Which sequence below represents an exponential sequence? A) B) {2, 6, 10, 14, 18,...} {3, 5, 9, 16, 24, ...} {4, 8, 24, 96, ...} C) D) (256, 64, 16, 4, ...} a)

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Question:**

Which sequence below represents an exponential sequence?

A) \(\{2, 6, 10, 14, 18, \ldots \}\)

B) \(\{3, 5, 9, 16, 24, \ldots \}\)

C) \(\{4, 8, 24, 96, \ldots \}\)

D) \(\{256, 64, 16, 4, \ldots \}\)

**Answer Options:**

- a)
- b)
- c)
- d)

**Question 8**:

An exponential sequence is a sequence in which each term is a constant multiple of the previous term. In these options, observe the patterns of the sequences and determine which one adheres to this rule.

- Sequence A increases by 4 each time, indicating a linear pattern.
- Sequence B does not increase by a consistent factor but rather has varying increments.
- Sequence C multiplies each term by a progressively larger number, which can potentially be an exponential pattern.
- Sequence D divides each term by a fixed number (4 in this case), indicating a geometric pattern with a common ratio, which is essentially an exponential pattern.

Thus, options C and D illustrate exponential sequences where each term is derived by multiplying or dividing the previous term by a constant factor.
Transcribed Image Text:**Question:** Which sequence below represents an exponential sequence? A) \(\{2, 6, 10, 14, 18, \ldots \}\) B) \(\{3, 5, 9, 16, 24, \ldots \}\) C) \(\{4, 8, 24, 96, \ldots \}\) D) \(\{256, 64, 16, 4, \ldots \}\) **Answer Options:** - a) - b) - c) - d) **Question 8**: An exponential sequence is a sequence in which each term is a constant multiple of the previous term. In these options, observe the patterns of the sequences and determine which one adheres to this rule. - Sequence A increases by 4 each time, indicating a linear pattern. - Sequence B does not increase by a consistent factor but rather has varying increments. - Sequence C multiplies each term by a progressively larger number, which can potentially be an exponential pattern. - Sequence D divides each term by a fixed number (4 in this case), indicating a geometric pattern with a common ratio, which is essentially an exponential pattern. Thus, options C and D illustrate exponential sequences where each term is derived by multiplying or dividing the previous term by a constant factor.
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