the first term of a sequence of numbers is 1. if each term after the first is the product of -2 and the preceding term, what is the sixth term of the sequence

The best way to get this is just to list the terms out:

- 1
- 1(–2) = –2
- –2(–2) = 4
- 4(–2) = –8
- –8(–2) = 16
- 16(–2) = –32

So the 6th term is –32.

This is an old SAT question, though. The new SAT does not appear to be interested in questions like this. I encourage you to use up-to-date materials!