NCERT Solutions for Class 11 Maths Chapter 4

NCERT Solutions for Class 11 Maths Chapter 4 Principle of Mathematical Induction गणितीय आगमन का सिद्धांत PDF form to free download. These NCERT Solutions are useful for all the students CBSE Board, Uttarakhand Board, MP Board, UP Board, Bihar Board and all other board who are following NCERT Books based on new CBSE Curriculum 2018-2019.

NCERT Solutions for Class 11 Maths Chapter 4

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Chapter 4 Principle of Mathematical Induction Solutions

Important Terms on Mathematical Induction

  • A meaningful sentence which can be judged to be either true or false is called a statement.
  • A statement involving mathematical relations is called as mathematical statement.
  • Induction and deduction are two basic processes of reasoning.
    • Deduction: It is the application of a general case to a particular case. In contrast to deduction, induction is process of reasoning from particular to general.
    • Induction: Induction being with observations. From observations we arrive at tentative conclusions called conjectures. The process of induction help in proving the conjectures which may be true.

  • Principle of mathematical Induction:
    • Let P(n) be any statement involving natural number n such that
      1. P(1) is true, and
      2. If P(k) is true as well as P(k + 1) is true for some natural number k, i.e. P(k + 1) is true whenever P(k) is true for some natural number k, then P(n) is true for all natural numbers.

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