Explore our Solution Library

: 1953 196 2 465 1 0

Buy Alberta University Math 324 assignment solutions


Question - Math 324 Assignment 2 (due September 24)

1. (1.5, #44)(5) Show that the nth Fibonacci number fn, is even if, and only if, 3 divides n.

2. (3.3, #6)(5) If (a, b) =1 and (a, c) = 1, show that (a, bc) = 1.

3. (2 + 3 + 2) With a = 2639 and b = 2145, find
i) (a, b), ii) x, y with ax + by = (a, b), and iii) [a, b].

4. (3.5, #8)(5) Show that every positive integer is the product of a square integer and a
squarefree integer. (An integer is squarefree if it is not divisible by any square > 1).

5. (6)(Continuing problem 1.5) Is the factorization of every L-number into L-primes
unique? Why?

6. (6) Show that | ∑ 1 ≤ n ≤ N 1/n − log(N) | is a bounded function o ...Read More

Solution Preview - f of the form 3k, 3k + 1, or 3k +2 it suffices to show that f 3k, f 3k +1 − 1, and f 3k + 2 − 1 are all even for every integer k ≥ 0. Proof by induction on k with base case true since f0, f1 − 1, f2 − 1 are all 0. Let k ≥ 1, and assume the induction hypothesis for k − 1. Then (i) f3k = f3k − 1 + f3k − 2 = (f3(k − 1) +2 −

Original Question Documents

N/A

If you need help with your dissertation writing then AllAssignmentHelp.com is the best option for you. We can provide you a well-researched and well-written quality paper at very reasonable prices. Also, they are always available; you can take help from them 24/7 if you need the best writing assistance. We will provide you plagiarism-free content and that also before the deadline. We never miss any deadline. Our dissertation writing service is what you need for your paper. By taking our service you will surely get an A+.

Found What You Need?

Scroll down to find more if you need to find our more features

Place Your Order