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Proving P(1) to be true is known as _______ .
- a)Basic Step
- b)Inductive Step
- c)Hypothesis step
- d)All of the above
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Proving P(1) to be true is known as _______ .a)Basic Stepb)Inductive S...
Explanation:
The process of mathematical induction is used to prove that a statement is true for all positive integers. It has three steps: the basic step, the inductive step, and the conclusion.
Basic Step:
The basic step is the first step in mathematical induction. It involves proving that the statement is true for the first positive integer, usually 1. This step is also known as the base case. If the statement is not true for the base case, then the proof fails.
Inductive Step:
The inductive step is the second step in mathematical induction. It involves assuming that the statement is true for some arbitrary positive integer k, and then proving that the statement is also true for the next positive integer, k+1. This step is also known as the inductive hypothesis.
Conclusion:
The conclusion is the final step in mathematical induction. It involves using the basic step and the inductive step to conclude that the statement is true for all positive integers. This step is also known as the inductive conclusion.
Therefore, proving P(1) to be true is known as the Basic Step of mathematical induction.
The process of mathematical induction is used to prove that a statement is true for all positive integers. It has three steps: the basic step, the inductive step, and the conclusion.
Basic Step:
The basic step is the first step in mathematical induction. It involves proving that the statement is true for the first positive integer, usually 1. This step is also known as the base case. If the statement is not true for the base case, then the proof fails.
Inductive Step:
The inductive step is the second step in mathematical induction. It involves assuming that the statement is true for some arbitrary positive integer k, and then proving that the statement is also true for the next positive integer, k+1. This step is also known as the inductive hypothesis.
Conclusion:
The conclusion is the final step in mathematical induction. It involves using the basic step and the inductive step to conclude that the statement is true for all positive integers. This step is also known as the inductive conclusion.
Therefore, proving P(1) to be true is known as the Basic Step of mathematical induction.
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Proving P(1) to be true is known as _______ .a)Basic Stepb)Inductive S...
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