A sequence starts with 1, -1,... Give a rule that could follow the next 3 terms.

Answers

Answer 1

Answer:

thus next three terms are -3,-5,-7

Step-by-step explanation:

a=1

first find d

-1-1

-2

then a.p= a,a+d,a+2d,a+3d,a+4d

=1,1-2,1+2×-2,1+3×-2,1+4×-2

=1,-1,1-4,1-6,1-8

=1,-1,-3,-5,-7

plz mark as brainlist

Answer 2

The given series 1, -1,... is arithmetic progression series whose pattern is a, a +d, a + 2d, a + 3d + a + 4d , ....

What is Arithmetic progression?

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression is more often used, for instance in the sum of natural numbers.

1, 2, 3, 4, 5, 6, 7, and 8 are natural numbers.

The difference between any two subsequent terms is now the same: d = 2-1 = 3-2.

Given,

1 , -1 , ...

If we subtract the second term from first

-1 - 1 = -2

So, a common difference between the series will be -2

Now,

Third term = a + 2d = 1 + 2 (-2) = -3

Fourth term = a + 3d = 1 + 3 (-2) = -5

Fifth term  = a + 4d = 1 + 4 (-2) = -7

Hence the general rule will be  a, a +d, a + 2d, a + 3d + a + 4d , ....

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Related Questions

Which statements are true about the solution of 15 > 22 + x? Select all that apply.
A.
-6 is part of the solution.
B. x < -7
c. Thegraph has a closed circle.
D. x > -7
E.
-7 is part of the solution.

Answers

Answer:

B

Step-by-step explanation:

15>22+x

or, -x+15>22

or, -x>22-15

or, -x>7

or, x<-7 is your answer.

Right before a snow storm the hardware store sold
fifteen shovels in sixty minutes. At that rate the store
solda shovel every minutes.

Answers

Answer:

4

Step-by-step explanation:

60/15=4

The rate of change is 1/4 shovels/ minute of 0.25 shovels/ minute.

What is rate of change?

Rate of change is the increase or decrease of any property with respect to any other property, when rate of change is studied for a time duration, the ratio of the difference in the property from initial state to its value at the end of the time duration is divided by the total time.

For an expression, the rate of change is determined by differentiation.

The hardware store sold 15 shovels in sixty minutes.

The number of shovels sold is 15.

The time duration in which the shovels are sold is 60 minutes.

The rate of the shovels sold every minute has to be determined.

Rate = ( No. of shovels sold) / Time duration

Substituting the values

Rate = 15 /60

Rate = 1/4

Rate is 1 shovel sold every 4 minute.

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Cami and Joe each began saving money for a
new computer. Cami saves $5 per week plus $50
she receives for her birthday. Joe saves $7 per
week. After how many weeks will they have the
same amount of money saved?

Answers

Answer:

twelve weeks

Step-by-step explanation:

What is the domain and range of the graph?

Answers

Answer:

B

Step-by-step explanation:

what is quotient of 6,484÷24​

Answers

Answer:

270.16 repeated (only the 6 repeats there is only one 1)

Step-by-step explanation:

Answer: 6,484÷24​=270 R 4

What is 10+4(-8q-4) simplified into an equation

Answers

Answer:

-32-6

Step-by-step explanation:

this is your answer

simplify the following expressions using distributive property of multiplication 4(3x-1)​

Answers

Answer:

multiplication 4(3x-1)

12x-4

XYZ has been bisected. Find the measurement of XYZ if m2 = 40°

Answers

Answer:

baby I'm a different yea yea yea yea ye

2. An article in the Journal of the American Medical Association reports the results of a
study designed to see if the herb St. John's wort is effective in treating moderately
severe cases of depression. The study involved 338 patients who were being treated
for major depression. The subjects were randomly assigned to receive one of three
treatments: St. John's wort, Zoloft (a prescription drug), or placebo (an inactive
treatment) for an 8-week period. The two way table summarizes the data from the
experiment
Treatment
a. What proportion of subjects in the study were
St. John's
randomly assigned to take St. John's wort?
wort Zoloft Placebo
Explain why this value makes sense.
Full
27 27
The proportion of subjects in the study that were randomly assigned
response
to take St. John's wort is about 1/3 (113/338).
Change in Partial
16 26 13
depression response
No
70 56 66
b. Find the distribution of change in depression
response
for the subjects in this study using relative
frequencies.
37
1
C. What percent of subjects took Zoloft and showed a full response?

