SOLUTION: 2) Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following: What is r, the ratio between 2 consecutive terms? Answer: a) Using the formula for the nth ter

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: 2) Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following: What is r, the ratio between 2 consecutive terms? Answer: a) Using the formula for the nth ter      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 38774: 2) Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following:
What is r, the ratio between 2 consecutive terms?
Answer:
a) Using the formula for the nth term of a geometric sequence, what is the 10th term?
Answer:
Show work in this space.



b) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
Answer:
Show work in this space.

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
The r (ratio) is determine as taking the second number divided by the first. That is 3/1, so the ratio is 3.
a) Using the formula for the nth term of a geometric sequence, what is the 10th term?
n+=+a%2Ar%5E%28n-1%29
n+=+1%283%29%5E%289%29+=+19683
b) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
s=%28%28a%29%281-r%5E%28n%29%29%29%2F%281-r%29
s=%28%281-3%5E%2810%29%29%29%2F%281-3%29
s=%28%281-3%5E%2810%29%29%29%2F%28-2%29
s=29524