Question

Determinati numărul real x stiind ca numerele x+1 , 2x-3 si x-4 sunt termeni consecutivi ai unei progresii geometrice​

Answer 1

$\it 2x+3=\dfrac{x+1+x-4}{2} \Rightarrow 2x+3=\dfrac{2x-3}{2} \Rightarrow 4x+6=2x-3 \Rightarrow \\ \\ \\ \Rightarrow 4x-2x=-3-6 \Rightarrow 2x=-9\Rightarrow x=-4,5$