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Lesechka [4]
3 years ago
13

Find the missing terms in the following geometric sequence.

Mathematics
2 answers:
Dmitrij [34]3 years ago
5 0

Answer: D. 36, 108

Step-by-step explanation:

In the geometric series the ratio of two consecutive term is constant and this ratio is called the common ratio,

Let n be the common ratio of the given series,

Then the GP will be,

12, 12×n, 12×n×n, 324,

Again by the definition of Geometric series,

\frac{12n}{12} = \frac{324}{12n^2} \implies n^3 = 27\implies n = 3

Thus, the required series is,

12, 12×3, 36×3, 324

= 12, 36, 108, 324

⇒ Option D is correct.

andrew-mc [135]3 years ago
4 0

Answer:

The correct option is d. 36, 108

Explanation:

We are given the below series:

12,___, ___, 324

In geometric series every number after the first is found by  multiplying the previous term by a fixed number.

The given series can be written as:

12 \times 3^{0}=12

12 \times 3^{1}=36

12 \times 3^{2}=108

12 \times 3^{3}=324

Therefore, the option d. 36, 108 is correct


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Who can help me get the answer??
Neko [114]

Answer: <u>13,5</u> (first one)

Step-by-step explanation:According to given table for Relation g, we have following order pairs

(2,2)

(3,5)

(4,9)

(5,13)

Note: Each of first value in coordinate is x and each of the second value in the coordinate is y value.

We need to check the option, which gives an order pair of inverse relation of g.

In order to find inverse relation of a coordinate, we need to switch x and y values of a coordinate.

x value goes in y place and y value goes in x place.

So, the order pairs of inverse relation of given relation of g can be written as  

(2,2) --> (2,2)

(3,5) --> (5,3)

(4,9) --> (9,4)

(5,13) --> (13,5).

In the given options, we have first order pair (13,5), which is the inverse of order pair (5,13).

Therefore, correct option is first option (13,5)

8 0
2 years ago
Given that x and y vary inversely and that y is 8 when x is 2, what is the value of x when y is 18?
Savatey [412]

Answer:

8/9

Step-by-step explanation:

the equation is x = k / y

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7 0
2 years ago
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KonstantinChe [14]

Step-by-step explanation:

RS = 8 × cos(61°) = 2.9 [1 dp] = 3cm

6 0
3 years ago
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