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A Sequence ana_{n} Can Be Defined by a Recurrence Relation, Which Gives the Which

Question 29

Multiple Choice

A sequence ana_{n} can be defined by a recurrence relation, which gives the first term, a1a_{1} , and a formula for finding ana_{n} in terms of the previous term, an1a_{n-1} . For the recurrence relation below, what is the formula for the general term?
a1=1;an=an19a_{1}=1 ; a_{n}=\frac{a_{n-1}}{9}


A) an=(19) na_{n}=\left(\frac{1}{9}\right) ^{n}
B) an=(19) n1a_{n}=\left(\frac{1}{9}\right) ^{n-1}
C) an=19na_{n}=\frac{1}{9 n}
D) an=19(n1) a_{n}=\frac{1}{9(n-1) }

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