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Summary - Proof by induction
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  • Course
  • Algorithmics
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  • 12th Grade

Enhance your understanding and proficiency in Proof by Induction with our meticulously crafted notes. These comprehensive notes serve as an invaluable resource for students, academics, and professionals seeking to master this essential mathematical proof technique.

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  • May 28, 2023
  • 2
  • 2022/2023
  • Summary

Subjects

  • computing
  • programming
  • coding
  • computer science

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  • Secondary school
  • Algorithmics
  • 8
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Proof by Induction
course Algorithmics

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Proof by Induction
Proof by induction is a mathematical technique used to prove that a statement is true
for all natural numbers. It involves two steps:

1. Base case: Proving that the statement is true for the first natural number (usually
1).

2. Inductive step: Proving that if the statement is true for any given natural number,
then it is also true for the next natural number.

This technique is commonly used to prove statements about integers, such as the
sum of the first n natural numbers or the properties of Fibonacci numbers.

Some formatting tips to keep in mind when writing a proof by induction include
clearly stating the statement being proved, clearly stating the base case, using clear
and concise language, and using mathematical notation as appropriate.




Proof by Induction 1

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