Answer:
.082
Step-by-step explanation:
First find the common ratio
Take the second term and divide by the first term
20/50 = 2/5 = .4
Check with the third term divided by the second term
8/20 = .4
The formula for a geometric sequence is
an = a1 (r) ^(n-1) where a1 is the first term and r is the common ratio
=50 ( .4) ^ (n-1)
We want to find the 8th term
= 50 ( .4)^(8-1)
= 50 ( .4) ^7
=0.08192
Round to the nearest thousandth
= .082
