Which of the following is a geometric sequence? 1,2,4,8,16
-3,1,5,9...
4,8,24,96,480,...
O-5,0,10,25,45,...

1, 2, 4, 8, 16...

Step-by-step explanation:

To be a geometric sequence there must be a common ratio which basically means the number you multiply a term by to get the next one, and the common ratio must be the same between all terms. The only sequence that follows this is the first one.

Step-by-step explanation:

Each term of a geometric sequence is a multiple of the previous term.  For example, if the first term is 2 and the common ratio is 3, then the next term is 6; the next term is 18.  And so on.

1,2,4,8,16 fits this pattern.  The first term is 1 and each succeeding term is 2 times the previous term:  1*2 = 2; 2*2 = 4; 4*2 = 8, and so on.

b

step-by-step explanation:

constant of proportionality = 3 and the equation is c = 3p.

step-by-step explanation:

c = kp   where c = amount of caffeine in mg., p = oz of pepsi and k is the constant of proportionality.

substituting the values given:

24 = 8k

k = 3.

the same value of k will be obtained if we substitute the other given values.