Question

50, 20, 8, ... Find the 8th term.

Answer 1

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