Which of the following sequences are geometric? check all that apply. asapasapasapasap; (

B and D

Step-by-step explanation:

6 times 3 equals 18

18 times 3 equals 54

54 times 3 equals 162

 The correct options are

(B) 6,  18,  54,  162,  486,  .  .  .

(D) -4,,-2,  -1,  -0.5,  -0.25,  -0.125,  .  .  .

Step-by-step explanation:  We are given to select all the sequences that are geometric.

We know that a sequence <a(n)> is geometric is there exists a common ratio r such that

Option (A) :

Here, the given sequence is

2,  5,  8,  11,  14,  17,  .  .  .

We see that

So, this sequence is not geometric and the option (A) is not correct.

Option (B) :

Here, the given sequence is

6,  18,  54,  1562,  486,  .  .  .

We see that

So,

Therefore, the sequence is a geometric sequence and so the option (B) is CORRECT.

Option (C) :

Here, the given sequence is

2,  3,  5,  8,  13,  21,  .  .  .

We see that

So, this sequence is not geometric and the option (C) is not correct.

Option (D) :

Here, the given sequence is

-4,  -2,  -1,  -0.5,  -0.25,  -0.125,  .  .  .

We see that

So,

Therefore, the sequence is a geometric sequence and so the option (B) is CORRECT.

Thus, (B) and (D) are the correct options.

step-by-step explanation: yes