4, 2, 1, 1/2,1/4,...2, 6, 18, 54, 162, β¦β4, β16, β64, β256, β¦
Step-by-step explanation:
A geometric sequence is defined as a sequence formed by a factor, that is, a number which multiplied with an element form the next one.
For example, the sequence 4, 2, 1, 1/2,1/4,... is a geometric sequence, where the facor is 1/2, notice that each term is half that the previous one.
And so on.
The other geomtric sequences are 2, 6, 18, 54, 162, β¦ and β4, β16, β64, β256, β¦., the first one has a factor of 3 and the second has a dactor of 4.
Therefore, the right choices are the first, third and the fourth choices.