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You can now check the link again ... Thank you for everything

https://www.dropbox.com/s/ukmeczmf8r889vb/discreteMaths.JPG

https://www.dropbox.com/s/6qjbadr9fo9i8g6/discreteMaths5.JPG

**Obeng**- Replies: 10

Can someone please solve the following questions with detailed explanations for me? we are to discuss it before being taught, thank you.

Question 1

Show by mathematical induction that for all n ≥ 1 , 1+2 +3+
..+n = (n(n+1))/2

Question 2

Evaluate the sum 1^2+2^2+3^2+
..+r^2 by using the generating function 1/((1-z)) =1+z+z^2+z^3+z^4+
z^r+

Question 3

Let A= { a,b,c,d,e } and R be a relation on set A such that M_R is given as :

Mr 10010

01000

00011

10000

01001

Find the transitive value of r using Warshall's theory

Question 4

In finite poset S,show that there is always at least one maximal element and one minimal element.

Question 5

Solve the recurrence equation a_n-a_(n-1)-a_(-2) =2n with a_0=0 and a_1=1

Any help is deeply appreciated

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