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State whether the following statement is true or false. Justify. Let P(n) be a statement and let P(k) ⇒ P(k + 1), for some natural number k, then P(n) is true for all n ∈ N. - Mathematics

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प्रश्न

State whether the following statement is true or false. Justify.

Let P(n) be a statement and let P(k) ⇒ P(k + 1), for some natural number k, then P(n) is true for all n ∈ N.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is False.

Explanation:

Given that: P(k) ⇒ P(k + 1)

P(1) ⇒ P(2) which is not true.

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अध्याय 4: Principle of Mathematical Induction - Exercise [पृष्ठ ७२]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
अध्याय 4 Principle of Mathematical Induction
Exercise | Q 30 | पृष्ठ ७२

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