
hey people , pls help
well i about to finish my portfolio, but having really problem
can any help me out
1.Factorize the expressions p(n)= n2 –n for Îí 2,3,4,5,ý.Determine if the expression is always divisible by the corresponding x. if divisible use mathematical induction to prove ur results by showing whether P( k+1) – P (k) is always divisible by x. using appropriate technology ,explore more cases, summarize ur results and make a conjecture for when nxn is divisible by x.
2. Explain how to obtain the entries in Pascal’s triangle. And using appropriate technology, generate the first 15 rows. State the relationship between the expressions
P (k+1) – P (k) and the Pascal’s triangle. Reconsider Ur conjecture and revise if necessary.
Write an expression for the xth row of Pascal’s triangle, you will have noticed that
(xr) =k, k ÎN. Determine when k is a multiple of x.
3. Make conclusions regarding the last result in part 2 and the form of proof by induction used in this assignment. Refine ur conjecture if necessary, and prove it.
4. State the converse of ur conjecture. Describe how u would prove whether or not the converse holds.
pls help , only the part i underline & bold
thx in advance