Proof by Induction: 4^n - 1 is a Multiple of 3

Induction Divisibility

2^n + 2^n+1 + 2^n+2 is a Multiple of 7

Show that: `2^(4n)-2^n(7n+1)` is some multiple of the square of 14, where n is a positive integer.

#23 Proof Principle of Mathematical Induction 4n^2 +12n is divisible by 8 mathgotserved induccion

Proving that for all positive integers n,that 14 divides 3^(4n+2)+5^(2n+1).

Show that: `2^(4n)-2^n(7n+1)` is some multiple of the square of 14, where n is a positive integer.

Is n^4+6n^3+11n^2+30n-24 a multiple of 24 for all integer number n?

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Prove 11^n- 4^n is a multiple of 7. Principle of Mathematical Induction

4.iii) n(n+1)(n+2) is multiple of 6 Prove by method of mathematical induction. Class12 Chapter 5 all

n! greater than 2^n for n greater or = 4 ; Proof by Mathematical induction inequality, factorial.

Mathematical Induction 4^n-1 is divisible by 3 for all n greater than or equal to 1

4. Proof of n(n+1)(n+2) as an Integer Multiple of 6

`n^4-4n^2`,3 is divisible by 3 `AA n geq 2`

Asymptotic Notation 3 - Example of Big O Notation

Find the value of: (-1)n + (-1)2n + (-1)2n+1 + (-1)4n+2, where n is any positive odd integer. (a)

`1.3+3.5+5.7+......+(2n-1)(2n+1)=(n(4n^2+6n-1))/3`

Mathematical Induction | Show that (n³+2n) is divisible by 3

Prove n(n^2+5) is a multiple of 6. Principle of Mathematical Induction