Let S(n) denote the statement n(n + 1) + (n - 1)(п - 2)(n - 3) (n 4) (n -5) (n - 6) (п -7). 2 his n i=1 bho od dod Jonne Verify that the first seven natural numbers are solutions of the state- ment and explain why no other natural number is a solution. Write an open sentence with variable n and replacement set being the set of natural numbers and with the solution set the first 10,000 natural numbers.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let S(n) denote the statement
n(n + 1)
+ (n - 1)(п - 2)(n - 3) (n 4) (n -5) (n - 6) (п -7).
2 his
n
i=1
bho od dod Jonne
Verify that the first seven natural numbers are solutions of the state-
ment and explain why no other natural number is a solution.
Write an open sentence with variable n and replacement set being
the set of natural numbers and with the solution set the first 10,000
natural numbers.
Transcribed Image Text:Let S(n) denote the statement n(n + 1) + (n - 1)(п - 2)(n - 3) (n 4) (n -5) (n - 6) (п -7). 2 his n i=1 bho od dod Jonne Verify that the first seven natural numbers are solutions of the state- ment and explain why no other natural number is a solution. Write an open sentence with variable n and replacement set being the set of natural numbers and with the solution set the first 10,000 natural numbers.
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