Let (M) be the statement P(n), n 2 1 where P(n) is 2[1+3+32 + ·.+ 3"] = 3n+1 – 1. (M) is a false statement because P(101) is false. (M) is a true statement because P(1) and P(2) are both true. None of these (M) is a true statement by using Mathematical induction. 2[1+3+3? + .+ 3*] = 3*+1 – 1 %3D then P(k+1) is not true. O (M) is false because if
Let (M) be the statement P(n), n 2 1 where P(n) is 2[1+3+32 + ·.+ 3"] = 3n+1 – 1. (M) is a false statement because P(101) is false. (M) is a true statement because P(1) and P(2) are both true. None of these (M) is a true statement by using Mathematical induction. 2[1+3+3? + .+ 3*] = 3*+1 – 1 %3D then P(k+1) is not true. O (M) is false because if
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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![Let (M) be the statement P(n), n 2 1 where P(n) is
2[1+3 + 32 + ...
+ 3"] = 3n+1 –- 1.
(M) is a false statement because
P(101) is false.
(M) is a true statement because P(1)
and P(2) are both true.
None of these
(M) is a true statement by using
Mathematical induction.
2[1+3+32 + -.+ 3*] = 3*+1 – 1
...
then P(k+1) is not true.
(M) is false because if](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e121f81-d56e-4c79-bd8d-a9b6e5b461f1%2F8200719e-f5fd-4c8d-8515-6a342d0b3c95%2Fh1ol85k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let (M) be the statement P(n), n 2 1 where P(n) is
2[1+3 + 32 + ...
+ 3"] = 3n+1 –- 1.
(M) is a false statement because
P(101) is false.
(M) is a true statement because P(1)
and P(2) are both true.
None of these
(M) is a true statement by using
Mathematical induction.
2[1+3+32 + -.+ 3*] = 3*+1 – 1
...
then P(k+1) is not true.
(M) is false because if
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