gabster49 gabster49
  • 03-06-2018
  • Mathematics
contestada

Find the 10th term of the geometric sequence given a1 =4 and a4 = 1/2

The answer is 1/128

Respuesta :

mkryukova19 mkryukova19
  • 04-06-2018
Equation for n-th term of geometric sequence:

a(n)=a(1)*r^(n-1)
For 4th term,
a(4)=a(1)r^(4-1)
1/2=4*r^3
∛(1/8) = ∛(r^3)
r=1/2

For 10th term,
a(n)=a(1)*r^(n-1)
a(10)=4*(1/2)^(10-1)
a(10) =4/(2^9) =( 2^2)/(2^9)= 1/(2^7) = 1/128



Answer Link

Otras preguntas

4 over 5 Into decimal
Dimensional analysis: 1.35 kilometers per second= ? miles per hour
How to turn 27/20 into mixed number
LaDonna is running for city council she needs to get 5/6 of her votes from senior citizens and 30,000 votes in all to win how many votes does she need from vote
What important legal practice dates back to henry 11?
Some of africa's challenges are the result of colonial borders having been drawn with no respect for existing __________ boundaries.
Jason eats 10 ounces of candy in five days how many pounds does he eat per day
Write a mathematical expression for 3 times a number n:
True or false all fraction can be written as a repeating decimal if it's false write example that proves this statement is false
A(n) _______ is like a rockslide, but on a snow-covered mountain.