Posted by **jerson** on Monday, November 10, 2008 at 10:06pm.

for the geometric series shown, state whether the series in convergent. If the Series is convergent give its sum

9+6.3 +4.41 +...

a tutor helped me earlier but how is the sum 0.7

- trig -
**Reiny**, Monday, November 10, 2008 at 10:31pm
9+6.3 +4.41 +...

= 9(1 + .7 + .49 + ..

= 9(1 + .7 + .7^2 + ...)

the bracket is a geometric series with a first term of 1 and a common ration of .7

S_{∞} = a/(1-r)

= 1/(1-.7)

= 1/.3

= 10/3

so the total sum is 9(10/3) = 30

- trig -
**Anonymous**, Tuesday, November 11, 2008 at 11:37am
so wats 2+2

- trig -
**drwls**, Monday, November 10, 2008 at 10:33pm
The sum is is not 0.7. That is the ratio of successive terms.

I thought I answered the question earlier. The sum converges to 30

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