Respuesta :

The given is a geometric sequence where the consecutive terms have a common ratio of -5. The first term is given to be 2 and the number of terms is 6. If we are to substitute the known variables to the equation,

                            Sn = (2)(1 – (-5)^6) / (1 - -5)

The value of Sn from the equation is -5208. Thus, the sum of the first six terms of the geometric sequence is -5208.