Math Problem Statement
In a geometric progression the first term is a and the common ratio is r.The sum of the first two terms is 12 and the third term is 16.If the first term is larger than the second term find the value of r.
Solution
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Math Problem Analysis
Mathematical Concepts
Geometric Progression
Algebra
Quadratic Equations
Formulas
Sum of the first two terms: a + ar = 12
Third term of geometric progression: ar^2 = 16
Quadratic equation: ax^2 + bx + c = 0
Quadratic formula: r = [-b ± sqrt(b^2 - 4ac)] / 2a
Theorems
Quadratic Formula
Suitable Grade Level
Grades 9-12
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