Answer:
The sum of the first 13 terms of the sequence is -67,108,863.
Step-by-step explanation:
Sum of the first n terms of a geometric sequence:
The sum of the first n terms of a geometric sequence, with first term [tex]a_1[/tex] and ratio r, is given by:
[tex]S_n = \frac{a_1(1-r^n)}{1-r}[/tex]
In this question:
[tex]a_1 = -3, r = 4[/tex]
Sum of the first 13 terms:
[tex]S_{13} = \frac{-3(1 - 4^13)}{1-4} = -67108863[/tex]
The sum of the first 13 terms of the sequence is -67,108,863.
