[tex]\displaystyle\bf\\t_1=2^3=8\\\\t_2=\sqrt{100}=10\\\\ t_3=3\times2^3=3\times8=24\\\\Metoda ~1 ~de~ verificare:\\Verificam~ratia:\\\\t2-t1=10-8=2\\t_3-t_2=24-10=14\\14\neq 2\\\implies~Nu~sunt~termeni~consecutivi~ai~unei~progresii~aritmetice.\\\\Metoda ~2 ~de~ verificare:\\Verificam~daca~t_2~este~medie~aritmetica~dintre~t_1~si~t_3:\\\\t_2=\frac{t_1+t_3}{2}\\\\10=\frac{8+24}{2}=\frac{32}{2}=16~~Fals\\ \implies~Nu~sunt~termeni~consecutivi~ai~unei~progresii~aritmetice.[/tex]
