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Use the following chart to develop an explicit formula for the geometric sequence. Choose the correct formula. Input (n) Output (n) 1 4 2 3 16 32 5 64 6. 128 f (n) = 4 * 40-1 b a f(n) = 4 * 2n-1 f(n) = 4 * 2n+1 d f (n) = 4 * 2"

Use the following chart to develop an explicit formula for the geometric sequence. Choose the correct formula. Input (n) Output (n) 1 4 2 3 16 32 5 64 6. 128 f (n) = 4 * 40-1 b a f(n) = 4 * 2n-1 f(n) = 4 * 2n+1 d f (n) = 4 * 2"

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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Use the following chart to develop an explicit formula for the geometric sequence. Choose the correct formula. | Input (n) | Output (f(n)) | |-----------|---------------| | 1 | 4 | | 2 | 8 | | 3 | 16 | | 4 | 32 | | 5 | 64 | | 6 | 128 | Options: - a) \( f(n) = 4 \times 4^{n-1} \) - b) \( f(n) = 4 \times 2^{n-1} \) - c) \( f(n) = 4 \times 2^{n+1} \) - d) \( f(n) = 4 \times 2^n \)
Transcribed Image Text:Use the following chart to develop an explicit formula for the geometric sequence. Choose the correct formula. | Input (n) | Output (f(n)) | |-----------|---------------| | 1 | 4 | | 2 | 8 | | 3 | 16 | | 4 | 32 | | 5 | 64 | | 6 | 128 | Options: - a) \( f(n) = 4 \times 4^{n-1} \) - b) \( f(n) = 4 \times 2^{n-1} \) - c) \( f(n) = 4 \times 2^{n+1} \) - d) \( f(n) = 4 \times 2^n \)
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