Deneasequencea1,a2,a3,...asfollows:a1 =1,a2 =3, andak =ak1
Chapter 5, Problem 5.174(choose chapter or problem)
Deneasequencea1,a2,a3,...asfollows:a1 =1,a2 =3, andak =ak1 +ak2 forallintegersk 3.(Thissequence is known as the Lucas sequence.) Use strong mathematical induction to prove that an 7 4n for all integers n 1.
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