Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 16,8,4,

Answer 1

Each succeeding term is being decreased by a factor of 1/2, so this means the common ratio is r=1/2, which makes this a geometric sequence.

Answer 2

geometric sequence with common ratio = 1/2

16,8,4,2,1,1/2,14/,1/8, 1/16, 1/32 ...

a1 =16

an = a1(r^(n-1))

a4 = 16(r^3) = 16(1/2)^3 = 16(1/8) = 2 = the 4th term of the sequenc