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

Pls help me also don’t mind “8.”
A line segment AB has the coordinates A (2,3) AND B (8,11) answer the following questions (1) What is the slope of AB? (2) What is the length of AB? (3) What ar
A child kicks a ball horizontally with a speed of 4.8 m/s off a deck 3.5 m off the ground. How long will it take, in seconds, for the ball to hit the ground?
who is Aufabu? Is he a man ?​
In Ms. Jordan's math class, ● there are 4 more female students than male students; ● the number of male students is 23 the number of female students. Let x repr
Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options. > The rule for the translation can be written as T–5, 3(x,
whats your favirote crisp?????
_________ are the things that are most important to you to consider in making the decision.
What the expression that equivalent to (72 - 5) - (3.0 — 2)?
Help me with this plz I will make u Brainly