What is the sum of the geometric sequence –4, 24, –144, … if there are 7 terms? a) 308,829 b) –159,964 c) –411,772 d) 119,973 .

Sum of the geometric sequence:
S n = a * ( 1- r^n ) / ( 1 - r )
a = - 4 ( the 1st term of the sequence ),  r = - 6,  n = 7
S 7 = (- 4 ) * ( 1 - ( - 6 )^7 )  / 1 - ( - 6 ) = ( - 4 ) * 279937 / 7 = - 159,964
B )