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What is n? Input Output -1 1 2 4 2 8 4 32 3.

What is n? Input Output -1 1 2 4 2 8 4 32 3.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
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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**What is \( n \)?** This table displays a set of input and output pairs, indicating a pattern or function: | **Input** | **Output** | |-----------|------------| | -1 | 1 | | 0 | 2 | | 1 | 4 | | 2 | 8 | | 3 | \( n \) | | 4 | 32 | The table asks for the value of \( n \), which corresponds to the output when the input is 3. Observing the pattern in the output values, each output is double the previous one: - From 1 to 2 (increases by multiplying by 2) - From 2 to 4 (increases by multiplying by 2) - From 4 to 8 (increases by multiplying by 2) - From 8 to \( n \) (continues to increase by multiplying by 2) - From \( n \) to 32 (final increase by multiplying by 2 from 16 to 32) Following this pattern, when the input is 3, the output \( n \) is calculated as: \( n = 8 \times 2 = 16 \)
Transcribed Image Text:**What is \( n \)?** This table displays a set of input and output pairs, indicating a pattern or function: | **Input** | **Output** | |-----------|------------| | -1 | 1 | | 0 | 2 | | 1 | 4 | | 2 | 8 | | 3 | \( n \) | | 4 | 32 | The table asks for the value of \( n \), which corresponds to the output when the input is 3. Observing the pattern in the output values, each output is double the previous one: - From 1 to 2 (increases by multiplying by 2) - From 2 to 4 (increases by multiplying by 2) - From 4 to 8 (increases by multiplying by 2) - From 8 to \( n \) (continues to increase by multiplying by 2) - From \( n \) to 32 (final increase by multiplying by 2 from 16 to 32) Following this pattern, when the input is 3, the output \( n \) is calculated as: \( n = 8 \times 2 = 16 \)
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