How do you write a rule for the nth term of the geometric term and then find $a_6$ given $r=3, a_1=2$ ?

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Answer 1 · 2017-10-30T01:38:53

From the reference Geometric Progression we use the general form:

$a_n = a_1r^(n-1)$

Substitute $a_1 = 2$ and $r = 3$ into the general form:

$a_n = 2(3)^(n-1)$

Substitute $n=6$

$a_6 = 2(3)^(6-1)$

$a_6 = 2(3)^5$

$a_6 = 486$

How do you write a rule for the nth term of the geometric term and then find a_6a_6 given r=3, a_1=2r=3, a_1=2?