# Stewart's Sequences 4 of 5

Algebra Level 2

Given the following sequence of numbers:

$$27,\quad 41,\quad 69,\quad 125,\quad 237\quad ...$$

Considering the common ratio is 2, the $$n^{th}$$ term can be expressed as $$a\times 2^n + b$$.

Find $$\frac { \left| a-b \right| }{ a+b }$$

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