For each integer n ≥ 2, (₁²₂) = ² Use this statement to justify the following. (2+3)= ([ (+)- n(n-1) 2 3 (n+³)= (n + 3) (n + 2), for each integer n ≥ −1. 2 = Solution: Let n be any integer with n 2-1. Since n + 3 ≥ 2 = (equation 1). 2 n+3 By simplifying and factoring the numerator on the right hand side of this equation we conclude )-₁) , we can substitute 7+ 3 in place of n in equation 1 to obtain
For each integer n ≥ 2, (₁²₂) = ² Use this statement to justify the following. (2+3)= ([ (+)- n(n-1) 2 3 (n+³)= (n + 3) (n + 2), for each integer n ≥ −1. 2 = Solution: Let n be any integer with n 2-1. Since n + 3 ≥ 2 = (equation 1). 2 n+3 By simplifying and factoring the numerator on the right hand side of this equation we conclude )-₁) , we can substitute 7+ 3 in place of n in equation 1 to obtain
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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Transcribed Image Text:For each integer n ≥ 2,
(₁²₂) = ²
Use this statement to justify the following.
(2+3)=([
(+)-
n(n-1)
2
3
(n+³)= (n + 3) (n + 2), for each integer n 2 −1.
2
=
Solution: Let n be any integer with n 2-1. Since n + 3 ≥ 2
=
(equation 1).
2
n+3
By simplifying and factoring the numerator on the right hand side of this equation we conclude
)-₁)
, we can substitute 7+ 3
in place of n in equation 1 to obtain
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