What is the explicit formula for this arithmetic sequence?
-12,-17, -22, -27, ...

Answers

Answer 1

Answer:

Step-by-step explanation:

An explicit arithmetic formula in standard form is

[tex]A_n=a_1+d(n-1)[/tex] where n is the position of a number in thesequence, a1 is the first number in the given sequence, and d is the common difference. The common diff here is -5 since we have to subtract 5 from each term to get to the next one in the sequence. The first number is -12. So

a1 = -12

d = -5 and the explicit formula is

[tex]A_n=-12-5(n-1)[/tex] and you could simplify it a bit to

[tex]A_n=-12-5n+5[/tex] and finally to

[tex]A_n=-5n-7[/tex] which is a linear representation. Arithmetic sequences can all be simplified down to represent lines.


Related Questions

PLS HELP!!!!!!!ASAP PLS

Answers

Answer:

I think its c or D

Step-by-step explanation:

If its wrong im sorry

Solve for x in the triangle. Round answer to the nearest tenth.

Answers

Answer:

6.3

Step-by-step explanation:

[tex]sin(\alpha)= \frac{O}{H}[/tex]

[tex]sin(44)=\frac{O}{9} \\O=9sin(44) \\O=6.25\\O=6.3[/tex]

Answer:

9.3

Step-by-step explanation:

9/ tg44 = 9.31677018634

Rounded by the nearest tenth= 9.3

PLS HELP I KEEP GETTING SPAMMED PLEASEE

EXPLANATION = BRAINLIEST

the area of the triangle is ____ square in

Answers

Answer:

A = 56 Sq.in

Step-by-step explanation:

A = H x B/2

A = 8 x 14

= 112/2

= 56

THank you!!

The fuel for a chain saw is a mix of oil and gasoline. The label says to mix 5 ounces of oil with 11 gallons of gasoline. How much oil would you use if you had 22 gallons of gasoline?

Answers

Answer: 10 ounces

Step-by-step explanation:

Given

The label says to mix 5 ounces of oil with 11 gallons of gasoline

for 22 gallons of gasoline that is, double the previous amount, oil required would also be doubled.

Oil required would be 10 ounce.

Find the missing side

Answers

Answer:

Use Mathpapa to find using formula:

55^2+19^2=c^2

Step-by-step explanation:

I can't straightforward give you answers; it'll ruin your chances of going to university! Hopefully you learned the concept.

the graph of x =-2 is a line parallel to the​

Answers

Answer:

If we know that the equation of the line [tex]x = -2[/tex] is parallel to the y-axis.

Step-by-step explanation:

The equation of a line parallel to the y-axis is of the form [tex]x = a[/tex], where [tex]a[/tex] is the x-coordinate of the point of the line passing through the x-axis. Then, if we know that the equation of the line [tex]x = -2[/tex] is parallel to the y-axis.

2x-1+3x=0 5x-1=0 how can we get equation b from a

Answers

2x - 1 + 3x = 0
2x + 3x - 1 = 0
(2 + 3)x - 1 = 0
5x - 1 = 0

Rewrite one side (or both) by combining like terms.

What is equation?

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

2x – 1 + 3x = 0..........(A)

5x – 1 = 0................(B)

To get Equation B from A, we would rewrite one side (or both) by combining like terms

2x – 1 + 3x = 0

5x – 1 = 0

Learn more about equation here:

brainly.com/question/10413253

#SPJ7

ans this equation pls

Answers

Answer

625

if this helped give brainliest and thanks!!

Answer:

625

Step-by-step explanation:

[tex](-2)^{4}[/tex]* ([tex]\frac{5}{2}[/tex])^4

16 * 5^4/2^4

16 * 625/16

10000/16

625

The lenten on a map states that 1 inch is 40 miles. If you measure 5 inches on the map, how many miles would the actual distance be?

Answers

Answer:  200 miles

===============================================

Work Shown:

(1 inch)/(40 miles) = (5 inches)/(x miles)

1/40 = 5/x

1*x = 40*5 .... cross multiply

x = 200 miles

------------

We could also look at it like this:

1 inch = 40 miles

5*(1 inch) = 5*(40 miles) .... multiply both sides by 5

5 inches = 200 miles

Find the measure of /_2.

45°
120°
30°
90°

Answers

Answer:

45°

as triangle is right angled and inside a quater of a square it is isosceles

so both 2 and 3 are 45°

Context: You and your friends go to the state fair. It costs $6 to get into the fair and $2 each time you go on a ride. Where do you see the y-intercept in the table and in the equation?​

Answers

Answer:

see below

Step-by-step explanation:

The y intercept is when x =0  

The equation is y =2x+6

The equation is in the form y = mx+b.  It is the constant added to the equation.

In the table it is the y value when x =0

The graph compares the scores earned by 100 students on a pre-test and a post-test.

Two box and whisker plots showing Pre-Test and Post-Test scores on a number line from 0 to 100. The upper plot represents the pre-test scores. For this upper plot, the minimum number is 0, the maximum number is 78, the right side of the box is 60, the left side of the box is 16, and the bar in the box is at 30. The lower plot represents the post-test scores. For this lower plot, the minimum number is 4, the maximum number is 100, the right side of the box is 83, the left side of the box is 30, and the bar in the box is at 45.

About how many more students scored greater than 30% on the post-test than on the pre-test?


15

Answers

Answer:

25 more students

Step-by-step explanation:

30% mark represents:

50% on pre-test and 25% on post test.

So

50% of 100 = 50 students scored greater than 30%75% of 100 = 75 students scored greater than 30%.

The difference is:

75 - 50 = 25 students

Answer:

25 students

Step-by-step explanation:

What is the product?

