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Allushta [10]
3 years ago
5

The first term of a G.p are as follows: m, m^2+4, 16m find the 5th term

Mathematics
1 answer:
Anna35 [415]3 years ago
4 0

Answer:

512

Step-by-step explanation:

In a geometric sequence, the ratio between the second term and the first term is equal to the ratio between the third term and the second term.

(m² + 4) / m = 16m / (m² + 4)

Solve:

(m² + 4)² = 16m²

m² + 4 = 4m

m² − 4m + 4 = 0

(m − 2)² = 0

m = 2

The first three terms of the geometric sequence are therefore 2, 8, 32.

The common ratio is 4, and the first term is 2.  So the 5th term is:

a = 2 (4)⁵⁻¹

a = 512

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Find an equation for the plane through the points p=(0,0,0), q=(0,1,0), and r=(1,2,3)
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Assume Ax+By+Cz+D=0 the plane 's equation.

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3 years ago
Wang Yong owes the bank $8500. To repay the debt, he paid a fixed amount back to the bank each month. After 12 months, his remai
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5 0
3 years ago
Which of the following statements is correct? Population parameters are used to make inferences about sample statistics. Populat
ikadub [295]

Answer: Sample statistics are used to make inferences about population parameters.


Step-by-step explanation:

A number which describes a population is called a parameter, such as a proportion or percentage.

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Read 2 more answers
The Gross National Product (GNP) is the value of all goods and services produced in an economy, plus the value of the goods and
LenKa [72]

The question supplied is incomplete. The complete question is shown below:

The Gross national product (GNP) is the value of all the goods and services produced in an economy, plus the value of goods and services imported, less the goods and services exported. During the period of 1994-2004, the GNP of Canada grew about 4.8% per year, measured in 2003 dollars. In 1994, the GNP was $5.9 billion. Assuming this rate continues, in what year with the GNP reach $10 billion?

Answer:

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Step-by-step explanation:

Every year, the new GNP will become (100 + 4.8)% of that of the previous year. That is 104.8%, and equivalent of 1.048.

Let P(y) be the GNP after a period of y years.  

After y years, the equation for calculating A(y) becomes

A(y)=5.9*(1.048)^y

Since A(y) = 10

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10/5.9 =(1.048)^y

1.695=(1.048)^y

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ln⁡(1.695) = y ln⁡1.048

y=ln⁡1.695/ln⁡1.048  

y=11.26 years

1994 + 12 = 2006

Canada’s GNP will reach $10 billion in the year 2006

8 0
3 years ago
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