Example 9.7.1 showed that the following statement is true:For each integer n ≥ 2, Example 9.7.1 showed that the following statement is true:For each integer n2 2,n(n - 1)(equation 1).=2Use this statement to justify the following.(:)-n + 3(n + 3)(n + 2), for each integer n2 -1.n + 12Solution: Let n be any integer with n 2 -1. Since n + 3 2, we can substituteinplace of n in equation 1 to obtain(:))-)n + 3=n + 1By simplifying and factoring the numerator on the right hand side of this equation we conclude(:::)-!n + 3n + 12.

Answered: Image /qna-images/answer/a4aab09b-b8e9-470a-b373-38fe51b95564.jpg

Example 9.7.1 showed that the following statement is true: For each integer n2 2, n(n – 1) („-2) - (equation 1). 2 Use this statement to justify the following. (:) - n + 3 n + 1 (n + 3)(n + 2) , for each integer n 2 -1. Solution: Let n be any integer with n 2 -1. Since n + 3 2 , we can substitute in place of n in equation 1 to obtain (:::) - (L XC )-). n + 3 n + 1 2 By simplifying and factoring the numerator on the right hand side of this equation we conclude (*::)-L n + 3 n + 1

Example 9.7.1 showed that the following statement is true: For each integer n2 2, n(n – 1) („-2) - (equation 1). 2 Use this statement to justify the following. (:) - n + 3 n + 1 (n + 3)(n + 2) , for each integer n 2 -1. Solution: Let n be any integer with n 2 -1. Since n + 3 2 , we can substitute in place of n in equation 1 to obtain (:::) - (L XC )-). n + 3 n + 1 2 By simplifying and factoring the numerator on the right hand side of this equation we conclude (*::)-L n + 3 n + 1

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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