Question

Determine if the sequence is arithmetic or geometric. Then find the next term in the sequence. Select all that apply. 1, -4, 16, -64, …

1. arithmetic
2. geometric
3. 128
4. 256

Answer 1

Hello,


`u_(1) =1\\\\ u_(2) =-4=1*(-4)= u_(1) *(-4)\\\\ u_(3) =16=(-4)*(-4)= u_(2) *(-4)\\\\ u_(4) =-64=16*(-4)= u_(3) *(-4)\\\\ u_(5) =(-64)*(-4)= 256=u_(4) *(-4)\\\\`
The sequence is geometric of ratio -4.

Answer 2 and 4 are good. others false