Hey CalculusAP.
Hint: Recall that (x+y)^n = Sum over k = 0 to n nCk y^k * x^(n-k) (where the coefficients of each term form the row of Pascals triangle at row n+1 if we start at n = 0 for row 1)
Write an expression for the xth row of Pascal's Triangle. You will have noticed that (x choose r)=k, k is N. Determine when k is a multiple of x.
make conclusions regarding the last result in part 2 and the form of proof by induction used in this assignment. Refine your conjecture if necessary, and prove it.
Hey CalculusAP.
Hint: Recall that (x+y)^n = Sum over k = 0 to n nCk y^k * x^(n-k) (where the coefficients of each term form the row of Pascals triangle at row n+1 if we start at n = 0 for row 1)