How do you find the sum of the infinite geometric series 256+192+144+108...?

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Answer 1 · 2016-08-16T14:53:23

#s_oo = 1024#

Before finding the sum, we will need to know the common ratio, #r#. Note that if #r >= 1# or #r <= -1#, this series will not have a finite sum.

#r = t_2/t_1#

#r = 192/256#

#r = 3/4#

Now apply the formula #s_oo = a/(1 - r)#:

#s_oo = 256/(1 - 3/4)#

#s_oo = 1024#

Hopefully this helps!