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

if you live 35 miles from work & drive 35 mph how long would it take to get there
The base of right prism is rhombus of diagonal is 6 and 8cm and altitude is 12 cm find total surface area
How do u write 6 more the 7 times a number is 41 in algebraic equation??
What is the approximate circumference if the circle that has a center at (2,1) ans passes through the point (2,5). 1. 8 units 2. 13 units 3. 25 units 4. 50 unit
conversation between Hitler and gandhi
If 2 less than or equal too X less than or equal too 6, which of the following has the greatest value
The entire region of Northern Africa and southwest Asia has a climate generally described as?
The formula C = 20x + 5 models the cost of New York Yankees T-shirts, where C is the cost and x is the number of shirts sold. Choose ALL TRUE statements in the
The neolithic revolution is most closely associated with....
What is the lateral area of the rectangular prism with a base length of 17 m, a base width of 7 m, and a height of 5 m?