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20. Sequences, Series & Induction

Geometric Sequences

20. Sequences, Series & Induction

Geometric Sequences

Multiple Choice
What is the common ratio of the geometric sequence $3, 6, 12, 24, \dots$ ?
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Multiple Choice
When is a sequence ${a_{n}}$ geometric?
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Multiple Choice
Which of the following sequences is geometric?
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Multiple Choice
What is the next term in the geometric sequence $9, 3, 1, \frac{1}{3}, ...$ ?
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Multiple Choice
Which description best represents the graph of a geometric sequence $a r_{n}$ with $a \neq 0$ and $r > 1$ when plotted as discrete points $(n, a_{n})$ ?
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Multiple Choice
Write a recursive formula for the geometric sequence $\left\lbrace18,6,2,\frac23,\ldots\right\rbrace$ .
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Multiple Choice
Find the $10^{\th}$ term of the geometric sequence in which $a_1=5$ and $r=2$ .
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Multiple Choice
Write a formula for the general or $n^{\th}$ term of the geometric sequence where $a_7=1458$ and $r=-3$ .
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