Question

For the geometric series, find the sum. If the series has no sum, say so.

Answer 1

\[3\sqrt{3}-3+\sqrt{3}-1+...\]

Answer 2

@mathstudent55 @ranga @rock_mit182 @SolomonZelman

Answer 3

@hello1213 tell me , what is the common ratio of this series?

Answer 4

-0.57735?

Answer 5

No! Give me an exact value.

Answer 6

\[\frac{ \sqrt{3}}{ 3 }\]

Answer 7

but negative..?

Answer 8

The common ratio is a -√3


\(\Huge\color{blue}{ \bf S= \frac{t_1}{1-r} }\)

in blue, is the formula for a(n approximate) sum.

Answer 9

Right, you are dividing, so it would be what you said, in a simplified form.

Answer 10

wait I don't understand why the ratio is \[-\sqrt{3}\]

Answer 11

No, you are correct, it's -√3/3

Answer 12

oh okay... and now I plug in to the formula?

Answer 13

\(\Huge\color{blue}{ \bf S= \frac{t_1}{1-r} }\)



\(\Huge\color{blue}{ \bf S= \frac{3\sqrt{ 3} }{1-\frac{\sqrt{3}}{3} }=? }\)