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Given that the expression (n²+n+1) n! can be written as a(n + 2)! + b(n + 1)! + cn! where a, b, c are N constants. Which of the following is an expression for Σ(n²+n+1) n! where N is a positive integer greater than 2? (A) (N+2)!-(N+1)!-1 (B) (N+2)!-(N+1)! +1 (C) (N+2)!+ (N+1)! -1 (D) (N+2)! + (N+1)! +1 (E) None of the above

Given that the expression (n²+n+1) n! can be written as a(n + 2)! + b(n + 1)! + cn! where a, b, c are N constants. Which of the following is an expression for Σ(n²+n+1) n! where N is a positive integer greater than 2? (A) (N+2)!-(N+1)!-1 (B) (N+2)!-(N+1)! +1 (C) (N+2)!+ (N+1)! -1 (D) (N+2)! + (N+1)! +1 (E) None of the above

Advanced Engineering Mathematics
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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Given that the expression (n² +n + 1) n! can be written as a(n + 2)! + b(n + 1)! + cn! where a, b, c are N constants. Which of the following is an expression for (n²+n+1) n! where N is a positive integer greater than 2? (A) (N+2)!-(N+1)!-1 (B) (N+2)!-(N+1)! +1 (C) (N+2)!+ (N+1)! - 1 (D) (N+2)! + (N+1)! +1 (E) None of the above
Transcribed Image Text:Given that the expression (n² +n + 1) n! can be written as a(n + 2)! + b(n + 1)! + cn! where a, b, c are N constants. Which of the following is an expression for (n²+n+1) n! where N is a positive integer greater than 2? (A) (N+2)!-(N+1)!-1 (B) (N+2)!-(N+1)! +1 (C) (N+2)!+ (N+1)! - 1 (D) (N+2)! + (N+1)! +1 (E) None of the above
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