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In mathematics, a sequence of positive real numbers $\mathbf{s_1, s_2, ...}$ is called superincreasing if every element of the sequence is greater than the sum of all previous elements in the sequence. [1][2]

Formally, written:

$s_{n+1} > \sum_{j=1}^n s_j$

## Example Edit

For example, (1,3,6,13,27,52) is a superincreasing sequence, but (1,3,4,9,15,25) is not.[2] The following Python source code tests a sequence of numbers to determine if it is superincreasing:

sequence = [1,3,6,13,27,52]
sum = 0
test = True
for n in sequence:
print "Sum: ", sum, "Element: ", n
if n <= sum:
test = False
break
sum += n

print "Superincreasing sequence? ", test

Produces the following output:

Sum:  0 Element:  1
Sum:  1 Element:  3
Sum:  4 Element:  6
Sum:  10 Element:  13
Sum:  23 Element:  27
Sum:  50 Element:  52
Superincreasing sequence?  True