What is the #n^"th"# term of the geometric sequence #360,180,90,45#?

1 Answer
Mar 7, 2017

Answer:

#T_n = 360*(1/2)^(n-1)#

Explanation:

A GP has the general term #T_n = ar^(n-1)#

In this case we have:

#T_1 =a = 360#

#r = T_n /T_(n-1) = 45/90=90/180 = 180/360 = 1/2#

Substituting these values gives: #T_n = 360*(1/2)^(n-1)#

This means that if we want to know the value of a particular term, we just need to plug in the value of #n#.