What is the 6th term of the geometric sequence where #a_1 = -625# and #a_2=125#?

1 Answer
Binayaka C.
Aug 13, 2017

#6# th term of the geometric sequence is #0.2 #

Explanation:

#a_1= -625 , a_2 = 125 #. Common ratio is #r=125/-625= -1/5= -0.2#

#n# th term of the geometric sequence is #a_n= a_1 * r^(n-1)#

So #6# th term is #a_6= -625 * (-0.2)^(6-1) # or

#a_6= -625 * (-0.2)^5 =0.2 # [Ans]

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