24. Define f: J→ J by f(1) = 1, f(2)= 2, f(3) = 3, and f(n) = f(n − 1) + f(n − 2) +f(n-3) for n ≥ 4. Prove that f(n) ≤ 2" for all n EJ.125. Define f: J→ J by f(1) = 2 and, for n ≥ 2, f(n) = V3 + f(n − 1). Prove that f(n) < 2.4for all n E J. You may want to use your calculator for this exercise.

Answered: Image /qna-images/answer/01dc3462-c500-4df9-acb8-647f5d56f07c.jpg

24. Define f: JJ by f(1) = 1, f(2)= 2, f(3) = 3, and f(n) = f(n - 1) + f(n − 2) + f(n-3) for n ≥ 4. Prove that f(n) ≤ 2" for all n E J. - 25. Define f: J →→J by f(1) = 2 and, for n ≥ 2, f(n) = √3+ f(n - 1). Prove that f(n) < 2.4 for all n E J. You may want to use your calculator for this exercise.

24. Define f: JJ by f(1) = 1, f(2)= 2, f(3) = 3, and f(n) = f(n - 1) + f(n − 2) + f(n-3) for n ≥ 4. Prove that f(n) ≤ 2" for all n E J. - 25. Define f: J →→J by f(1) = 2 and, for n ≥ 2, f(n) = √3+ f(n - 1). Prove that f(n) < 2.4 for all n E J. You may want to use your calculator for this exercise.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 30EQ

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