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. 1(–2) = –2
  3. –2(–2) = 4
  4. 4(–2) = –8
  5. –8(–2) = 16
  6. 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!

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