Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.


x 1 2 3 4
f(x) 5 −5 −15 −25
Arithmetic, common difference = −10
Arithmetic, common difference = −1
Geometric, common ratio = −10
Geometric, common ratio = −1

Answers

Answer 1

Answer:

The correct option is;

Arithmetic, common difference = -10

Step-by-step explanation:

The x terms given of the sequence are;

x         [tex]{}[/tex]  1          2         3         4      

f(x)      [tex]{}[/tex]   5        -5       -15        -25

For a geometric progression, a·r/a = a·r²/ar = ar³/ar² = (n + 1)/n = r

We check to obtain -5/5 ≠ -15/(-5), therefore, the system is not a geometric progression

For ab arithmetic progression, we have;

(n + 1)th term - nth term = (n + 2)th term - (n + 1)th term = d (The common difference

We check to obtain -5 - 5 10, -15 - (-5) = -15 + 5 = -10 similarly, we have; -25 - (-15) = -25 + 15 = -10

Therefore, the sequence is an arithmetic sequence, with common difference = -10.

Answer 2

Answer:

option 1 A)arithmetic,common difference= -10

Step-by-step explanation:

i took the test and got the answer correct


Related Questions

HELP what is -12=f-7

Answers

Answer:

F = -5

Step-by-step explanation:

-5 - 7 = -12

Think of it like this if you see a problem that goes like -4 - 3 then changed the minus symbol to a plus sign and change the 3 to a negative 3.

Answer:

f= -5

Step-by-step explanation:

-12=f-7 than u subtract the f to the other side giving you -f-12=-7 than you add the 12 to the -7 giving you 5 but than you have -f=5 and you need f to be bye it self and it's not bye it self because, it have the negative with it so you need to divide -1 into 5 giving you f= -5

Please help thank you so much!<3

Answers

Answer:

A.) 1/16

Step-by-step explanation:

Remove parenthesis 2^-4

Use negative power rule 1/2^4

Simplify 2^4 to 16

Answer 1/16

Answer:

1/16 is the answer to that

Step-by-step explanation:

if the exponent is negative, you will bring it down with the whole number and change the sign to positive, hope this helps!! have an nice day!!

Please show your work? Thank you 10 points.

Answers

Answer:

13

Step-by-step explanation:

12^2+5^2=x^2

144+25=x^2

169=x^2

Take the square root of 169 and get 13

Waich of the following is a true statement about perpendicular lines?
A. Perpendicular lines intersect to form a 45° angle.
B. Perpendicular lines can also be parallel lines.
C. Perpendicular lines cannot be parallel to each other.
D. Perpendicular lines intersect in at least two points.

Answers

Answer:

C

Step-by-step explanation:

perpendicular lines intersect at a 90 degree angle, meaning it is not answer choice A.

B is incorrect because perpendicular lines intersect, so they can not be parallel.

C is correct because parallel lines never intersect, so perpendicular lines can never be parallel to each other.

D is incorrect because perpendicular lines only intersect at one point and create four consistent right angles.

Bob needs to buy 300 pencils for
his class. If each box holds 25
pencils, how many boxes does he
need to buy?

Answers

Answer:

12

Step-by-step explanation:

300/25=12

12x25=300

How many solutions does the following equation have ?
–42 – 7 + 10x = -7 + 62

Answers

the equation only has one solution

-1.1 devide by -2 need help with this

Answers

Answer:

Step-by-step explanation:

-1.1 divided by -2 would be -3

Answer:

11/20 or 0.55

Step-by-step explanation:

-1.1÷-2=0.55

your letter grade is a function of your numerical grade. what is the independent variable

Answers

Answer:

a function of your numerical grade

Step-by-step explanation:

because the sentence can not stand on its own

Points A, B, and C are collinear. Point B is between A and C. Solve for x
Find AC if BC=11x-1, AC=21x, and AB=11.

Answers

girl I struggle with this

$15,785,025 using words

Answers

Answer:

fifteen million, seven hundred eighty-five thousand, twenty-five dollars

Step-by-step explanation:

HOPE THIS HELPS!

GOOD LUCK!

Answer:

fifteen million, seven hundred eighty-four thousand, twenty-five

Step-by-step explanation:

Which linear equation has a slope of 3 and a y-intercept of -2?
y = 3x + 2
y=3x-2
y=-2x + 3
y = -2x - 3

Answers

Answer:

y=3x-2

Step-by-step explanation:

3 is the coefficient of x (slope)

-2 comes after (y-int)

linear equation y = 3x-2 has a slope of 3 and a y-intercept of -2.

What is the Slope of a line?

A line's slope can be determined by looking at its slope. The slope is determined mathematically as "increase over run" (change in y divided by change in x). There are several ways to find the slope, including standard form, slope-intercept form, and point-intercept form.

