Question No 06 | Exercise 7.1 | Chapter 7 | Mathematical Induction | Discrete Mathematics

Question No 06 | Exercise 7.1 | Chapter 7 | Mathematical Induction | Discrete Mathematics

Mathematical Induction And Binomial Theorem

Book Name :
Discrete Mathematics with Applications

By :
DR. Abdur Rehman
DR. Shahid Mubeen
DR. Muhammad Imran Chaudhary
Prof. Basit Rahman Mughal

Chapter Number : 07
Chapter Name : Mathematical Induction And Binomial Theorem

Lecture Number : 07
By (Name) : Awais Rasool

Exercise Number : 7.1
Question Number : 06
Example Number : 00

Awais Rasool Shah

Topics Name :

1)Mathematical Induction
2) Binomial Theorem

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Definition:
When proving a formula using mathematical induction, we use the following process:
First, show the formula works for 𝑛 = 1.
Next, assume the formula is true for the first 𝑘 terms.
Then, show that the formula is true for the first 𝑘+1 terms.
Question No.: 06
Use the mathematical induction to prove the following formulae for every position integer 𝑛.
5^𝑛−2^𝑛 𝑖𝑠 𝑑𝑖𝑣𝑖𝑠𝑖𝑏𝑙𝑒 𝑏𝑦 3.

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