What is the 6th term of this sequence? 8,-12,18-27

Question

asked Sep 13, 2020 115k views

1 Answer

Samy Arous · Answer 1 · 2020-09-18T22:33:14+0000

Answer:

-60.75

Explanation:

-12 / 8 = -3/2

18 / -12 = -3/2

-27 / 18 = -3/2

This is a geometric sequence with a common ratio of -3/2.

an = 8 (-3/2)^(n-1)

The sixth term is:

a₆ = 8 (-3/2)^(6-1)

a₆ = 8 (-3/2)^5

a₆ = -60.75