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Sagot :
Answer:
x ≈ 0.17
Step-by-step explanation:
There is a common ratio r between consecutive terms in a geometric sequence, that is
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{a_{3} }{a_{2} }[/tex] , substitute values
[tex]\frac{2x+1}{x}[/tex] = [tex]\frac{4x+10}{2x+1}[/tex] ( cross- multiply )
x(4x + 10) = (2x + 1)² ← expand using FOIL
4x² + 10x = 4x² + 4x + 1 ( subtract 4x² + 4x from both sides )
6x = 1 ( divide both sides by 6 )
x = [tex]\frac{1}{6}[/tex] ≈ 0.17 ( to the nearest hundredth )
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