Here's another neat piece of algebra: A technique for summing series.
You know what b - a + c - b + d - c is. Right?
Suppose I were to write the same sum as:
(b - a) +
(c - b) +
(d - c)
The answer is still d - a. Right?
Now, suppose I re-label with s 0 = a, s 1 = b, s 2 = c and s 3 = d. We end up with:
(s 1 - s 0 ) +
(s 2 - s 1 ) +
(s 3 - s 2 )
This is actually...

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Tags:
summation
algebra
series
mathematics
maths