SOLUTION: Don't know how to do these. Please help. 3) Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27� to find the following: a) What is r, the ratio between 2 consecutive terms?

Question 39011: Don't know how to do these. Please help.
3) Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27� 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 sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Carry all calculations to 7 significant figures.
Answer:
Show work in this space.

c) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 12 terms? Carry all calculations to 7 significant figures.
Answer:
Show work in this space.

d) What observation can make about these sums? In particular, what number does it appear that the sum will always be smaller than?
Answer:

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
3) Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27� to find the following:
a) What is r, the ratio between 2 consecutive terms?
Answer:
Show work in this space.
r = [1/3]/1= 1/3
b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Carry all calculations to 7 significant figures.
Answer:
Show work in this space.
S(10)=[r^10-1]/[r-1]= [(1/3)^10-1]/[1/3 - 1]
=-0.99998306.../(-2/3)1.49997460...

c) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 12 terms? Carry all calculations to 7 significant figures.
Answer:
Show work in this space.
S(12)=[(1/3)^12 - 1]/[(1/3)-1]= -0.99999812.../(-2/3)
=1.49999718...

d) What observation can you make about these sums? In particular, what number does it appear that the sum will always be smaller than?
Answer:
I'll leave this to you.
Cheers,
Stan H.

RELATED QUESTIONS
Any help here? Use the geometric sequence of numbers 1, 3, 9, 27, � to find the... (answered by jim_thompson5910)

I am having trouble with this problem, could you please help me. 3) Use the geometric... (answered by sdmmadam@yahoo.com)

Use the geometric sequence of numbers 1, 3, 9, 27 � to find the following: a) What is... (answered by jim_thompson5910)

Use the geometric sequence of numbers 1, 3, 9, 27, � to find the following: a) What is... (answered by rmromero)

2) Use the geometric sequence of numbers 1, 3, 9, 27, � to find the following: a)... (answered by stanbon)

did I do this right: Use the geometric sequence of numbers 1, 3, 9, 27, � to find the... (answered by fractalier)

Still do not understand. Please help again. 3) Use the geometric sequence of numbers (answered by stanbon)

Hello I really need help. PLEASE HELP ME... Use the geometric sequence of numbers... (answered by vertciel)

Hello tutors could someone help with these word problems thanks Tine! 2) Use the... (answered by tutorcecilia)