examsamples - Here is a list of questions I have asked on...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Here is a list of questions I have asked on previous exams pertaining to topics covered so far in this course as well as some new questions I have created. Note that just because a topic from those sections is not represented here, does not mean it will not be tested on. This list is simply meant to be representative. Solve the following recurrence relation a n = 5 a n - 1 - 6 a n - 2 + (7 - 2 n )2 n - 1 a 0 = 2 a 1 = 1 . Let a n = 4 a n - 1 + 8 a n - 2 + 7 a n - 3 , with a 0 = 0, a 1 = 1, and a 2 = - 1 Find the generating function for a n . Solve a n = 3 a n - 1 - 2 a n - 2 - n 2 n when a 0 = - 2 and a 1 = - 1. Find generating functions for a n and b n , where a 0 = 1, b 0 = 3, and a n = a n - 1 - 3 b n - 1 b n = - a n - 1 + 2 b n - 1 . Find a n for n 2, when a 2 = 4 ,a 3 = 5 and a n = a n - 1 + 6 a n - 2 , for n 4. Evaluate the sum 54 i =0 54 - i j =0 54 - j - k k =0 54! i ! j ! k !(54 - i - j - k )! 2 i 3 j ( - 3) 54 - i - j - k Prove that for all n 0, ( n +1) 2 k = n 2 +1 k = n 3 + ( n + 1) 3 .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/08/2009 for the course MATH 2602 taught by Professor Costello during the Spring '09 term at Georgia Institute of Technology.

Page1 / 3

examsamples - Here is a list of questions I have asked on...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online