Determine the common ratio and find the next three terms of the geometric sequence. 10, 2, 0.4, a. 0.2; -0.4, -2, -10 b. 0.02; -0.4, -2, -10 c. 0.02; 0.08, 0.016, 0.0032 d. 0.2; 0.08, 0.016, 0.0032 select the best answer from the choices provided a) a b) b c) c d) d

Option d. 0.2; 0.08,.016,.0032 is the answer

Step-by-step explanation:

As per question the given sequence is 10,2,0.4

And we have to find the common ration of this sequence.

Common ratio r = A(2)/A(1)

                          = 2/10 = 0.2

Now we know the common ration is 0.2 is the common ratio of this sequence so we can find the next three terms of this sequence.

A(4) = A(3)×0.2 = .4×0.2 = .08

Similarly A(5) =A(4)×0.2 = 0.08×0.2 =.016

And A(6) =A(5)×0.2 = .016×.2 =0.0032

So the sequence will be 10,2,0.4,0.08,0.016,0.0032

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)