Sequence 1: 32, 16, 0, –16, ...
We notice that 16-32 = -16 & 0-16 = -16 & -16 -(0) = -16
Hence since the common difference is d= - 16, then it's an arithmetic progression
Sequence 2: 32, 16, 8, 4, ...
We notice that 16/32 = 1/2 & 8/16 = 1/2 & 4/8 = 1/2
Hence since the common difference is r= 1/2, then it's a geometric progression