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

=> $r = 6$

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

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

A geometric sequence is defined recursively by a_n = 6a_(n -1)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?