Answers

Answer:

a.  113/338

b. The relative frequency distribution is presented as follows;

[tex]{}[/tex]                                      St. John's wort              Zoloft                 Placebo

Full response [tex]{}[/tex]               27/91                             27/91                  37/91

Partial response [tex]{}[/tex]           16/55                             26/55                13/55

No response [tex]{}[/tex]                35/96                            7/24                    11/32

c. 29.67%

Step-by-step explanation:

a. The proportion of subjects assigned to take St. John wort is found as follows;

The total number of subjects = 27 + 27 + 37 + 16 + 26 + 13 + 70 + 56 + 66 = 338 subjects

The number of subjects assigned to take St. John wort = 27 + 16 + 70 =  113

The proportion of subjects assigned to take St. John wort = 113/338

b. The distribution of change in depression response using relative frequency is found as follows;

Total full response = 27 + 27 + 37 = 91

Total partial response = 16 + 26 + 13 = 55

No response = 70 + 56 + 66 = 192

[tex]{}[/tex]                                      St. John's wort              Zoloft                 Placebo

Full response [tex]{}[/tex]               27/91                             27/91                  37/91

Partial response [tex]{}[/tex]           16/55                             26/55                13/55

No response [tex]{}[/tex]                35/96                            7/24                    11/32

c. The percentage of subjects that took Zoloft and showed full response is given as follows;

The percentage of subjects that took Zoloft and showed full response = 27/91 × 100 = 29.67%

Jamari writes a number that is the same distance from 0 to 6 on a number line, but in the opposite direction. What number did Jamari write

Answers

Answer:

-6

Step-by-step explanation:

Jamari starts at 0 and goes to 6 but its in the negatives, anything behind the zero (0) going left we always be smaller (<) so the number he wrote was -6.

The actual length of a full-size school bus is 40 feet. Which toy school bus is built to a scale of 1inch = 5 feet?

Answers

Answer:

well

Step-by-step explanation:

40 ÷ 5 = 8

so the answer should be an 8 inch toy bus

y= 2x2 – 9x + 8
Deter sin the number of solutions for quadratic equation

Answers

Well if it is a quadratic equation, then it has 2 solutions

Do you need the solutions or just the number of solutions?

Find the width of a rectangle is the perimeter is 56 cm and the length is 15 cm.

help ?
whats the formula for this

Answers

Answer:

13cm

Step-by-step explanation:

P=2l+2w

56=2(15)+2w

56=30+2w

26=2w

w=13

An equation that crosses the Y axis at -5 and crosses the X axis at five

Answers

Answer:

y = x - 5

Step-by-step explanation:

Slope-intercept formula:

y = mx + b

The value of b already given, it is -5, so

y = mx - 5

Points as per description:

(0, -5) and (5, 0)

The slope is:

m= (y2 - y1)/(x2 - x1) = (0+5)/(5-0) = 1

Then we get the formula:

y = x - 5

There are 680 raisins in 8 bags. If each bag has the same number of raisins, how many raisins are in 12 bags? a. 900 raisins b. 935 raisins c. 1,020 raisins d. 1,056 raisins

Answers

D.1,020 If you divide 680 by eight you’ll get 85 Raisins in each bag then you multiply 85 times 12 = 1,020

Answer:

C

Step-by-step explanation:

We can divide the number of raisins by 8 because there are 8 bags (680÷8) which would be 85. Next we multiply the 85 by 12 because we need to find out the number of raisins in 12 bags (85×12), which would give us 1,020.

Solve for x: 1-2(x+1) = x+6

Answers

Answer:

Exact Form: x= - 7/3

Hope this helped! If you ever need anymore help feel free to ask. :)

how are intergers used to represent real world situations.

Answers

Answer:

Integers are always whole values such as 4, 10, or 58. They can represent something that can't be partial. (hope this was what you were looking for!)

1 sack of flour contains 21 cups. It takes 3 cups of flour to make a batch of cookies. How many batches of cookies can you make with TWO sacks of flour?

Answers

the answer would be 14...
1 sack = 21 cups.
so 2 sacks would equal 42 cups because 21x2= 42
and it takes 3 cups of flour to make ONE batch of cookies. So 42 divided by 3 is 14. And that’s how you get your answer.

Answer:

14 batches

Step-by-step explanation:

If 1 sack of flour = 21 cups, and 1 batch of cookies need 3 cups, all you have to do is find out how many batches can be made with 1 sack and double the number:

3 × _ = 21

21 ÷ 3 = 7

7 × 2 = 14

You can make 14 batches of cookies with 2 sacks of flour.

Hope this helped.

can somebody help me find the slope of this line?

