Which of the following is an arithmetic sequence with common difference –5?


8, 3, –2, –7, . . .

B)

0, 5, 10, 15, . . .

C)

5, 25, 125, 625, . . .

D)

5, –25, 125, –625, . . .

Answers

Answer 1

Answer:

Option A i.e. 8, 3, -2, -7, ... is correct.

Step-by-step explanation:

Let us check the sequence given in option A

[tex]8, 3, -2, -7, . . .[/tex]

An arithmetic sequence has a constant difference '[tex]d[/tex]' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

determine the differences of all the adjacent terms of Arithmetic sequence

[tex]3-8=-5,\:\quad \:-2-3=-5,\:\quad \:-7-\left(-2\right)=-5[/tex]

The difference between all the adjacent terms is the same and equal to

[tex]d=-5[/tex]

Therefore, we conclude that the arithmetic sequence 8, 3, -2, -7, ... has a common difference -5.

Hence, option A i.e. 8, 3, -2, -7, ... is correct.

Answer 2

Answer:

8, 3, –2, –7, . . .

Step-by-step explanation:


Related Questions

find the surface area of cuboid whose Length breadth and height are 15 CM 12 cm and 10cm respectively​

Answers

Step-by-step explanation:

Given

length(l) = 15 cm

breadth (b) = 12 cm

height (h) = 10 cm

Surface area of cuboid

= 2 (lb + bh + lh)

= 2 ( 15 * 12 + 12 * 10 + 15 * 10)

= 2 ( 180 + 120 + 150)

= 2 * 450

= 900 cm²

Hope it will help :)

Find the geometric mean between 4 and 6. (Always simplify the radical completely.)

Answers

Answer:

Use the formula to find the geometric mean.

4

6

Multiply

4

by

6

.

24

Rewrite

24

as

2

2

6

.

Tap for more steps...

2

2

6

Pull terms out from under the radical.

2

6

Approximate the result.

4.89897948

The geometric mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

4.9

The length and width of a rectangle are shown below.
50 X
2x+10
Please hurry

Answers

It’s 2x7x6x5 that I hat it is

The expression -2x² + 90x +500 represents the area of the rectangle if the length and width of the rectangle are (50 - x) and (2x + 10) option (c) is correct.

What is the area of the rectangle?

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Area of rectangle = (50 - x)(2x+10)

[tex]\rm -2x^2+90x+500[/tex]

Thus, the expression -2x² + 90x +500 represents the area of the rectangle if the length and width of the rectangle are (50 - x) and (2x + 10) option (c) is correct.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ2

Please Help ASAP I’m confused

Answers

Answer:

D. not necessarily congruent

I got it right

PLEASE HELP IVE BEEN STUCK ON THIS FOR SO LONG! ILL GIVE BRAINLIEST HELP ASAP PLEASE

Answers

Answer:

It would be A

Step-by-step explanation:

If you are minusing by 5 in the equation then that means that they graph has gone down by 5 units not up. and since 4x and is positive and -2x is negative the graph would flip over the years axis

which system of equations graphed below has a solution of (2,1)​

Answers

Answer:

Sorry to say this... but neither of them have a solution of (2,1)

Step-by-step explanation:

The top one has a solution of (-2,-1). The one on the bottom has a solution of (-2,1). So... I'm not sure how this can help... but yeah...

The island has 600 bikes and 900 people. What is the bike to person ratio

Answers

Answer:

2:3 (2 bikes for every 3 people)

Step-by-step explanation:

hope this helps

Solve using substitution.
y = -9x - 10
y = -2x + 4

Answers

Answer:

1.444444444444444444? I tried

Answer:

X= -2

Y= 8

im not sure if thats the way u needed

Please Help ASAP I’m confused

Answers

c maybe i'm not sure

If A and B are two points on a circle such that m of arc (AB) = 260°. A possible value for the
angle subtended by arc BA at a point on the circle is
(a) 100°
(b) 75°
(c) 50°
(d) 25°​

Answers

Answer:

c) 50 degrees

Step-by-step explanation:

360-260 = 100 degree central angle

inscribed angle = 1/2 (100) = 50

actually thats wrong bc my teacher did it with us but i really dont know the answer

Answers

Answer:

???

Step-by-step explanation:

darn
do u have the question lololol


I need two equations

Answers

Answer:lol

Step-by-step explanation: booooooo

please help !!!
would you please help me

Answers

The answer is 34300

whats 284x 4 please help

Answers

Answer:

1136

Step-by-step explanation:

1136 that’s the answer

2x+5=? when x is 3 what is the answer

Answers

Answer:

11

Step-by-step explanation:

since x=3

2*3+5

you simplify 2*3 first

6+5

=11

hope this helped

giving me brainliest will make me happy

Can you help me answer this in 2 minutes please
-64 = P - 16
Thanks

Answers

Answer:

p = -48

Step-by-step explanation:

it’sannoyingtoexplainnn

Answer:

-48

Step-by-step explanation:

To get P, take - 16 over the equality sign and it becomes a positive 16. Then we have - 64 + 16 =P

Therfore P = - 48

Karla rode her bicycle 135 miles in 9 weeks, riding the same distance each week. Brad rode his bicycle 102 miles in 6 weeks, riding the same distance each week. Which statement correctly compares the number of miles per week they rode?

