Match each of the following sequence with a corresponding recursive definition. 1. an = 6n + 1 for n 20 ? ? ? ? 2. an = 6 for n ≥ 0 3. an 6" for n ≥ 0 = 4. an = 6n for n ≥ 0 = A. ao = 1 and an = B. ao 0 and an 1 and an 6 and an an-1 for n ≥ 1 C. ao = D. ao= = E. None of the above 6an-1 for n 1 an-1+6 for n ≥ 1 an-1 +6 for n ≥ 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Match each of the following sequence with a corresponding recursive definition.
?
?
?
?
<
1. an
2. an
3. an
4. an
-
=
=
=
6n + 1 for n ≥ 0
6 for n ≥ 0
6n for n ≥ 0
6n for n ≥ 0
A. ao
1 and an =
6an-1 for n ≥1
B. ao = 0 and an = an-1+6 for n ≥ 1
c. ao
1 and an
D. ao
6 and an
E. None of the above
=
-
an-1 +6 for n ≥ 1
an-1 for n ≥ 1
Transcribed Image Text:Match each of the following sequence with a corresponding recursive definition. ? ? ? ? < 1. an 2. an 3. an 4. an - = = = 6n + 1 for n ≥ 0 6 for n ≥ 0 6n for n ≥ 0 6n for n ≥ 0 A. ao 1 and an = 6an-1 for n ≥1 B. ao = 0 and an = an-1+6 for n ≥ 1 c. ao 1 and an D. ao 6 and an E. None of the above = - an-1 +6 for n ≥ 1 an-1 for n ≥ 1
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