2. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2+ 5, express an in terms of n. 3. Let, a, = 3, a2= 4 and for n 2 3, a, = 2a,-1 + an-2 + n + 1, express a, in terms of n. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.5: The Binomial Theorem
Problem 14E
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Need 2,3,4 Answer using Recursion (Discrete Mathematics)
Recursion
2. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + 5, express a, in terms of n.
3. Let, a, = 3, a2 = 4 and for n2 3, a, = 2a,-1+ an-2 + n + 1, express a, in terms of n.
%3D
%3D
4. Let, a, = 1, az = 2, b, = 0, b2 = 1,
%3D
%3D
for n > 3,
an = 2an-1+ bn-1
for n 2 2
bn = bn-1+ an-1
express a, in terms of n.
Transcribed Image Text:Recursion 2. Let, a, = 3, a2 = 4 and for n2 3, a, = 2an-1+ an-2 + 5, express a, in terms of n. 3. Let, a, = 3, a2 = 4 and for n2 3, a, = 2a,-1+ an-2 + n + 1, express a, in terms of n. %3D %3D 4. Let, a, = 1, az = 2, b, = 0, b2 = 1, %3D %3D for n > 3, an = 2an-1+ bn-1 for n 2 2 bn = bn-1+ an-1 express a, in terms of n.
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