SOLUTION: Please help. 2) Use the geometric sequence of numbers 1, 3, 9, 27, � to find the following: a) What is r, the ratio between 2 consecutive terms? Show work in this space.

Question 39455: Please help.
2) Use the geometric sequence of numbers 1, 3, 9, 27, � to find the following:
a) What is r, the ratio between 2 consecutive terms?
Show work in this space.

b) Using the formula for the nth term of a geometric sequence, what is the 10th term?
Answer: the sum of the first 10 terms is: 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 stanbon(75887) (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?
Show work in this space.
Divide any term by the term preceding it to find "r".
For example r=9/3=3

b) Using the formula for the nth term of a geometric sequence, what is the 10th term?
Answer: The nth term is a(n)=a(1)r^(n-1) where a(1) is the 1st term.
a(10)=a(1)r^(10-1)
a(10)=(1)3^9=19683
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.
The sum of n terms is S(n)=a(1)[(r^(n)-1)/(r-1)]
a(1) means the 1st term.
So, S(10)=(1)[3^(10)-1)/(3-1)]=[(59049-1)/2]=29524
Cheers,
Stan H.

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