Question 68833: I can't figure this out. Please help.
Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following:
a) What is r, the ratio between 2 consecutive terms?
Answer:
Show work in this space.
b) Using the formula for the nth term of a geometric sequence, what is the 10th term?
Answer:
Show work in this space.
c) 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 rmromero(383)   (Show Source):
You can put this solution on YOUR website! Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following:
a) What is r, the ratio between 2 consecutive terms?
Answer:
Definition:
A sequence is geometric if there exist a number r, called the common ratio, such that multiplying the previous term by r results in the next term.
b) Using the formula for the nth term of a geometric sequence, what is the 10th term?
Answer:
The nthe term of a geometric sequence is given by:
 , r ≠ 0
n = 10 ---> 10th term
a[1] = 1 ---> first term
r = 3 ---> common ratio
c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
Answer:
The partial sum of the first n terms of a geometric sequence is given by:
 , r≠1
Where,  = Partial sum
 --->> first term
r = 3 -----> common ratio
n = 10 ----> 10th term
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