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

. Which sentence uses parallelism? Our major problems include worn-out roads, missing signs, and throwing trash everywhere. To clean up our open areas and havin
where dose sperm production begins
Place the following words in the correct order to make a complete sentence: (4 points) 1) puedo 2) ir 3) no 4) al cine Question 18 options: 1) 3124
plant called Jimson weedunit 4 genetics alternative test
Explain two ways that Mayan civilization was “very organized.”
what best describes the dip in salinity centered at 400 meters along the shore
A foil is a character who highlights, through sharp contrast, the qualities of another character. Which two sets of character in Act 1 are foils for each other?
the paintings in the lascaux cave were discovered by
Which two entrepreneurs are considered technological rivals? A) Bill Gates and Steve Jobs B) Lee Iacocca and Jeff Bezos C) Ray Kroc and Andrew Carnegie D) Do
The Battle of Cowpens was fought in 1781. true or false