Mathematics College

Determine if the sequence below is arithmetic or geometric and determine the common difference/ ratio in simplest form

15, 11 ,7, …

Determine If The Sequence Below Is Arithmetic Or Geometric And Determine The Common Difference/ Ratio

Answers

Answer 1

Answer:

This is the arithmetic sequence which has a common difference that equals to -4.

Step-by-step explanation:

An arithmetic sequence is a sequence with common difference. A common difference can be found by subtracting previous term with next term.

A common difference can be expressed in [tex]\displaystyle \large{d=a_{n+1}-a_n}[/tex] where d stands for common difference.

________

Moving to the question given. We have a sequence with given 15,11,7, ... first subtract 15 with 11.

11-15 = -4

7-11 = -4

Therefore, we can conclude that the common difference is -4 thus making the given sequence an arithmetic.

Let me know if you have any question so regarding the sequence!

Related Questions

Determine the slope from the given graph below:

The slope is−17
The slope is 5
The slope is 7
The slope is -5

Answers

Answer:

The slope is positive 7

Step-by-step explanation:

The y-intercept is -5, and the next point going upwards is positive 2. (Sorry I'm bad at explaining)

Answer:

The slope is 7

Step-by-step explanation:

(1,2)(0,-5)

[tex]m=\frac{-5-2}{0-1} ==\frac{-7}{-1} =7[/tex]

Hope this helps

Mrs.Lavander and Mr.Lavander just got marriade.They want to build a mansion but....it cause 1563$ and food...569$ there money is 3641$.How much will they spend?​

Answers

Answer:

$2132

Step-by-step explanation:

They will spend : 1563+569= 2132 (dollars)

By the way did you copy the right question ? Because i see unnecessary information in this question. Anyway, try to check it again !

solve systems of equations 6x+2y=1 y=-3x+3 using substition??? Need answers quickly!!!!!

Answers

This might be incorrect but I tried my best. My answer is 0.416 but the 6 is repeating

Simplify:

(8)214+(8)(−12)
plz help :(

Answers

the answer is
1712-96
Your welcome

PLEASE HELP ME:))
what’s the value of x?

Answers

\[tex]\angle B +\angle C + x = 180^{\circ}\\\\\implies x = 180^{\circ} -\angle B -\angle C\\\\\implies x = 180^{\circ} - 75^{\circ} - 50^{\circ}\\\\\implies x = 55^{\circ}[/tex]

look at the picture please also be quick bec

Answers

unfortunately there is no picture, im sorry

Translate the sentence into an inequality.

Six times the sum of a number and 20 is greater than 16.

Use the variable c for the unknown number.

Answers

Answer:

6 (20 + c) > 16

Step-by-step explanation:

the sum of the number and 20 is 20 + c. so you multiply that equation by 6 giving you 6 (20 + c)

?/5 =8/10 type the missing number that makes this fraction equal

Answers

- - - - - - - - - - - - - - - - - - [tex] \frac{?}{5} = \frac{8}{10} [/tex]Let's take the missing number as x.

[tex] \frac{x}{5} = \frac{8}{10} [/tex]Means = Extremes [tex]x \times 10 = 5 \times 8[/tex][tex]x = \frac{5 \times 8}{10} [/tex]___(Cancel by 2 table)[tex]x = \frac{5 \times4 }{5} [/tex]___(Cancel by 5 table, So that we cancel 5 in the denominator and numerator)[tex]x = 4[/tex]- - - - - - - - - - - - - - - - - -

Therefore, The missing number is 4.

How do we graph ​y+6=45(x+3)?

Answers

Answer:

.....,....................

The volume (V) of a rectangular pyramid can be determined by using the following
formula.
Iwi
V
Where l= the length of the rectangle, w = the width of the rectangle, and h = the heigh
of the pyramid, what is the result of solving this equation for w?
Ow=3V-th
O2 - V +3 - th
V3
th
3V
O w=

Answers

Answer:

[tex]{ \rm{V = \frac{lwh}{3} }} \\ \\ { \rm{3V = lwh}} \\ \\ { \boxed{ \rm{ \: w = \frac{3V}{lh } \: }}}[/tex]

1 A community group is painting classrooms. One 20 litre can of costs R1 699,00. It is then reduced by 6%. Determine the new cost of a 20 litre can​

Answers

699,00 = 100%
6.99 = 1%
41.94 = 6%

699,00 - 41,94 = 657.06

Which expression is equivalent to -8(10x – 3)?

A) -80x + 24
B) -80x - 24
C) - 80x - 3
D) -80x + 3

Answers

-8(10x-3) = -80x+24 = A

Answer:

-8(10x-3) = -80x+24 = A

Step-by-step explanation:

yr welcome

3 2/3 + 2 3/5 + x = 8

Answers

Answer: x= [tex]-\frac {109}{15}[/tex]

y-5=2(x-3) slope intercept.​

Answers

Answer:

y=2x-1

Step-by-step explanation:

Because this equation is in point-slope form and we need it in slope-intercept form, all we need to do is simplify y-5=2(x-3).

y-5=2x-6     Distribute.

 +5     +5     Add 5 to both sides of the equation.

y=2x-1

Hope this helped! Have a great day ♥

Which of the following is equivalent to [picture]

A) a0 + a1 + a2 + a3 + a4 + a5

B) a1 + a2 + a3 + a4 + a5

C) a0 + a1 + a2 + . . .

