Mathematics : asked on as02540
 20.09.2022

Common ratio of 3, -6, -15, -24

. 4

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Mathematics
Step-by-step answer
P Answered by PhD

1. If a sequence has a common ratio, it is called: C. Geometric Sequence

2. The sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4

3. The common ratio of 10,000, 1,000, 100, 10, 1 is: \mathbf{A. \frac{1}{10}}

4. The sequences that are arithmetic sequence are:

D. I and IV.

5. The sequence that does not belong to the group is: A. 5, -10, 20, -40.

6. The next term of the geometric sequence is: C. \frac{1}{729}

Recall:

In an ordered list of numbers, if each next term is found by multiplying the previous term by a constant known as the common ratio (r), the sequence is referred to as Geometric sequence.For an arithmetic sequence, the next term is found by adding a constant to the previous term. The constant added is referred to as the common difference.

1. Therefore, if a sequence has a common ratio, it is called: C. Geometric Sequence

2. Common ratio = next term / previous term

The sequence, -32, 16, -8, 4 has the following common ratio which is not -2:

\frac{4}{-8} = \frac{-8}{16} = \frac{16}{-32} = -\frac{1}{2}

The common ratio is: -\frac{1}{2}

Therefore, the sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4

3. Find the common ratio of: 10,000, 1,000, 100, 10, 1

Common ratio = next term / previous term

Thus:

Common ratio = \frac{1}{10} =  \frac{10}{100} = \frac{100}{1,000} = \frac{1,000}{10,000} = \frac{1}{10}

Therefore, the common ratio of 10,000, 1,000, 100, 10, 1 is: \mathbf{A. \frac{1}{10}}

4. An arithmetic sequence is an ordered list whereby the next term is gotten by adding a constant to the previous term.

Simply put, the ordered list of numbers has a difference between each terms.

To find the common difference, subtract the previous term from the next term.

Thus:

-5, 0, 5, 10, 15 would have the following common difference:

0 - (-5) = 5

5 - 0 = 5

10 - 5 = 5

15 - 10 = 5

Also:

4, 1, -2, -5, -8 would have the following common difference:

1 - 4 = -3

-2 - 1 = -3

-5 -(-2) = -3

-8 -(-5) = -3

Therefore, the sequences that are arithmetic sequence are:

D. I and IV.

5. The sequence, 5, -10, 20, -40, is a geometric sequence, that is it has a common ratio as shown below:

Common ratio = \frac{-40}{20} = \frac{20}{-10} = \frac{-10}{5} = -2

The rest of the sequence in the answer choices have a common difference and are arithmetic sequences except 5, -10, 20, -40.

Therefore, the sequence that does not belong to the group is: A. 5, -10, 20, -40.

6. To find the next term in the geometric sequence, \frac{1}{9}, \frac{1}{27}, \frac{1}{81}, \frac{1}{243}, find the common ratio.

Then multiply it by the last term to get the next term in the sequence.

Common ratio = Next term / previous term

= \frac{1}{27} \div \frac{1}{9} \\\\= \frac{1}{27} \times \frac{9}{1} \\\\= \frac{1 \times 9}{27 \times 1}\\\\= \frac{9}{27} \\\\= \frac{1}{3}

Multiply \frac{1}{3} by \frac{1}{243} to get the next term:

\frac{1}{243} \times \frac{1}{3} = \frac{1 \times 1}{243 \times 3} \\\\= \frac{1}{729}

Therefore, the next term of the geometric sequence is: C. \frac{1}{729}

In summary,

1. If a sequence has a common ratio, it is called: C. Geometric Sequence

2. The sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4

3. The common ratio of 10,000, 1,000, 100, 10, 1 is: \mathbf{A. \frac{1}{10}}

4. The sequences that are arithmetic sequence are:

D. I and IV.

5. The sequence that does not belong to the group is: A. 5, -10, 20, -40.

6. The next term of the geometric sequence is: C. \frac{1}{729}

Learn more about sequence here:

link

Mathematics
Step-by-step answer
P Answered by PhD

1. If a sequence has a common ratio, it is called: C. Geometric Sequence

2. The sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4

3. The common ratio of 10,000, 1,000, 100, 10, 1 is: \mathbf{A. \frac{1}{10}}

4. The sequences that are arithmetic sequence are:

D. I and IV.

5. The sequence that does not belong to the group is: A. 5, -10, 20, -40.

6. The next term of the geometric sequence is: C. \frac{1}{729}

Recall:

In an ordered list of numbers, if each next term is found by multiplying the previous term by a constant known as the common ratio (r), the sequence is referred to as Geometric sequence.For an arithmetic sequence, the next term is found by adding a constant to the previous term. The constant added is referred to as the common difference.

1. Therefore, if a sequence has a common ratio, it is called: C. Geometric Sequence

2. Common ratio = next term / previous term

The sequence, -32, 16, -8, 4 has the following common ratio which is not -2:

\frac{4}{-8} = \frac{-8}{16} = \frac{16}{-32} = -\frac{1}{2}

The common ratio is: -\frac{1}{2}

Therefore, the sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4

3. Find the common ratio of: 10,000, 1,000, 100, 10, 1

Common ratio = next term / previous term

Thus:

Common ratio = \frac{1}{10} =  \frac{10}{100} = \frac{100}{1,000} = \frac{1,000}{10,000} = \frac{1}{10}

Therefore, the common ratio of 10,000, 1,000, 100, 10, 1 is: \mathbf{A. \frac{1}{10}}

4. An arithmetic sequence is an ordered list whereby the next term is gotten by adding a constant to the previous term.

Simply put, the ordered list of numbers has a difference between each terms.

