Suppose that a sequence is defined by a1 = 1, an+1 =(a, + 8). To show that a, is monotonic using mathematical induction, which of the following would be the second step? (A) Assume (ak+1+ 8) <(ar+ 8) and show that ak+1 < ak (B) Assume (ak+1+ 8) < (ar + 2+ 8) and show that ag < ak + 1 (C) Assume (ar+ 8) < (ak+1+8) and show that a < ar+ 1 (D) Assume ar < az +1 and show that (a +1+ 8) < (ak +2+ 8) (E) Assume (ar +2+ 8) < (ak+ 1 + 8) and show that ax+1 < ar (F) Assume az < ak +1 and show that (ar + 8) < (ak + 1 + 8) (G) Assume ak +1 < ak and show that (ak +2+ 8) < (ak +1+ 8) d abow that 1(a. + 8) s (a1 t 8)
Suppose that a sequence is defined by a1 = 1, an+1 =(a, + 8). To show that a, is monotonic using mathematical induction, which of the following would be the second step? (A) Assume (ak+1+ 8) <(ar+ 8) and show that ak+1 < ak (B) Assume (ak+1+ 8) < (ar + 2+ 8) and show that ag < ak + 1 (C) Assume (ar+ 8) < (ak+1+8) and show that a < ar+ 1 (D) Assume ar < az +1 and show that (a +1+ 8) < (ak +2+ 8) (E) Assume (ar +2+ 8) < (ak+ 1 + 8) and show that ax+1 < ar (F) Assume az < ak +1 and show that (ar + 8) < (ak + 1 + 8) (G) Assume ak +1 < ak and show that (ak +2+ 8) < (ak +1+ 8) d abow that 1(a. + 8) s (a1 t 8)
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter6: Exponential Functions And Sequences
Section: Chapter Questions
Problem 9CT
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I thought c but textbook says that's wrong. Appreciate any feedback :)
Transcribed Image Text:Suppose that a sequence is defined by
aj = 1,
An +1 = (a, + 8).
To show that a, is monotonic using mathematical induction, which of the following would be the second step?
(A) Assume (ar+1+8) (ak+ 8) and show that ak+1 < ak
(B) Assume (ak +1+ 8) <= (ak+ 2+ 8) and show that af < ak+1
(C) Assume (ar+ 8) < (ak+1+ 8) and show that ar < ak+ 1
(D) Assume ak < ak+1 and show that (ak+1+ 8) < ÷ (ak+2+8)
(E) Assume (ak+2+ 8) (ak+1+ 8) and show that ak+1 < ak
(F) Assume ar S ak+1 and show that (ak+ 8) < ¿ (ar+1+ 8)
(G) Assume ak +1 < ak and show that (ak+2+ 8) < (ak+1+ 8)
(H) Assume ak +1 < ar and show that (ar +1 + 8) < (ar + 8).
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