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I watched this video on the web after a professor told me this mathematical phenomenon (http://www.youtube.com/watch?v=w-I6XTVZXww). It asserts that 1+2+3+4+5+6+7+8+9+... equals -1/12. In fact, this is the basis of String Theory, and it is agreed upon by mathematicians. Intuitively, I don't understand how adding positive numbers to infinity can equal a negative number.

Can someone simply explain this (or at least conceptualize this) to a grade 10 student? Thanks.

P.S. Here's a Wikipedia article: http://en.wikipedia.org/wiki/1_%2B_2_%2B_3_%2B_4_%2B_%E2%8B%AF