D) a1 + a2 + a3 + . . . + a∞

Answers

Answer:

A) a0 + a1 + a2 + a3 + a4 + a5

Step-by-step explanation:

Answer:

A) a0 + a1 + a2 + a3 + a4 + a5

Step-by-step explanation:

Find an equation in the form y=ax^2+bx+c for the parabola passing through the points.
(3,25) (1,3) (-5,-15)
Thanks for the help! :)

Answers

Answer: [tex]x^2+7.0x-5.0x[/tex]

Step-by-step explanation:

A rectangle is 8 feet long. Its width is represented by “seven plus x feet.” Which expression represents the area, in square feet, of the rectangle?

Answers

56 + 8x

Area of Rectangle = Length x Width

Area of Rectangle = 8(7 + x)

Heheh... uhm, yeah, I don't do best with algebraic questions-

Answers

Answer:it's a for sure I think

write an equation for the line in standard form that passes through the following points (-2,-3) (-3,-6) ​

Answers

ANSWER: y = 3x + 3

Ok done. Thank to me :>

The area
of this figure
is square inches.
20 in
28 in
30 in.
7 in
25 in.

Answers

Answer:

946 square Inches

Step-by-step explanation:

First, you should split up the shape into parts.

1st part 28x7

2nd part 30x25

We are multplying simply because

Area = Length x Width

Now that we have split up the parts lets multply them and add them togeher.

28 x 7 =  196

30 x 25 = 750

196 +750 = 946

So the area of this figure is 946 square inches.

Examine the figure. What is the measure of angle b?

Answers

Answer:

b =146

Step-by-step explanation:

34 and b form a straight line so they add to 180

b+34 = 180

b = 180-34

b =146

From a sample size of 169, it was determined that the 68% confidence interval for the population mean is (505, 517). Therefore, the sample mean was ___. and the margin of error was ___.

A. 511; 6
B. 511; 12
C. 513; 6
D. 513; 12

​

Answers

Answer:

A. 511; 6

Step-by-step explanation:

The margin of error would be [tex]\pm\frac{517-505}{2}=\pm\frac{12}{2}=\pm 6[/tex]

The sample mean would be [tex]505+6=511[/tex] (or [tex]517-6=511[/tex])

The approximate average distances from the sun to Mars and Mercury are listed
below:
Mars: 2.28 x 108 kilometers
Mercury: 5.79 x 107 kilometers
How many times farther from the sun is Mars? Write your answer in standard
notation, rounding to the nearest tenth.

Answers

Answer:

  3.9

Step-by-step explanation:

Your calculator will tell you ...

  (2.28×10^8)/(5.79×10^7) ≈ 3.9

Mars is about 3.9 times as far from the sun as Mercury.

the title block in a working drawing indicates that the scale is a ratio of 1 and 5. This means that the real measurement of the machine is five times the what?

Answers

A scale of 1:5 indicates that real measurement of the machine is five times one unit in the drawing.

The title block on a working drawing shows some important details that may be relevant in reading the drawing. One of such important details is the scale of the drawing.

The scale tells us how the size of the drawing relates to the actual size in the real world. Hence, a scale of 1:5 indicates that real measurement of the machine is five times one unit in the drawing.

Learn more about scale drawing: https://brainly.com/question/147532

Figure B is a scale image of Figure A, as shown.
7
2.5
Figure A
Figure B
Enter the scale factor applied to Figure A to produce Figure B.
Enter your answer as a fraction, like this: 42/53

Answers

Answer:    14/5

Explanation:

Divide the side length for B over the corresponding side length for A.

scale factor = B/A = 7/(2.5) = 2.8

Let's now convert this to a fraction

2.8 = 2 + 0.8 = 2 + 8/10 = 20/10 + 8/10 = (20+8)/10 = 28/10

Then reduce that fraction

28/10 = (14*2)/(5*2) = 14/5

Note that 14/5 = 2.8

Don’t know how to do this

Answers

Answer:

[tex]horizontal : 76 \\ \\ \\ vertical : 33 \\ \\ pls \: check \: this \: answer \\[/tex]

Please look for the question in the picture.

Answers

Answer:

two negitives equals a positive so C none of the above

Hope This Helps!!!

Answer:

A and B

Step-by-step explanation:

Pls help , congruent triangles exercise.

Answers

Step-by-step explanation:

We can prove KK'M and LL'M are congruent by using ASA (Angle side angle). Angle side angle means that if we know two angles and one side, we can prove that they are congruent.

First, we know that ∠KMK' = ∠LML' because they are alternative angles. (That's our fist A)

Next, The problem states that KK' and LL' are equal. (so that gives our S)

Finally, we know that ∠ML'L and ∠KK'M are both 90 degrees, making them both equal. (That's our final A)

Hope this helped :D

Which is equivalent to the following expression? (2x - 1)(x + 3)

Answers

Answer:

2x2+5x−3

Step-by-step explanation:

Expand the polynomial using the FOIL method.

REI.C.6 Level 1
below.
2. A student is solving the system,
2x + 3y = 12
5x - 2y = 11
algebraically. Their work is shown below but is unfinished.
Continue where the student left off and solve the system.
2x + 3y = 12
5x - 2y = 11
=
2 (2x + 3y = 12)
3 (5x - 2y = 11)
4x + 6y = 24
15x – 6y = 33
-

Answers

Answer:

The solution is x = 3, y = 2.

Step-by-step explanation:

4x + 6y = 24

15x – 6y = 33    Add these 2 equations:

19x = 57

x = 57/19

x = 3.          Now Substitute for x in the original equation:

2(3) + 3y = 12

3y = 12 - 6

2y = 6

y = 2.

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