The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 50,20,8

Find the 8th term.

.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

(-5,-28)

i graphed to on desmos.