Is the sequence geometric? if so, identify the common ratio. 2, -4, -16, -36, a. yes; -2 b. yes; 2 c. yes; -3 d. no

Since the quotient between consecutive terms is different, the sequence is not geometric, and the correct option is:

In a geometric sequence, the quotient between consecutive terms is always the same, and it is called common ratio.

In this problem, the sequence is: {2, -4, -16, -36, ...}

Different quotients, hence not geometric, and option D is correct.

You can learn more about geometric sequences at link

No this is not the sequence geometric.

Step-by-step explanation:

Given : 2, -4, -16, -36, ...

To find : Is the sequence geometric? If so, identify the common ratio.

Solution : We have given that 2, -4, -16, -36, ...

In a Geometric Sequence each term is found by multiplying the previous term by a constant.

Geometric Sequence like this:

{a, ar, ar², ar³, ... }

On comparing

2, -4, -16, -36, ...

{ 2 , 2 ×-2, 2×(-2)², 2×(-2)³..

So we get { 2, -4, -8, -16...

Therefore , No this is not the sequence geometric.

48 sodas

Ratio of diet to regular = 6:2 = 3:1

For every 3 diet sodas sold, there was one regular soda sold

36/3 = 12

36:12 = 6:2 = 3:1

36 diet sodas and 12 regular sodas were sold

36+12=48

48 total sodas were sold that day