute:

[tex]S=\dfrac{156}{1-\frac{2}{3}}=\dfrac{156}{\frac{1}{3}}=156\cdot\dfrac{3}{1}=468[/tex]

Answer Link

Otras preguntas

The opposit of homely is
what is meant by psychology
I need to know where the brackets are suppose to go in questions 27-29
- CLASSIFY - Identify the following animals as a filter feeder, detritivore, parasite, or carnivore: a hawk that eats mice; a lobster that feeds on dead fish; a
What was one of Kublai Khan’s achievements? Kublai Khan captured the city of Baghdad. Kublai Khan united the tribes of Mongolia. Kublai Khan founded the Mongol
What are hormones? How do they work?
Genetic drift in a population affects the gene pool in which of the following ways? decrease in genetic variation increase in genetic variation increased mutati
how did the Industrial Revolution impact imperialism
PLEASE HELP ME WITH MY HOMEWORK!!!!!!!!!!!!!!!!!!!!!!! Reading Review: The Art of Drawing 1. What makes line one of the key elements of art? 2.How does Rembrand
WILL GIVE BRAINIEST ANSWER FOR SHOWING WORK. Complete the equation. Round to the nearest hundredth where necessary. (Recall: 1 mi ≈ 1.61 km) 37 mi = ______ km