# Given a geometric sequence A1=6, r=-5, how do you find the 5th term?

##### 1 Answer

Mar 7, 2016

3750

#### Explanation:

In the standard geometric sequence:

a , ar ,

#ar^2 , ar^3 ,ar^4 ,.................... , ar^(n-1)# the nth term

#=ar^(n-1)# here

#a = A1 = 6 , r = -5 and n = 5#

#rArr a_5 = 6xx(-5)^4 = 6xx625 = 3750 #