Superincreasing sequence

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

Formally, written:

${\displaystyle s_{n+1}>\sum _{j=1}^{n}s_{j}}$

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

This produces the following output:

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