IThe first three terms of a sequence are given. Round to the nearest thousandth (if

necessary).

72, 24, 8, ...

Find the 8th term.

Answer: the eight term is 8/243

Step-by-step explanation:

Each term in this geometric sequence is equal to the previous term, divided by 3.

72,24, 8

a = 72, r = 1/3

a = first term, r is common ratio

tn = ar^n-1

t8 = 72: 3^8-1

t8 = 72: 3^7

= 72 / 3^7

= 8/243