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Use the following chart to develop an explicit formula for the arithmetic sequence. Choose the correct formul Input (n) Output f(n) 1 20 3 4 5 6 OO a b C Od 16 12 18 10 f(n) = 20 + 4(n-1) f(n) = 20 +-4(n + 1) f(n) = 20 +-4(n-1) f(n) = 20+20(n-1)

Use the following chart to develop an explicit formula for the arithmetic sequence. Choose the correct formul Input (n) Output f(n) 1 20 3 4 5 6 OO a b C Od 16 12 18 10 f(n) = 20 + 4(n-1) f(n) = 20 +-4(n + 1) f(n) = 20 +-4(n-1) f(n) = 20+20(n-1)

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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## Development of Explicit Formula for Arithmetic Sequence ### Instructions: Use the following chart to develop an explicit formula for the arithmetic sequence. Choose the correct formula. ### Data Table: | Input (n) | Output f(n) | |-----------|-------------| | 1 | 20 | | 2 | 16 | | 3 | 12 | | 4 | 8 | | 5 | 4 | | 6 | 0 | ### Options: a) \( f(n) = 20 + 4(n - 1) \) b) \( f(n) = 20 + (-4)(n + 1) \) c) \( f(n) = 20 + (-4)(n - 1) \) d) \( f(n) = 20 + 20(n - 1) \) ### Analysis: To determine the explicit formula for the arithmetic sequence, we should analyze the given chart and identify the pattern in the output values. After examining the data provided in the table, identify which formula correctly represents the sequence.
Transcribed Image Text:## Development of Explicit Formula for Arithmetic Sequence ### Instructions: Use the following chart to develop an explicit formula for the arithmetic sequence. Choose the correct formula. ### Data Table: | Input (n) | Output f(n) | |-----------|-------------| | 1 | 20 | | 2 | 16 | | 3 | 12 | | 4 | 8 | | 5 | 4 | | 6 | 0 | ### Options: a) \( f(n) = 20 + 4(n - 1) \) b) \( f(n) = 20 + (-4)(n + 1) \) c) \( f(n) = 20 + (-4)(n - 1) \) d) \( f(n) = 20 + 20(n - 1) \) ### Analysis: To determine the explicit formula for the arithmetic sequence, we should analyze the given chart and identify the pattern in the output values. After examining the data provided in the table, identify which formula correctly represents the sequence.
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