michashanepgod michashanepgod
  • 01-04-2017
  • Mathematics
contestada

The 2nd term in a geometic sequence is 20. the fourth term in the same sequence is 45/4 or 11.25. what is the common ratio in this sequence?

Respuesta :

alihmatar
alihmatar alihmatar
  • 01-04-2017
Let x be the value of the third term.
Since it's a geometric sequence, then:
Third term/Second term = Fourth term/Third term
x/20 = 11.25/x
Cross multiplication:
x^2 = 225
x = 15
So since the ratio is constant, then it is
x/20 = 15/20 = 3/4
So the common ratio is 3/4 or 0.75.
Answer Link

Otras preguntas

Solve for the value of x by applying the definitions of complementary and supplementary angles
Your grade in the class consists of 2 midterms 15% each, homework 10%, projects 5%, attendance 10%, and final 30%. Find the weighted mean if your scores are as
how many physical regions does the United States have?
help me pleaseeee this is due tomorrow
why does the central part of a red blood cell appear paler than the outer part when viewed under a light microscope
The fastest growing mode of entertainment for Americans after ww2
Which of the following is NOT a characteristic of the Supreme Court?
By 1730, the 13 North American colonies had formed a loose political union which later proved to be the basis for the Continental Congress at the time of the Am
Which type of map would best show where iron ore is located in a region A resource map A political map A thematic map A choropleth map
What type of government do most Middle Eastern countries have?