how that an = 2n+1 is a solution to the recurrence relation an = 2an-1-1 with a₁ =3.
how that an = 2n+1 is a solution to the recurrence relation an = 2an-1-1 with a₁ =3.
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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![11. Show that
an=2+1 is a solution to the recurrence relation
an= 2an-1-1 with a₁ =3.
12. Consider 25 = 1 (mod 3) and 11 = 2 (mod 3),
If 25* 11* = 4 mod 3, find x.
13. Prove that the sum of the first n even positive integers is n(n-1)
[0+2+4+6+....…..…….……………...]
rove by mathematical induction that for every positive integer n,
is divisible by 3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F098c8ebf-2d2f-4a74-bb9c-fcf91b74a3cd%2Fe51a07c0-c868-4bbd-942f-7c3df38e1880%2F88kk9ns_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11. Show that
an=2+1 is a solution to the recurrence relation
an= 2an-1-1 with a₁ =3.
12. Consider 25 = 1 (mod 3) and 11 = 2 (mod 3),
If 25* 11* = 4 mod 3, find x.
13. Prove that the sum of the first n even positive integers is n(n-1)
[0+2+4+6+....…..…….……………...]
rove by mathematical induction that for every positive integer n,
is divisible by 3.
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