(4) Use a proof by induction to prove that if {a,,) is a sequence satisfying the recursive formula a12= 4a1 -3a,, for all nЄ N with first term ao = 1 and second term a =3, then {an} has the closed formula a,, =3".

(4) Use a proof by induction to prove that if {a,,) is a sequence satisfying the recursive formula a12= 4a1 -3a,, for all nЄ N with first term ao = 1 and second term a =3, then {an} has the closed formula a,, =3".

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.2: Sequences, Series And Summation Notation

Problem 42E

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Question

not use ai please

(4) Use a proof by induction to prove that if {a,,) is a sequence satisfying the recursive
formula a12=
4a1 -3a,, for all nЄ N with first term ao = 1 and second term
a =3, then {an} has the closed formula a,, =3".

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