Solved: Compute 41, 42, 43, 44, 45, 46, 47, and 48. Make a conjecture about the units

Chapter 5, Problem 17

(choose chapter or problem)

Compute \(4^{1}, 4^{2}, 4^{3}, 4^{4}, 4^{5}, 4^{6}, 4^{7}, and 4^{8}\). Make a conjecture about the units digit of \(4^{n}\) where n is a positive integer. Use strong mathematical induction to prove your conjecture.

Text Transcription:

4^1, 4^2, 4^3, 4^4, 4^5, 4^6, 4^7, and 4^8

4^n

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