Problem 2. Find a closed formula for the sequence with recursive definition an = 2an-1- an-2 with a₁ = 1 and a₂ = 2. Hint: You write out the sequence, guess a closed formula, and then verify that you are correct.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 69SE: Find a recursive formula for the sequence 1,0,1,1,0,1,1,0,1,1,0,1,1,... (Hint: find a pattern for an...
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Problem 1 Show that
rence relation an
Problem 2. Find a closed formula for the sequence with recursive definition an = 2an-1-
an-2 with a₁ = 1 and a₂ = 2.
Hint: You write out the sequence, guess a closed formula, and then verify that you are correct.
Transcribed Image Text:Problem 1 Show that rence relation an Problem 2. Find a closed formula for the sequence with recursive definition an = 2an-1- an-2 with a₁ = 1 and a₂ = 2. Hint: You write out the sequence, guess a closed formula, and then verify that you are correct.
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