1. Find the first five terms of a sequence a1, a2, .an,. satisfying the given Recurrence relation and initial conditions: (a) an = an-1 + 4, if n > 1, áo =1) 6) an = an-1 + 2n, if n 1, a, = 5 v (c) an = 2an-1 +n², if n2 1, a, = 1 (d) an = an-1 + 4an-2, if n > 2, ao = 1, a1 = 2 (e) an = 7an-1 – 12an-2 + 6, if n2 2, ao = 5, a, = 2 (E) an = an-1 + an-2 + n, if n2 2, ao = -1, a = 1 (h) an = 2an-1 + an-2 + an-3, %3D = Homer %3D if n2 3, ao = 2, a, =1 and az = 1
1. Find the first five terms of a sequence a1, a2, .an,. satisfying the given Recurrence relation and initial conditions: (a) an = an-1 + 4, if n > 1, áo =1) 6) an = an-1 + 2n, if n 1, a, = 5 v (c) an = 2an-1 +n², if n2 1, a, = 1 (d) an = an-1 + 4an-2, if n > 2, ao = 1, a1 = 2 (e) an = 7an-1 – 12an-2 + 6, if n2 2, ao = 5, a, = 2 (E) an = an-1 + an-2 + n, if n2 2, ao = -1, a = 1 (h) an = 2an-1 + an-2 + an-3, %3D = Homer %3D if n2 3, ao = 2, a, =1 and az = 1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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