What is the sum to infinity of the geometric sequence 10,5,5/2,5/4,...?

What is the sum to infinity of the geometric sequence 10,5,5/2,5/4,...?

Explanation

The formula #S_oo=a_1/(1-r)#

#a_1=-10# and #r=1/2#

#S_oo=-10/(1-1/2)#

#S_oo=-20#

Sh1-9-2023