mayc0lalu101 mayc0lalu101
  • 02-04-2020
  • Mathematics
contestada

Identify the 16th term of a geometric sequence where a1 = 4 and a8 = −8,748.

−172,186,884
−57,395,628
57,395,628
172,186,884

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 02-04-2020

Answer:

 −57,395,628

Step-by-step explanation:

The n-th term of a geometric sequence is given by ...

  an = a1·r^(n-1)

Then the ratio of the 8th term to the 1st term is ...

  a8/a1 = (a1·r^(8-1))/(a1·r^(1-1)) = r^7

and the common ratio is ...

  (-8748/4)^(1/7) = -3

That makes the 16th term be ...

  a16 = 4·(-3)^(16 -1) = -57,395,628

Answer Link

Otras preguntas

Find the circumference of a circle with a diameter of 11 mm.
fraction for 0.00078
The slope of the line that goes through the points (0, 4) and (1, 2) is -1/2 .true false
What is the function of a bacterium's capsule?
where might a pronoun’s antecedent appear?
simplify 15.6 divided by negative 3..
1. in which of the following sentences is the word its used correctly? a. the monster reared its head at the tourists. b. its easy to learn to play the guitar,
How many nouns are in this sentence: Tanya ran and jumped quickly.
In which sentence is the underlined phrase an adverb prepositional phrase? The United States launched its Skylab space station in May 1973. Some of the exp
choose the equation below that represents the line passing through the point (2, – 5) with a slope of −3. y = −3x − 13 y = −3x 11 y = −3x 13 y = −3x 1