Answer:
16384
Step-by-step explanation:
The sequence is 1, -2, 4, ...........
This is a geometric sequence with first term 1 and common ratio - 2.
Hence, the 15th term of the sequence is = [tex]1 \times (- 2)^{(15 - 1)} = (- 2)^{14} = 16384[/tex] (Answer)
The nth term of an G.P. with first term a and common ratio r is given by [tex]a\times r^{(n - 1)}[/tex]