Answers

Answer:

the slope is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The slope of the line is 3

Please help ! Easy 7th grade work ! I’ll give brainliest

Answers

Answer:

for the first one...      24

Step-by-step explanation:

im in 7th grade pls mark brainliest <3

Answer: i need to find my dad please help his name is candice

Step-by-step explanation:

Can I get the answers plz

Answers

Answer:

1) yes

2) yes

3) no

what is the value of (10 - 6) over 2 + 6 times 2 - ( 3 + 2) over 2

Answers

Answer:

-.25 or - 1/4

Step-by-step explanation:

A line has a y-intercept of 8 and a slope of 4. What is its equation in slope-intercept form?

Answers

Answer:

y = 4x + 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4 and c = 8 , thus

y = 4x + 8 ← equation of line

The equation in slope-intercept form is y = 4x+8

What is the equation of a line?

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

Given that, a line has a y-intercept of 8 and a slope of 4.

We know that, the general equation of a line is given by, y = mx+c

where m is slope and c is the y intercept,

Here, m = 4 and c = 8

Therefore, the equation can be, y = 4x+8

Hence, The equation in slope-intercept form is y = 4x+8

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Karim wants to buy a shirt that normally sells for $46.50. It is on sale for One-third off. How much does Karim need to pay to buy the shirt on sale?

Answers

Answer:

Step-by-step explanation:

First I took the original price of the shirt (46.50) since it is going one third off I divided it by 3 (46.50/3=15.50)

I took away the one third I divided from it (46.50-15.50=31)

I got 31 dollars as my final answer.

Now Karim needs to buy the shirt for $31.

Answer:

$31

Step-by-step explanation:

Price of the shirt normally: $46.50

Deduction in the price when it's 1/3 off: 1/3 * $46.50 = $15.50

amount that Karim needs to pay to buy the shirt:

Price of the shirt normally - Deduction in price when it's 1/3 off =

$46.50 - $15.50 = $31.00

if you multiply me by 5 and subtract 6 from me you get 14. what number am I.

Answers

Answer:

tje answer is 4

Step-by-step explanation:

4x5=20

20-6=14

Glr to precisando muito da ajuda de alguém com isso aqui, pfv

Answers

Answer:11

Step-by-step explanation:

Helpppppppppppppppppopp

Answers

▪ Answer:

+ 16

▪ Step-by-step explanation:

Hi there !

(-2)^4 =

= (-2)(-2)(-2)(-2)

= (4)(-2)(-2)

= (-8)(-2)

= + 16

Good luck !

(-)(-) = +

(-)(+) = -

Kylie is shopping for Christmas presents for her friends. Her budget is $100 this year. She wants to buy $15 gift cards per friend, plus the $10 she spent on regular cards total. How many gift cards can she buy?

Answers

Answer: 6

Step-by-step explanation: If you subtract 10 from 100, you get 90, which is the total amount she can spend on gift cards. Divide 90 by 15, and you get 6.

what is 3000 divided by 5000 subtracted from 200 plus 921

Answers

Answer:

1120.4 is what I got

Step-by-step explanation:

3000÷5000-200+921=721.6

answer is 721.6

I have number 10 done but can someone help me out with 11?

Answers

Answer:

x=5

Step-by-step explanation:

opposite angles are the same, so the small ones are 15. 180-30=150

150/2=75 75/15=5

Other Questions
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This kind of prank was not the first and probably will not be the last among governors. Other pranks among governors include leaving life-size cardboard cut out of the former governor in the shower, an alarm clock set for 3:00 AM left in the bedroom, and a stuffed real bear left in the governors private bathroom. No one ever expects a prank the day after Halloween thats what made it an even better idea. My brother Brian and I have had a running your turn my turn prank history ever since we learned about pranks from our very own parents. Since the last one was on me (a plastic roach on my pillow one morning), I knew my next idea had to be even more horrific. Here is the plan: I will wait behind the shower curtain in the morning before his arrival into the restroom. Once he stands half-asleep in front of the mirror, I will jump out, mask, and all, with arms, outstretched and yell Ahhhhh ! Everything is ready to go now. The plan execution had to be perfect. The waiting began. I hear his cell alarm go off followed by a few minutes pause. Then came the shuffling of his feet coming toward the restroom as he suddenly flicks on the lights. I noiselessly take a deep breath and hold the edge of the curtain ready to make my abrupt and chilling appearance. This will be the best prank remembered for a long time to come. ___________________________________________________________________ THE BEST PRANK EVER No one ever expects a prank the day after Halloween thats what made it an even better idea. My brother Brian and I have had a running your turn my turn prank history ever since we learned about pranks from our very own parents. Since the last one was on me (a plastic roach on my pillow one morning), I knew my next idea had to be even more horrific. Here is the plan: I will wait behind the shower curtain in the morning before his arrival into the restroom. 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