Which statements about geometric sequences are correct? Check all that apply. In a geometric sequence, the ratio between each of the consecutive terms is the same, or constant. Multiply the common ratio by the last term to extend a geometric sequence.
The sequence 2, 8, 32, 128, . . . is geometric.
The sequence 5, 10, 15, 20, . . . is geometric.
The sequence 3, 18, 108, 648, . . . is geometric.

the 1st & 3rd sequence is correct

Step-by-step explanation:

R=a2/a1

8/2=4

2*4=8

8*4=32

32*4=128

Same for the other sequence

10/5=2

5*2=10

10*2=20 therefore this is not a geometric

Last is 18/3=6

3*6=18

18*6=108

108*6= 648

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).