Answers

Answer:

Karla's 15 miles per week to Brad's 17 miles per week.

Step-by-step explanation:

First, we would need find the total number of miles each individual rides per week. We do this by dividing the total miles ridden by the number of weeks it took for each individual like so...

Karla:  135 / 9 = 15 miles per week

Brad:   102 / 6 = 17 miles per week

Finally, the comparison would be

Karla's 15 miles per week to Brad's 17 miles per week.

Answer:

Eric rode 2 more miles per week than Kim rode

Step-by-step explanation:

Just say anything pls HELP

Answers

Answer:

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

The daily simple interest rate for a credit card is 0.059%. What is the simple interest for 30
days on £4 750? Help please

Answers

Answer:

£84.075

Step-by-step explanation:

4750 x 0.059% = 2.8025

2.8025 x 30 = £84.075

Answer:

Como así?

Step-by-step explanation:

16- x at x=5
Please hurry

Answers

Answer:

11

Step-by-step explanation:

16 - 5 = 11

We just sub in the value for x, which is 5.

Answer:

16 - x = 11

Step-by-step explanation:

since x = 5

16 - 5 = 11

A man wants to determine the height of a light house. He measured
the angle at A and found that tan A = 3/4. What is the height of the
light house if A is 40 m from the base ?

Answers

Answer:

Step-by-step explanation:

height/A = tanA

height/40 = 3/4

height = 30 meters

I NEED HELP ASAPPP
Part A
() For the following figure, the value of zis
HU
45
T
Part B
Using the same figure, determine the value of y.
Choose the suitable option,
(b)
A 16 in.
B 64 in
8V2in.
42 in

Answers

Answer:

sinB=p/h

sin45=8/y

1/√2=8/y

y=8√2in

Graph the relationship from Exercise 5.

Answers

(0,0) (1,50) (2,100) (3,150) etc.

When taking notes from a book, story, or other selection the source should be?
A. simple
B. dependable
C. easy to copy

Answers

Answer:

b

Step-by-step explanation:

Answer:

B. dependable

Step-by-step explanation:

well good luck

1/2(5x−8)=21 solve for x and brainliest

Answers

Answer:

x=10

Step-by-step explanation:

see picture for explanation

Could someone help me figure this out.?

Answers

[tex]5.50p + 3.25[/tex]

[tex]41.75 = 5.50p + 3.25[/tex]

[tex]41.75 - 3.25 = 5.50p + 3.25 - 3.25[/tex]

[tex]38.5 = 5.50p[/tex]

[tex] \frac{38.5}{5.50} = \frac{5.50p}{5.50} [/tex]

[tex]7 = p[/tex]

Allison ordered 7 pictures.

Please help me. .....

Answers

Answer:

24 pounds

Step-by-step explanation:

Step 1: Find out how many pens he bought

12 pens per pack

Charles bought 60 packs

60 packs x 12 pens = 720 pens

Step 2: Find out how much Charles spent

2.80 per pack

Charles bought 60 packs

60 x 2.80 = 168 pounds

Step 3: Find out how many pens Charles sold

Charles sold 2/3 of his pens

2/3 x 720 = 480

Step 4: Find out how manypens he sold

Charles sold the pens for 40p

40p x 480 = 19200p

Step 5: Convert pences to pounds

19200p = 192 pounds

Step 6: Find the profit

192 - 168 = 24 pounds

Step 7: Therefore statement

Therefore he mad 24 pounds of profit

A map's scale is 1 inch : 2.4
miles. The map shows an
airport that is 5 inches away
from a city. How far away is
the airport actually from the
city?
miles

Answers

12 miles

If 1 inch equals 2.4 miles on an actual scale, then 5 inches would be 2.4 • 5 which equals 12 miles.

A sign along the road has these measurements. What is the area of the sign? 35 and 20

Answers

Answer: 700

Step-by-step explanation:

35 x 20 = 700

Answer:

350

Step-by-step explanation:

b

Find the sum of the Arithmetic Series on the picture.

Answers

Answer:

Step-by-step explanation:

The sum of the sequence is the average of first and last terms times the number of terms.

(3n+4) for 3rd and 7th terms and the number of terms is 7-3+1=5 so

(13+25)5/2

38(5/2)

19(5)

95

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