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How do you find the sum of the infinite geometric series -3, -3/2, -3/4, -3/8?

1 Answer

Nov 21, 2015

The sum of this sequence is #-6#

Explanation:

To find the sum of an infinite geometric sequence we use the formula:

#S=a_1/(1-q)#

First we have to find #q# to see if the sequence is convergent:

#q=-3/2:(-3)=1/2#

#abs(q)<1#, so the sequence is convergent. We can calculate the sum:

#S=a_1/(1-q)=(-3)/(1-1/2)=-3/(1/2)=-3*2=-6#

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