A Geometric-Arithmetic Mix

★ 6/10Quadratic Equations algebra sequences Vieta's Formulas

Problem

The numbers $a, b, c$ form a geometric sequence, and $a, \dfrac{b(b-1)}{2}, c$ form an arithmetic sequence. If $1 < a < 3 < c < 7$ , find the range of possible values of $b$ .

Answer

Solution

Difficulty	6/10
Topics	Quadratic Equations, algebra, sequences, Vieta's Formulas

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