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Question 6 (5 points) Use the following chart to develop an explicit formula for the arithmetic sequence. Choose the correct formula. Input (n) Output f(n) 1 20 16 3 4 16 12 18 14 10

Question 6 (5 points) Use the following chart to develop an explicit formula for the arithmetic sequence. Choose the correct formula. Input (n) Output f(n) 1 20 16 3 4 16 12 18 14 10

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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# Question 6 (5 points) Use the following chart to develop an explicit formula for the arithmetic sequence. Choose the correct formula. | Input (n) | Output f(n) | |-----------|-------------| | 1 | 20 | | 2 | 16 | | 3 | 12 | | 4 | 8 | | 5 | 4 | | 6 | 0 | - a) \( f(n) = 20 + 4(n - 1) \) - b) \( f(n) = 20 + (-4)(n + 1) \) - c) \( f(n) = 20 + (-4)(n - 1) \) - d) \( f(n) = 20 + 20(n - 1) \) The table provides values for the arithmetic sequence, where \( f(n) \) represents the output value associated with each input \( n \). Use these pairs of input-output values to determine the explicit formula of the sequence.
Transcribed Image Text:# Question 6 (5 points) Use the following chart to develop an explicit formula for the arithmetic sequence. Choose the correct formula. | Input (n) | Output f(n) | |-----------|-------------| | 1 | 20 | | 2 | 16 | | 3 | 12 | | 4 | 8 | | 5 | 4 | | 6 | 0 | - a) \( f(n) = 20 + 4(n - 1) \) - b) \( f(n) = 20 + (-4)(n + 1) \) - c) \( f(n) = 20 + (-4)(n - 1) \) - d) \( f(n) = 20 + 20(n - 1) \) The table provides values for the arithmetic sequence, where \( f(n) \) represents the output value associated with each input \( n \). Use these pairs of input-output values to determine the explicit formula of the sequence.
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