Recent content by mweaver68

Thanks. That's what I was forgetting. I needed to add a 0 to the end of the equation. :redface:

Here is the problem I am working on: Find the quotient and remainder when P(x) = 7 x^6 - 9 x^5 + 8 x^4 + 9 x^3 + 4 x^2 - 6 x is divided by (x + 5). My answer that I came up with is this. Q = 7x^5 - 44x^4 + 228x^3 - 1131x^2 + 5659x R = -28301x I have done this using Long and Synthetic...

Thanks for the reply. You stated "1/2+ 1/6+ 1/12+ ...+ 1/[k(k+1)]+ 1/[(k+1)((k+1)+1)]= k/(k+1)+ 1/[(k+1)(k+2)." but I am not sure how you got the right side of this. I thought when trying to prove P(k+1), you substitute k+1 for all k's on the right side. so why isn't it (k+1) / [(k+1) + 1]?

trying to prove the following 1/1*2 + 1/2*3 + 1/3*4 +...+ 1/n(n+1) = n/n+1 Prove P(1) true: 1/1*2 = 1/1+1 = 1/2 Assume P(k) true: 1/2 + 1/6 + 1/12 + ... + 1/k(k+1) = k/(k+1) trying to prove P(k+1) true: step 1: 1/2 + 1/6 + 1/12 + ... + 1/k(k+1) + 1/(k+1)[(K+1)+1] =...