Answer:
0.08192
Step-by-step explanation:
Given 50, 20, 8, ...
The sequence is geometric in nature
The nth term of the geometric sequence is exoressed as;
Tn = ar^{n-1}
a is the first term = 50
r is the common ratio = 20/50 = 8/20 = 2/5
n is the number of term = 8 (since we need the 8th term)
Substitute
T8 = 50(2/5)^{8-1}
T8 = 50(2/5)^7
T8 = 50(128/78,125)
T8 = 0.08192
Hence the 8th term is 0.08192.
