Definition
A geometric progression is a sequence where each next term is obtained by multiplying by the same number q≠0q\neq 0 (the common ratio). Recursively: bn+1=bn⋅qb_{n+1}=b_n\cdot q, b1≠0b_1\neq 0. If ∣q∣>1|q|>1 the absolute values often grow; if 0<∣q∣<10<|q|<1 they tend to zero. The sign alternates if q<0q<0.
The ratio of neighbours is constant: bn+1bn=q\dfrac{b_{n+1}}{b_n}=q (where the denominator is nonzero)
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