Can someone please help. It says, Determine the sum of the geometric series. 96000-48000+24000-.....+375. Can someone help me solve it.

Question

anonymous · Answer

theres a formula for this but first i need you to do something for me... find the common ratio r...

^.^

anonymous · Answer

oh  would that be (-1/2) right?

anonymous · Answer

Yes exactly :D
So the sum of an infinite geometric series assuming the absolute value of the common ratio is less than 1 would be given by this formula
$$\Large S=\frac{a}{1-r}$$

where a is the first term in the series and r is the common ratio ^.^

anonymous · Answer

oh okay, so I would just have to sub in the common ratio and the first term using this formula and I would get the sum

anonymous · Answer

that is correct, @My15girl 
^.^

anonymous · Answer

Thank you very much PeterPan!!! :D

anonymous · Answer

:)