Devise a recursive algorithm to find the nth term of the sequence defined by a0 =1, a1 =2, a2 = 3, and an = an-1 + an-2 + an-3 , for n = 3, 4, 5.....
Step 1 of 3
MODULE 14: INDUCTION AND RECURSIVE DEFINITION/ALGORITHM Induction/Recursive Definition Algorithm Chapter Summary Mathematical Induction Strong Induction Well-Ordering Recursive Definitions Structural Induction Recursive Algorithms → 5.1 Mathematical Induction ← Climbing an Infinite Ladder Suppose we have an infinite ladder: 1. We can reach the first rung of the ladder. 2. If we can reach a particular rung of the ladder, then we can reach the next rung. From (1), we can reach the first rung. Then by applying (2), we can reach the second rung. Applying (2) again, the third rung. And so on. We can apply (2) as many times as we feel to reach any particular rung no matter the height.
Textbook: Discrete Mathematics and Its Applications
Author: Kenneth Rosen
The answer to “Devise a recursive algorithm to find the nth term of the sequence defined by a0 =1, a1 =2, a2 = 3, and an = an-1 + an-2 + an-3 , for n = 3, 4, 5.....” is broken down into a number of easy to follow steps, and 36 words. This full solution covers the following key subjects: Algorithm, defined, devise, Find, recursive. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The full step-by-step solution to problem: 32E from chapter: 5.4 was answered by , our top Math solution expert on 06/21/17, 07:45AM. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. Since the solution to 32E from 5.4 chapter was answered, more than 428 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7.