3 years ago

Tell whether the following is geometric or not, if geometric find r

Mathematics

1 answer:

fiasKO [112]3 years ago

8 0

Answer:

yes
r = - 3

Step-by-step explanation:

We observe each term is -3 times the previous one.

<u>The sequence is geometric and the common ratio is:</u>

r = - 3

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Explanation:
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Where
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a = 0 (x's lower bound)

$f(b) = f(8) = \frac{2*8-2}{5*8-6} = \frac{7}{17} \\ f(a) = f(0) = \frac{2*0-2}{5*0-6} = \frac{1}{3} \\ \frac{f(b) - f(a)}{b-a} = \frac{ \frac{7}{17} - \frac{1}{3}}{8} = \frac{1}{102}$

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