A geometric sequence is defined recursively by an=12an-1. The first term of the sequence is 0.001. Which of the following is the explicit formula for the nth term of the sequence?

Answer :

dalendrk
[tex]\left\{\begin{array}{ccc}a_1=0.001\\a_n=12a_{n-1}\end{array}\right\\\\\boxed{a_n=0.001\cdot12^{n-1}}[/tex]

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