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Chapter 12: Q 8. (page 808)

The sequence $a_{1} = 5, a_{n} = 3 a_{n - 1}$ is an example of a _____ sequence.

Short Answer

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The sequence $a_{1} = 5, a_{n} = 3 a_{n - 1}$ is an example of a recursive sequence.

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Step 1. Write the given information.

The sequence $a_{1} = 5, a_{n} = 3 a_{n - 1}$ is an example of a ______ sequence.

Step 2. Fill in the blanks.

A sequence of numbers indexed by an integer and generated by solving a recurrence equation and also known as recursive sequence.

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Most popular questions from this chapter

In Problems 29–36, the given pattern continues. Write down the nth term of a sequence $\{a_{n}\}$ suggested by the pattern.

$1, - 1, 1, - 1, 1, - 1, . . .$

In Problems 29–36, the given pattern continues. Write down the nth term of a sequence $\{a_{n}\}$ suggested by the pattern.

$1, - 2, 3, - 4, 5, - 6, . . .$

In Problems 51–60, write out each sum.

$\sum_{k = 1}^{n} (k + 2)$

If $$ 1000$ is invested at $4 %$ per annum compounded semiannually, how much is in the account after 2 years?

In Problems 51–66, determine whether each infinite geometric series converges or diverges. If it converges, find its sum.

$1 - \frac{3}{4} + \frac{9}{16} - \frac{27}{64} + . . . .$

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The sequencea1=5,an=3an-1is an example of a _____ sequence.

Short Answer

Step by step solution

Step 1. Write the given information.

Step 2. Fill in the blanks.

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Most popular questions from this chapter

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The sequence $a_{1} = 5, a_{n} = 3 a_{n - 1}$ is an example of a _____ sequence.