Intro to Induction Divisibility (5ⁿ - 1 is divisible by 4)

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Induction Divisibility Induction Divisibility
Prove by induction that 5^n-1 is divisible by 4. Prove by induction that 5^n-1 is divisible by 4.
Show that 5^n-1 is divisible by 4 for all n ∈ N. | mathematical induction | divisibility Show that 5^n-1 is divisible by 4 for all n ∈ N. | mathematical induction | divisibility
Induction: Divisibility Proof example 4 (x^n - 1 is divisible by x-1) Induction: Divisibility Proof example 4 (x^n - 1 is divisible by x-1)
PROOF BY PMI 5n – 1 is divisible by 4 for all integers n ≥ 1 PROOF BY PMI 5n – 1 is divisible by 4 for all integers n ≥ 1
[Mathematical Induction] - Proof that (5^n) - 1 is divisible by 4 [Mathematical Induction] - Proof that (5^n) - 1 is divisible by 4
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Induction - Divisibility Proof (Proving that 4^(n+1) + 5^(2n-1) is divisible by 21) Induction - Divisibility Proof (Proving that 4^(n+1) + 5^(2n-1) is divisible by 21)