The sum of the natural numbers from 1 to infinity
So I sat here watching this video from @numberphile on you tube thinking this can not be true and there must be some mathematical magic to show that the sum of the natural numbers from 1 to infinity is -1/12. After watching the video I was totally left gob smacked with the explanation!
If you are not sure about how this works after watching the whole video then you must forward it to a Mathematician that you know for an explanation, as this is truly amazing : )
The video will make a great starter for any high ability group and I know what I will be doing with my top set year 11 next lesson.
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1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + . . . . . . . = -1/12!



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