). Let k > 1 be a positive number. Consider the sequence ofQuestion 1 (Rect...vnvedigits an for n >1 defined by a1 = a2 = ... = ak = 1 and an is the last digit of an-1 + an-k for all n > k.Prove that there is some integer N so that an = aN+1 =...= aN+k-2 = 0.Hint: Show that the function that takes (an, an+1, . . . , an+k-1) to (an+1, An+2, · . . , ɑn+k) is a permutationof {0,1, 2, ...,9}*. Consider the cycle containing (1, 1, ..., 1).

Given that, a1=a2=...=ak=1 and an is a last digit of an-1+an-k for all n>k. The function takes,…

). Let k > 1 be a positive number. Consider the sequence of = ak = 1 and an is the last digit of an-1 + an-k for all n > k. Question 1 (Recu..vnvo digits an for n >1 defined by a1 = a2 = ... Prove that there is some integer N so that an = Hint: Show that the function that takes (an, an+1, . .. , ɑn+k=1) to (an+1, an+2, · . , ɑn+k) is a permutation of {0, 1, 2, ... , 9}*. Consider the cycle containing (1, 1, ., 1). aN+1 =...= = aN+k-2 = 0. %3D

). Let k > 1 be a positive number. Consider the sequence of = ak = 1 and an is the last digit of an-1 + an-k for all n > k. Question 1 (Recu..vnvo digits an for n >1 defined by a1 = a2 = ... Prove that there is some integer N so that an = Hint: Show that the function that takes (an, an+1, . .. , ɑn+k=1) to (an+1, an+2, · . , ɑn+k) is a permutation of {0, 1, 2, ... , 9}*. Consider the cycle containing (1, 1, ., 1). aN+1 =...= = aN+k-2 = 0. %3D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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