To find the common difference, subtract the previous term from the next term.

Thus:

-5, 0, 5, 10, 15 would have the following common difference:

0 - (-5) = 5

5 - 0 = 5

10 - 5 = 5

15 - 10 = 5

Also:

4, 1, -2, -5, -8 would have the following common difference:

1 - 4 = -3

-2 - 1 = -3

-5 -(-2) = -3

-8 -(-5) = -3

Therefore, the sequences that are arithmetic sequence are:

D. I and IV.

5. The sequence, 5, -10, 20, -40, is a geometric sequence, that is it has a common ratio as shown below:

Common ratio = \frac{-40}{20} = \frac{20}{-10} = \frac{-10}{5} = -2

The rest of the sequence in the answer choices have a common difference and are arithmetic sequences except 5, -10, 20, -40.

Therefore, the sequence that does not belong to the group is: A. 5, -10, 20, -40.

6. To find the next term in the geometric sequence, \frac{1}{9}, \frac{1}{27}, \frac{1}{81}, \frac{1}{243}, find the common ratio.

Then multiply it by the last term to get the next term in the sequence.

Common ratio = Next term / previous term

= \frac{1}{27} \div \frac{1}{9} \\\\= \frac{1}{27} \times \frac{9}{1} \\\\= \frac{1 \times 9}{27 \times 1}\\\\= \frac{9}{27} \\\\= \frac{1}{3}

Multiply \frac{1}{3} by \frac{1}{243} to get the next term:

\frac{1}{243} \times \frac{1}{3} = \frac{1 \times 1}{243 \times 3} \\\\= \frac{1}{729}

Therefore, the next term of the geometric sequence is: C. \frac{1}{729}

In summary,

1. If a sequence has a common ratio, it is called: C. Geometric Sequence

2. The sequence that does not have a common ratio of -2 is: A. -32, 16, -8, 4

3. The common ratio of 10,000, 1,000, 100, 10, 1 is: \mathbf{A. \frac{1}{10}}

4. The sequences that are arithmetic sequence are:

D. I and IV.

5. The sequence that does not belong to the group is: A. 5, -10, 20, -40.

6. The next term of the geometric sequence is: C. \frac{1}{729}

Learn more about sequence here:

link

StudenGPT
Step-by-step answer
P Answered by Studen AI
I. TRUE AND FALSE
1. False - Red and SST tubes give you serum, not your serum.
2. True - Blood culture is typically drawn first in the order of draw.
3. True - Red tubes are usually inverted 5-6 times.
4. True - SST stands for Serum Separator Tube.
5. False - Red tubes do not contain anticoagulant.
6. True - SST tubes contain clot activator.
7. False - Gray tubes usually contain one or more additives, not two.
8. True - Light blue tubes are used for coagulation tests.
9. True - Yellow tubes with SPS go to the Microbiology department.
10. True - Prolonged tourniquet application can cause hemolysis.
11. True - The most commonly used vein is the median cubital vein.
12. False - Excess alcohol does not cause hemoconcentration.
13. False - Hemolysis and hematoma are not the same. Hemolysis refers to the breakdown of red blood cells, while a hematoma is a localized accumulation of blood.
14. False - The angle of the needle during venipuncture is typically 15-30 degrees.
15. True - 21 and 22 gauge needles are commonly used for venipuncture.

II. MATCH THE FOLLOWING
1. Red - B. NON ADDITIVE
2. Blue - D. HEMATOLOGY
3. SST - A. CHEMISTRY
4. Yellow - E. SEROLOGY
5. Green - C. MICROBIOLOGY
6. Gray - G. EDTA
7. Lavender - F. POTASSIUM OXALATE/ SODIUM FLUORIDE

III. The difference between serum and plasma:
- Serum is the liquid part of the blood without the clotting factors. It is obtained by allowing a blood sample to clot and then separating the liquid from the clot.
- Plasma is the liquid part of the blood that contains the clotting factors. It is obtained when an anticoagulant is added to the blood sample before clotting occurs.

IV. Tubes that give you plasma:
- Tubes containing anticoagulants, such as EDTA, sodium citrate, or heparin.

V. Tube that gives you serum:
- A red tube without any additives.

VI. The tourniquet is applied to the upper arm, around the area where the blood will be drawn. It should be applied tightly enough to restrict venous blood flow but should not be left on for more than one minute.

VII. Hemolysis is the breakdown of red blood cells, resulting in the release of hemoglobin into the surrounding fluid. Three reasons that can cause hemolysis are:
1. Rough handling or shaking of the specimen, which can rupture red blood cells.
2. Incorrect needle insertion technique, which can damage red blood cells.
3. Exposure to extreme temperatures, especially freezing or overheating the specimen.

VIII. Hemoc
Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
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P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
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P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
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P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
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P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
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P Answered by PhD

The answer is in the image 

The answer is in the image 

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