1.2,3,7.5,18.75, which formula can be used to describe the sequence

Answer:The formula is:[tex]a_n=1.2(\frac{5}{2})^{n-1}[/tex]Step-by-step explanation:The geometric sequences are those in which the division between the terms [tex]a_{n + 1}[/tex] and [tex]a_n[/tex] of the sequence are equal to a constant common reason called "r"The geometrics secencias have the following form:[tex]a_n=a_1(r)^{n-1}[/tex]Where [tex]a_1[/tex] is the first term of the sequenceIn this sequence we have the following terms1.2, 3, 7.5, 18.75Then notice that:[tex]\frac{3}{1.2}=\frac{5}{2}\\\\\frac{7.5}{3}=\frac{5}{2}\\\\\frac{18.75}{7.5}=\frac{5}{2}[/tex]Then:[tex]r=\frac{5}{2}[/tex]  and [tex]a_1=1.2[/tex]Finally the formula is:[tex]a_n=1.2(\frac{5}{2})^{n-1}[/tex]