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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


Please select the best answer from the choices provided

a) A
b) B
c) C
d) D

Relax

Respuesta :

Answer:

Answer: 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)Ă—0.2 = .4Ă—0.2 = .08

Similarly A(5) =A(4)Ă—0.2 = 0.08Ă—0.2 =.016

And A(6) =A(5)Ă—0.2 = .016Ă—.2 =0.0032

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

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