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Use the sequence {−1,171,875;−234,375;−46,875;−9375,…} to answer the question.What is the explicit rule that describes the sequence?

Use The Sequence 1171875234375468759375 To Answer The QuestionWhat Is The Explicit Rule That Describes The Sequence class=

Sagot :

Given the sequence:

[tex]\mleft\{-1,171,875;-234,375;-46,875;-9375,\ldots\mright\}[/tex]

Each subsequent number can be calculated using a division by 5. Then, the common ratio of the (geometric) sequence is 1/5, and the initial value is −1,171,875. The explicit rule of the sequence is:

[tex]\begin{gathered} a_n=a_0\cdot r^{n-1} \\ a_0=-1,171,875 \\ r=\frac{1}{5} \\ \\ \therefore a_n=-1,171,875\cdot(\frac{1}{5})^{n-1} \end{gathered}[/tex]

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