S1ari5ballinGwy
S1ari5ballinGwy S1ari5ballinGwy
  • 21-12-2016
  • Mathematics
contestada

The second term in a geometric 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 :

MissPhiladelphia
MissPhiladelphia MissPhiladelphia
  • 22-12-2016
We use equations for geometric sequence. We do as follows:

a(n) = a(1) r^(n-1)
20 = ar^(2-1)
20 = ar
a = 20/r

11.25= ar^(4-1)
11.25 = ar^3
11.25 = (20/r)r^3
r = 0.75

Hope this answers the question. Have a nice day.
Answer Link
victoriachadwick1250 victoriachadwick1250
  • 18-06-2019

Answer:

0.75

Step-by-step explanation:

Answer Link

Otras preguntas

What is the equation of the line written in general form?-x + y - 2 = 0x+y - 2 = 02x+y - 2 = 0​
what is one benefit of paraphrasing?
What is the state of nature
What is the category name for the largest division of time used on the geologic time scale?
Why are objects that fall near earth’s surface rarely in free fall?
Find the angle between u = (8.- 3) and v = (-3,- 8) Round to the nearest tenth of a degree. a. 180 c. 0 b. 90 d. 450
Which equation can be used to solve for b? b = (8)tan(30o) b = 8/tan(30o) b = (8)sin(30o) b = 8/sin(30o)
Which of the following goods is provided by the U.S. government rather than by individuals? A Steel B Computers C Food D Roads
Operators must remain at least how far from military and naval vessels?
The most abundant compound in most living things is