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

Answer: B)