SOLUTION: 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

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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