Problem 1. Let An >(3k – 2). k=1 (a) Briefly verify that the sequence (an) satisfies the linear non-homogeneous recurrence relation an = an-1+(3n – 2) and the initial condition a1 = (b) Find a formula for an by solving this recurrence relation. = 1.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Problem 1. Let
an = > (3k – 2).
k=1
(a) Briefly verify that the sequence (an) satisfies the linear non-homogeneous recurrence relation
an = an-1+(3n – 2) and the initial condition a1 = 1.
(b) Find a formula for an by solving this recurrence relation.
Transcribed Image Text:Problem 1. Let an = > (3k – 2). k=1 (a) Briefly verify that the sequence (an) satisfies the linear non-homogeneous recurrence relation an = an-1+(3n – 2) and the initial condition a1 = 1. (b) Find a formula for an by solving this recurrence relation.
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