Answers

Answer:

-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³

Step-by-step explanation:

( - 6a³b + 2ab²)( 5a² - 2ab² b)

multiply the second parantheses by each term from the first parantheses.

-6a³b×(5a²- 2ab²b -b)+2ab×(5a² -2ab²b-b)

-6a³b× (5a² - 2ab² b) +2ab × (5a² - 2ab² b)

-30 a⁵b + 12a⁴b² + 6a³b²+ 10a³b² - 4a²b⁴ - 2ab

combine like terms

-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³

I'm not good with cel, please help!

Answers

Answer: -25

Step-by-step explanation: Please give brainliest.

Answer:  -25 degrees Celsius

=========================================================

Explanation:

Draw a vertical number line. Plot -20 on it. Then move 5 units down to arrive at -25. Think of it as a thermometer where the temperature can be measured below 0 degrees, or you could think of it like floors of a building. Negative values would be basement floors.

The diagram below describes what's going on when we compute -20-5 = -25.

A man is now 3 times as old as his son. In 10 years time, the sum of their ages will be 76.
How old was the man when his son was born?​

Answers

Answer:

28

Step-by-step explanation:

A man is now 3 times as old as his son.

m = 3s

In 10 years time, the sum of their ages will be 76

(m + 10) + (s + 10) = 76

Subsitute for m = 3s

(3s + 10) + (s + 10) = 76

4s + 20 = 76

4s = 56

s = 14

m = 3s = 14 * 3

m = 42

------------------------

How old was the man when his son was born?

m - s = 42 - 14

m - s = 28

What is the measure of angle ABC?​

Answers

Answer:

A

Step-by-step explanation:

from a to b to c it makes the angle 75 degrees im 90 percent sure

Answer:

Step-by-step explanation:

ABC = (1/2)(75 +45)

ABC = 60º

. -5, 10, 7, 10, 9, 0, 1, 9, -1, 5 Work out the mean.

Answers

Answer:

6

Step-by-step explanation: because its online

help appreciated !!!!

Answers

Answer:

Step-by-step explanation:

The circle is divided into 5 sections. The probability that the needle lands on a particular color is equally likely.

   So,

        [tex]P(red) = \frac{1}{5}\\\\P(green) = \frac{1}{5}\\\\[/tex]

   Probability of not blue = 1 - Probability of blue

                                      [tex]= 1 - P(blue)\\\\=1 - \frac{1}{5}\\\\= \frac{4}{5}[/tex]

The sum of a number and its square is 12 . Find the number

Answers

Answer:

Two solutions

3

-4

Step-by-step explanation:

3 + 3²

3 + 9 = 12

-------------------

-4  + (-4)²

-4 + 16 = 12

a) Al triple de un número le restamos 9 y se obtiene 30, ¿cuál es ese número?

Answers

El numero es 13 porque 13x3= 39 y 39-9= 30.

A bag contain four black B) and
three R balls. The ball drawn from
the bag, without replacement. Find the
Proberbility of drawing the balls in
the Order B,R B,R B,R and B​

Answers

Answer:

6912 / 823,543 or approximately 0.8%

Step-by-step explanation:

4 black

3 red

7 total

P(B) = 4/7

P(R) = 3/7

4/7 x 3/7 x 4/7 x 3/7 x 4/7 x 3/7 x 4/7 = 6912 / 823,543

I If the game with 3 hits is considered to be recorded in error, it might be removed from the data set. If that happens a. What happens to the mean of the data set? b. What happens to the median of the data set? plot data- 2(0) 3(1) 4(0) 5(0) 6(0) 7(2) 8(4) 9(5) 10(4) 11(4) 12(0) 13(0) .please help​

Answers

Answer:

If the game with 3 hits is ignored the data becomes:

7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11

a) The mean will increase.

With 3:

(3 + 7*2 + 8*4 + 9*5 + 10*4 + 11*4)/20 = 8.9

Without 3:

(7*2 + 8*4 + 9*5 + 10*4 + 11*4)/19 = 9.21

b) The median will remain as is.

With 3 and without the median is same = 9

A pipeline is to be run to a resort community which is on an island 16 kilometres from the closest point on the shoreline. The water source for the pipe is 30 kilometres down the shore. If it costs $500/km to lay pipe through water and $300/km to lay pipe on land, at what point on the shoreline should the pipe turn into the water to minimize cost? What is the total cost?

Answers

Answer:

hi pero love youkiss you

Step-by-step explanation:

helli

What is 4-3 written in expanded form?

Answers

Answer:

four minus three

Step-by-step explanation:

your welcome

find the value of x
7
17
x*

Answers

Answer:

the awnser is 24

if the pressure is 50 Pa and the mass of the object is 50 kg ,what is the surface area of the object?

Answers

Answer:

9.81m^2

Step-by-step explanation:

Given data

Pressure P= 50Pa

Mass M= 50kg

Weight= Mg= 50*9.81= 490.5N

Hence Force= 490.5N

We know that Pressure= Force/Area

Substitute

50= 490.5/Area

Area= 490.5/50

Area= 9.81 m^2

Hence the area is 9.81m^2

Out of 113 students, it was found that 18 drink neither tea nor coffee, 67 drink tea and 37 drink coffee.Find:
i) How many students drink coffee only?
ii) How many students like tea only?
Also show in the Venn diagram?​

Answers

Answer:

Step-by-step explanation:

does anyone know how to do this ?

Answers

Answer:

i^85 = i

A way you can solve this is divide 85 by4

The remainder is one right? that means i^85 is the same as i^1. remember, i^1 = i.

I think it B it’s like simplifying imaginary numbers

Ranking brainliest if correct !!!

Answers

Answer:

Step-by-step explanation:

Anybody know the answer ?

Answers

Answer:

its a

Step-by-step explanation:

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