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meriva
3 years ago
7

Find the next three terms in the geometric sequence.

Mathematics
1 answer:
slava [35]3 years ago
3 0

Answer: D

Step-by-step explanation:

The common difference is  -2/3  so using the last term which is -8/27 multiply it by -2/3 to find the next terms.

-\frac{8}{27} * -\frac{2}{3} = \frac{16}{81}    

\frac{16}{81} * -\frac{2}{3} = -\frac{31}{243}  

-\frac{32}{243} * -\frac{2}{3} = \frac{64}{729}  

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3 years ago
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astra-53 [7]

Answer:

  • a = 5.8
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Step-by-step explanation:

As

7.2, a, b, 3 are in A.P

As we know common difference of the arithmetic sequence is the difference between the successive term and its preceding term, which is always constant

so

a -7.2 = b - a

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b = 2a - 7.2

also

a, b, 3 are in A.P

b - a = 3 - b

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Putting b = 2a - 7.2 in the equation 2b = 3 + a to find the value of 'a'.

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2 (2a - 7.2) = 3 + a

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3a = 3 + 14.4

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Dividing the equation by 3

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a = 5.8

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b = 2a - 7.2

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Therefore,

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4 years ago
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I've included a picture of what this equation looks like.

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