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What is the 7th term of the geometric sequence 4, –20, 100, …?

1 Answer

May 19, 2018

#color(maroon)(a_7 = 4 * (-5)^6 = 62500#

Explanation:

#a = 4, a_2 = -20, a_3 = 100#. To find #a_7#

Common ratio #r = a_2 / a = a_3/a_2 = -20/4 = 100/-20 = -5#

#n^(th) # term of G S #a_n = a r^(n-1)#

#:. a_7 = a * r^6 #

#color(maroon)(a_7 = 4 * (-5)^6 = 62500#

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