Showing posts with label generate. Show all posts
Showing posts with label generate. Show all posts

Friday, May 8, 2015

Seeing Pattern Seeing Relationship--- Problem Solving Skill

In my previous post(Heuristic-math-problem-solving-skill), I asked the readers to find the sum of the first $n$ terms for the series:

$1+2(1-x)+3(1-x)(1-2x)+4(1-x)(1-2x)(1-3x)+\cdots+n(1-x)(1-2x)\cdots(1-(n-1)x)$

This is one really hard math Olympiad contest problem, but fortunately logical thinking and heuristic problem solving skills are something that we can teach.