(b) Solve the recurrence an + an-1 = 2an-2 + 18n, where ao 5 and a = 6.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.1: Sequences And Summation Notation
Problem 85E
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please send handwritten solution of part b

 

Recurrence relations.
(a) Let tn be the set of strings over the symbols {a, b, c} such that any occurrence of a or b must be
followed by a c. Explicitly determine t1, t2 and t3. Also, find a general recurrence for t,n. You do not
need to solve the recurrence.
(b) Solve the recurrence an + an-1 = 2an-2 + 18n, where ao =
5 and a1 = 6.
%3D
Transcribed Image Text:Recurrence relations. (a) Let tn be the set of strings over the symbols {a, b, c} such that any occurrence of a or b must be followed by a c. Explicitly determine t1, t2 and t3. Also, find a general recurrence for t,n. You do not need to solve the recurrence. (b) Solve the recurrence an + an-1 = 2an-2 + 18n, where ao = 5 and a1 = 6. %3D
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