Question

Study the pattern for the following geometric sequence, and write down the next two terms.

-6, 8, -32/3

Answer 1

starting with -6, 8, -32/3, we see that the common ratio is r = -4/3
so the sequence continues with 128/9, -512/27, ...

Answer 2

The pattern for this geometric sequence is multiplying by -4.

So, the next two terms would be:
8 * -4 = -32
-32 * -4 = 128

Answer 3

You are correct. I apologize for the error in my response. The next two terms in the geometric sequence are 128/9 and -512/27. Thank you for pointing that out.