Answer:
<h2>-3400</h2>
Step-by-step explanation:
In general, a geometric sequence is given by:
<h3>
a,
ar,
ar^2,
⋯,
ar^n−1 </h3>
In the sequence 20, - 40 , 80,…
First term, a1 = 20
Common ratio, r = - 40 ÷ 20 = - 2
The nth term is = 9th
Sum of finite geometric series : Sn= ( a1 - a1r^n ) / ( 1 - r)
S9 = ( 20 - 20 x (- 2)^9 ) / ( 1 - ( - 2) )
S9 = ( 20 - 20 x - 512 ) / ( 1 + 2 )
S9 = ( 20 - 10240<em> </em>) / ( 3 )
S9 = ( - 10220 ) / 3
<h3>S9 = - 3400 <u>Answer</u> </h3><h2>Hope it's help you.... ^_^❤️</h2>