Let P(n) be the statement 1² +2²+ for the positive integer n. What is the inductive step? O O 2 + n = 1² + 2² + +k²= 1² + 2² + n(n+1) (2n+1) +k² 1² +2²+ k (k+ 1) (2k + 1) 6 (k+ 1) ((k+ 1) + 1) (2(k+ 1) + 1) 6 6 k (k+ 1) (2k + 1) 6 1²+ 2²+ ... + (k+ 1)² ... + (k+ 1)² = (k+ 1) ((k+1) + 1) (2(k+ 1) + 1) 6
Let P(n) be the statement 1² +2²+ for the positive integer n. What is the inductive step? O O 2 + n = 1² + 2² + +k²= 1² + 2² + n(n+1) (2n+1) +k² 1² +2²+ k (k+ 1) (2k + 1) 6 (k+ 1) ((k+ 1) + 1) (2(k+ 1) + 1) 6 6 k (k+ 1) (2k + 1) 6 1²+ 2²+ ... + (k+ 1)² ... + (k+ 1)² = (k+ 1) ((k+1) + 1) (2(k+ 1) + 1) 6
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Question
![Let P(n) be the statement
1² + 2² +
+ n =
for the positive integer n.
What is the inductive step?
1² + 2² + ... + k² =
1² + 2² +
n(n+1) (2n+1)
1² + 2² +
1² +2²+
...+k²
k (k+ 1) (2k + 1)
6
(k+ 1) ( (k+ 1) + 1) (2(k+1) + 1)
6
6
k (k+ 1) (2k + 1)
6
... + (k+1) ² =
... + (k+1) ²
(k+ 1) ( (k+ 1) + 1) (2(k+ 1) + 1)
6](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd75c580-e1ed-40e9-aa84-8dd389134e22%2Fdb58ee2c-35b3-4201-8cb5-26dc12e9052e%2F1voopx3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let P(n) be the statement
1² + 2² +
+ n =
for the positive integer n.
What is the inductive step?
1² + 2² + ... + k² =
1² + 2² +
n(n+1) (2n+1)
1² + 2² +
1² +2²+
...+k²
k (k+ 1) (2k + 1)
6
(k+ 1) ( (k+ 1) + 1) (2(k+1) + 1)
6
6
k (k+ 1) (2k + 1)
6
... + (k+1) ² =
... + (k+1) ²
(k+ 1) ( (k+ 1) + 1) (2(k+ 1) + 1)
6
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