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Sagot :
A statement 'used to demonstrate the validity of a conjecture based on the truth of a first case, the assumption of truth of a kth case, and the demonstration of truth for the (k + 1)th case' defines mathematical induction.
The correct answer is option (b) mathematical induction.
What is sigma notation?
"The sigma notation (Σ) is generally used to denote a sum of multiple terms."
What is Euler's formula?
In geometry, V − E + F = 2
where, V, E, and F are the numbers of vertices, edges, and faces of any simple polyhedron
What is n factorial?
- For a positive integer n, the n factorial is the product of all the positive numbers preceding or equivalent to n.
- n! = n × (n-1) × . . . × 1
What is mathematical induction?
- It is used to prove that an identity is valid for all integers n ≥ 1 .
- Steps to show a propositional function F(n) is true for all integers n ≥ a, where a is a fixed integer.
- F(a) is true.
- if F(k) is true for some integer k ≥ a, then F(k + 1) is also true.
For given example,
a statement 'used to demonstrate the validity of a conjecture based on the truth of a first case, the assumption of truth of a kth case, and the demonstration of truth for the (k + 1)th case' defines mathematical induction.
Therefore, the correct answer is option (b) mathematical induction.
Learn more about mathematical induction here:
https://brainly.com/question/1333684
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