This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
7
Step 1: Analyze the given input and output pairs to find the rule. • When the input is 1, the output is 2. • When the input is 2, the output is 4. • When the input is 5, the output is 10.
Step 2: Determine the function rule. In each case, the output is twice the input. So, the rule is "multiply by 2". We can write this as .
Step 3: Use the rule to find the missing input 'A'. We are given that the output for input 'A' is 14. So, we set up the equation:
Step 4: Solve for A. Divide both sides by 2:
The number that should replace A is .
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Analyze the given input and output pairs to find the rule. • When the input is 1, the output is 2.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.