A geometric sequence is defined recursively by #a_n = 6a_(n -1)#. The first term of the sequence is 0.75. Which of the following is the explicit formula for the nth term of the sequence?

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Answer 1 · 2016-12-23T07:25:30

#a_n = 0.75 xx (6)^(n-1)#

Given #a_n = 0.75#

#a_n = 6a_(n - 1)#

#=> (a_n)/(a_(n-1) # = 6

=> #r = 6#

#a_n = a_1 xx (r)^(n-1)#

=> #a_n = 0.75 xx (6)^(n-1)#