Question 1127086


{{{T[n]=3r^(n-1)}}},where  {{{r > 0}}}  Is the {{{nth}}} term of a geometric sequence. 

compare to general formula:{{{T[n]=T[1]r^(n-1)}}}


If the third term  {{{T[3]=48}}}, we know that {{{n=3}}}, so we have

{{{48=3r^(3-1)}}}

{{{48/3=r^2}}}

{{{16=r^2}}}

{{{r=sqrt(16)}}}

{{{r=4}}}