Respuesta :

Let see how to build up this formula that is going to give that term of rank n

1st term =a₁ = To be calculated

1st a₁   = a₁  x  r°
2nd a₂  = a₁  x  r¹
3rd a₃  =  a₁  x  r²
4th a₄   = a₁  x  r³
5th a₅   = a₁  x  r⁴
.......................
.......................
nth : a(n) = a₁  x r⁽ⁿ-¹)
Note when that the subscript of a is the same as the exponent mines 1

As per the table we have:
a₀ =3 =
a₁ =6 = 6
a₂ =12
so r =6+/3 =12/6 = 2

formula: a(n) = a₁  x r⁽ⁿ-¹) ==> a(n) = 3 x 2⁽ⁿ⁻¹⁾