MathCastle
Proof WritingMediumInduction

Induction · Medium problem

To prove 3∣4n+53 \mid 4^n + 5 for all n≥0n \ge 0, the inductive step writes 4k+1+5=4(4k+5)−c4^{k+1} + 5 = 4(4^k + 5) - c. What is cc?