Given, A linear equation that has a slope of 3 and a  y-intercept of -2.

Y-intercept of -2 means at x = 0 y would be -2

The slope-intercept form of a line is

y = mx + c

where m = slope

c = constant

Substituting the values in the given equation

-2 = 0 * 3 + c

c = -2

thus, the equation of the line,

y = 3x -2

therefore, The y-intercept of the linear equation y = 3x-2 is -2, and its slope is 3.

Learn more bout slope here:

brainly.com/question/3605446

#SPJ2

Find the result when 68 is decreased by 50%

Answers

Answer:

34

Step-by-step explanation:

68÷2=34

34 is the correct answer

29points!
Match the vocab word with the definition:
.1Devices, such as parentheses, brackets, and fraction bars, used to set apart an expression that should be simplified before other operations are performed
2.

An expression that consists of numbers, operations, and sometimes grouping symbol.
3.

The order in which operations must be computed when more than one operation is involve.
4.

A number representing how many times the base number should be multiplied by itself.
5.

A Symbol that represents a value that can change.
6.

A single number or variable, or numbers and variables multiplied together.
7.

The numerical factor in a term. A number being multiplied by a variable.
8.

A number on its own, it has a fixed value.
9.

A combination of variables, numbers, and operations.
10.

You replace, or substitute, all the variables with numbers and then simplify.
11.

A statement that the values of two math expressions are equal (indicated by the sign =).
12.

The relation between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
13.

The symbol of a math operation.

plus, minus, times, divided by, equals
14.

An equation or inequality containing one or more variable
Open Sentence

Exponent (Power)

Numerical Expression

Operator

Term

Evaluate

Order of Operations

Grouping Symbol

Constant

Coefficient

Variable Expression

Equation

Inequality

Variable

Answers

A:8

B:14

C:3

D:11

E:7

F:4

G:1

H:12

J:9

K:10

L:2

M:6

N:5

O:13

Anthony got 6 problems wrong on a test of 50 questions. What percent of the questions did he get correct?

Answers

Answer: 88%

Step-by-step explanation: 50-6=44. He got 44 problems correct. 44/50=.88.

Answer:

88%

Step-by-step explanation:

50-6=44

44/50=88

Convert the fraction to a decimal, then multiply by  100  .

A young sumo wrestler decided to go on a special high − -protein diet to gain weight rapidly. After  1 1 11 months, he weighed  1 4 0 k i l o g r a m s . 140 kilograms. He gained weight at a rate of  5 . 5 k i l o g r a m s 5.5 kilograms per month. Let  y y represent the sumo wrestlers weight ( i n k i l o g r a m s ) (in kilograms) after x months. Whats the y-intercept?

Answers

Given:

After 11 months, sumo wrestler weighed 140 kilograms.

He gained weight at a rate of 5.5 kilograms per month.

To find:

The y-intercept of the equation which represents y the  sumo  wrestlers  weight (in kilograms)  after x  months.

Solution:

Let y represent the sumo wrestlers weight (in kilograms) after x months.  

It is given that he gained  weight at a rate of  5.5 kilograms per month.

So, slope of the line is 5.5.

After  11  months,  sumo  wrestler weighed  140 kilograms. It means the line passes through the point (11,140).

The point slope form of the line is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope of the line.

[tex]y-140=5.5(x-11)[/tex]

[tex]y-140=5.5x-60.5[/tex]

Add 140 on both sides.

[tex]y-140+140=5.5x-60.5+140[/tex]

[tex]y=5.5x+79.5[/tex]

Therefore, the required equation is [tex]y=5.5x+79.5[/tex].

Substitute x=0, to find the y-intercept of this equation.

[tex]y=5.5(0)+79.5[/tex]

[tex]y=79.5[/tex]

Therefore, the y-intercept is 79.5. It means initial weight of sumo is 79.5 kilograms.

22 elephants is 65% of what
number of elephants?

Answers

Answer:

The Answer Is: 33.846153846154

round to the digit needed

Step-by-step explanation:

how do you solve this equation shown?
5x - 3(x + 9) + 10 = 4

Answers

X=21/2
X=10.5
X=10 1/2
There all right
Pls mark me brainliest

Answer:

[tex]x = \frac{21}{2}[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

5x − 3(x+9) + 10 = 4

5x + (−3)(x) + (−3)(9) + 10 = 4 (Distribute)

5x + −3x + −27 + 10 = 4

(5x+−3x) + (−27+10) = 4 (Combine Like Terms)

2x + −17 = 4

2x − 17 = 4

Step 2: Add 17 to both sides.

2x − 17 + 17 = 4 + 17

2x = 21

Step 3: Divide both sides by 2.

