What is the sum of the infinite geometric series?

The search for the correct answer for the moment is a breeze. clickanswer.us offers accurate questions and answers. We provide a clear answer key, which is accompanied by the discussion. We offer a variety of answer keys that range from junior high, elementary and upper level schools. We offer subjects like biology, mathematics, physics as well as economics, history, and many more. Below are the question and answers which have been compiled from different sources found on the internet.

READ MORE :  What is 8 3/4 as a decimal

Question:

What is the sum of the infinite geometric series?

-3-3/2-3/4-3/8-3/16-
a. -93/16
b. 3/32
c. -4
d. -6

Answer:

That is a geometric sequence of the form a(n)=-3(1/2)^(n-1)

The sum of any geometric sequence is:

s(n)=a(1-r^n)/(1-r)

and if r^2<1 it converges to a sum of:

s=a/(1-r)…. in this case:

s=-3/(1-1/2)

s=-3/(1/2)

s=-6

You can use the answer key provided above to help you study at home or in school. We appreciate your visit and I hope that it is useful for all of us.

Leave a Comment