what is the 6th term of the geometric sequence 2000, 800, 320,..../

Answer 1

Start by taking the ratio of 800/2000
reduce it to 2/5 or .4

multiply 800 times .4 = 320

next multiply 320 times .4
and continue until you get to the 6th term.

Answer 2

you could do that, or just use the formula for the
nth term of a GS, which is ar^(n-1)

6th term = 2000(.4)^5 = 20.48