Question

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

necessary).
72, 24, 8, ...
Find the 8th term.

Answer 1

Answer: the eight term is 8/243

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