Question

tell whether the sequence 1/3, 0, 1, -2 is arithmetic, geometric, or neither.
Find the next 3 terms of the sequence.

Answer 1

The series is probably neither arithmetic nor geometric. What I could figure out was the following pattern of additions to each of the terms:
-1/3 (added to 1/3 gives 0)
+1 (added to 0 gives 1)
-3 (added to 1 gives -2)
So next 3 additions should be
+9 (added to -2 gives +7)
-27 (added to 7 gives -20)
+81 (added to -20 gives +61)

So next 3 terms--> 7,-20,61

Answer 2

thank you so much!