Question 856103
the sum of an infinite geometric series is equal to a1 / (1-r).
r = 1/2
a1 = 36
sum is equal to 36 / (1 - 1/2) which is equal to 36/(1/2) which is equal to 72.
that's your answer.
the formula for the sum of a geometric series is normally shown as:
Sn = A1 / (1-r)
A1 is the first term in the sequence.
Sn is the sum of all the terms.
the following link discusses geometric series:
<a href = "http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut54d_geom.htm" target = "_blank">http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut54d_geom.htm</a>
if you are not familiar with how they work, this is a good review.
scroll down about 3/4 of the way down the page to get to sum of an infinite geometric series.