[tex]\frac{2x}{2} = \frac{21}{2}[/tex]

[tex]x =\frac{21}{2}[/tex]

Hope it helps!!

Savannah filled
up
her car with gas before embarking on a road trip across the
country. The car uses 1.5 gallons of gas for every hour driven and the capacity of the
gas tank is 15 gallons. Make a table of values and then write an equation for G, in
terms of t, representing the number of gallons of gas remaining in Savannah's gas
tank after t hours of driving.
Number of Hours Driven Number of Gallons Remaining in the Tank
0
1
llll
2
3

Answers

Answear:

G=T hope dissssssssss helps

You have a party of four that requested separate checks. The table's checks were for $35, $28, 942, and $22. With tips
you collect $144 from the table. Tips of over 15% indicate the service is good. Did tipping indicate good service at this table?
a) Yes
b)No

Answers

Answer:

No

Step-by-step explanation:

Answer: no

The total bill amounts up to $1,027.00. Fifteen percent of $1,027.00 is $154.05. The waiter received $144.00. Therefore she did not indicate good service.

Plz mark brainliest:)

Write the question the symbols represent, then solve it.
f(-2)=-3+2x^2

Answers

Answer:

f(-2) = 5

Step-by-step explanation:

Step 1: Define

f(x) = -3 + 2x²

f(-2) is x = -2

Step 2: Substitute and Evaluate

f(-2) = -3 + 2(-2)²

f(-2) = -3 + 2(4)

f(-2) = -3 + 8

f(-2) = 5

. Three out of four students in school have at least one sibling. If there are 300 students in your school, how many would have at least one sibling?

Answers

Answer: 225 students would have at least one sibling.

Step-by-step explanation:

Three out of four is the same as  3/4 meaning that if there are 300 students in your school then 3/4 times 300 will give the number of students with at least one sibling.  

3/4 * 300 = 225  

This means 225 students would have at least one sibling.

it would be 225

.75 x 300 = 225

0.55 minute to 0.1 minute

Answers

Answer:

81.8182% decrease

Step-by-step explanation:

(V2−V1)|V1|×100

=(0.1−0.55)|0.55|×100

=−0.450.55×100

=−0.818182×100

=−81.8182%change

=81.8182%decrease

Were rotations or translations harder for you to learn? Please explain why.

Answers

Answer:

yes

Step-by-step explanation:

bc  when u do rotations you have to do it step by step and if u miss a step u wont get in right

Answer: Rotations

Step-by-step explanation:

Because the conversions are a bit tricky to deal with.

hey i need help what is 3 squared 6x7

Answers

Answer:

378

Step-by-step explanation:

use the order of operations (PEMDAS)

3²6×7

9×6×7. solve the EXPONENT

54×7. MULTIPLY left to right

378. multiply one last time

Answer: 1512 maybe

Step-by-step explanation:

I will give Brain list plz help !!!!!

Answers

Answer:

140

Step-by-step explanation:

Evaluate 3x^2+1 when x=-1

Answers

Answer:

10

Step-by-step explanation:

3(-1)=-3

-3^2=9

9+1=10

Find 3 consecutive odd integers such that 1 less than 3 times the larger is equal to the sum of twice the first and twice the second number. Please explain why and with steps.

Answers

Answer:

7, 9, 11

Step-by-step explanation:

If x is the smallest of the integers, then x+2 is the next consecutive odd integer, and x+4 is the largest odd integer.

1 less than 3 times the largest is equal to the sum of twice the first and twice the second.

3(x+4) − 1 = 2x + 2(x+2)

3x + 12 − 1  = 2x + 2x + 4

3x + 11 = 4x + 4

7 = x

The integers are 7, 9, and 11.

2-2+5+1-3*55+12-33*98​

Answers

Answer:

-3054

hdjsfahjkdhfjkdsaf

You are selling pizzas to raise money for a school field trip. Cheese pizza cost $8 and pepperoni pizza cost $9. You need to sell at least two of each kind of pizza, and you want to sell at least $180 worth of pizza. Write an inequality.

Answers

Answer:  $180 ≤ 8c + 9p

Decrease $820 by 32%​

Answers

Answer:

557.6

Step-by-step explanation:

Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

32% = 32/100 = 32 ÷ 100 = 0.32.

100% = 100/100 = 100 ÷ 100 = 1.

Percentage decrease = 32% × 820

New value =

820 - Percentage decrease =

820 - (32% × 820) =

820 - 32% × 820 =

(1 - 32%) × 820 =

(100% - 32%) × 820 =

68% × 820 =

68 ÷ 100 × 820 =

68 × 820 ÷ 100 =

55,760 ÷ 100 =

557.6

Answer:

32/100 × 820

council the zeros

32/10 × 82

32× 82/10

2624/10

= 262.4

Step-by-step explanation:

there's ur answer

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