Mathematics, 09.11.2020 08:10, billy1123

Assessment D. Fibonaces
2. The geometne sequences below has a common ratio of -2. except:
A32, 16, S. B*8. 16, 32 2. 4.-8.16 D. 3.-6. 12. 24
3. What is the common rate of the sequence 1000, 1000, 100, 10, 12
A
B 10
C 100
D. 1000
1.3,
4. Which of the following sequences illustrates arithmetic sequence?
-5. 0, 5, 10, 15.
3. 9. 27. 81.243,
IV. 4.1. -2.-5.-8.
AI and I
C II and III
B. I and IV
DI and IV
5. Which of the following does NOT belong to the group?
4.5. -10. 20.0
C 18. 15. 12.9
B-5. -10, -15, -20
D. 2. 4. 6,8
6. In the geometric sequence what is the next term?
A
B. 3
C.
D. 729
8

Assessment

D. Fibonaces2. The geometne sequences below has a common ratio of -2. except:A32, 16,

Answers: 3

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Answers

answered: robert7248

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

answered: laerica

1). c

2). a

3). a **

4). d

5). a

6). c

** Question #3 has a typo (a typographical error, a misprint, an error, a mistake, a blunder, an oops, an owee) on the question sheet. The first number of the sequence should be 10,000 instead of 1000 .

answered: Guest

i can answer this question sweetie!

step-by-step explanation:

answered: Guest

1.30

step-by-step explanation: