How do you find the sum of the infinite geometric series 14-7+7/2-7/4+....? Precalculus Series Infinite Series 1 Answer bp Jan 25, 2016 #28/3# Explanation: Common ratio of the series is #-1/2#. Using formula for sum of an infinite geometric convergent series #a/(1-r)#, the required sum would be #14/ (1+1/2) = 28/3# Answer link Related questions What are some examples of infinite series? Can an infinite series have a sum? What are some examples of convergent series? What are common mistakes students make with infinite series? How do I use an infinite series to find an approximation for pi? How do I find the sum of the infinite series 1 + #1/5# + #1/25# +... ? How do I find the sum of the infinite series #1/2# + 1 + 2 + 4 +... ? What are some examples of divergent series? How do you find the sum of the infinite geometric series 1/2+1/4+1/8+1/16..? How do you find the sum of the infinite geometric series 3-1+1/3...? See all questions in Infinite Series Impact of this question 3944 views around the world You can reuse this answer Creative Commons License