meredith48034
meredith48034 meredith48034
  • 13-02-2020
  • Mathematics
contestada

Find explicit formula that generates a sequence whose first four terms are:
1000, 400, 160, 64
​

Find explicit formula that generates a sequence whose first four terms are1000 400 160 64 class=

Respuesta :

jimthompson5910 jimthompson5910
  • 13-02-2020

This is a geometric sequence.

a = 1000 is the first term

r = 0.4 is the common ratio (since a2/a1 = 400/1000 = 0.4)

a(n) = a*r^(n-1)

a(n) = 1000*0.4^(n-1)

a(n) = 1000*0.4^n*0.4^(-1)

a(n) = 1000*0.4^n*2.5

a(n) = 1000*2.5*0.4^n

a(n) = 2500*(0.4)^n

Answer is choice B

Answer Link

Otras preguntas

What is the solution to this system of linear equations? y − 4x = 7 2y + 4x = 2 (3, 1) (1, 3) (3, −1) (−1, 3)
PLEASE PLEASE PLEASE PLEASE HELP!!! I REALLY NEED HELP AND ILL GIVE U A BRAINLIEST IF UR RIGHT!! What does deploying a computer mean? installing updated softwar
predict what might happen if the broad ligament and other supporting ligaments are damaged by infection or injury.
What is the probability of landing on the number 2 when rolling a die review 3?
Study of the anatomy, physiology, pathology, and chemistry of the cell is known as
Fatigue or other forms of discomfort can be which barrier to listening?
At Wayne College, 3/4 of the students are enrolled in an art class. Of the students enrolled in an art class, 1/4 are enrolled in a painting class. What fractio
Ud. __________en la clase de inglés. (estar)
(2n)4 without exponents
Jamie took an 8-week keyboarding class. At the end of each week, she took a test to find the number of words she could type per minute and found out she improve