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

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:

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.

Recall:

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:

The common ratio is:

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 =

Therefore, the common ratio of 10,000, 1,000, 100, 10, 1 is:

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 =

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, , 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

Multiply by to get the next term:

Therefore, the next term of the geometric sequence is: C.

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:

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.

Learn more about sequence here:

link

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 .

angle uzt is congruent to angle tzy. angle vzw is congruent to angle yzx.

(credits to leowren)

step-by-step explanation:

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

f)

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

a)

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

b)

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

c)

the function given is   y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

d)

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 =   -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e)

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

f)

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

g)

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24