Write down in terms of n, an expression for the nth term
of the following sequence
-8 -15 -22 -29 -36

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = - 7n - 1

Step-by-step explanation:

There is a common difference between consecutive terms , that is

- 15 - (- 8) = - 22 - (- 15) = - 29 - (- 22) = - 36 - (- 29) = - 7

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 8 and d = - 7 , then

[tex]a_{n}[/tex] = - 8 - 7(n - 1) = - 8 - 7n + 7 = - 7n - 1


Related Questions


PLEASE HELP ME I NEED HELP FAST PLEASEE

Answers

Answer:

20cm

Step-by-step explanation:

1. First find the area of the triangle

a = 1/2 × base × h

a = 1/2 × 10 × 11

a = 55cm²

2. Then times the area of the triangle by 8 to find the area of the rectangle

55 × 8 = 440cm²

3. Find the width of the rectangle:

The area of a rectangle is = l × w

22 × width = 440cm²

width = 440 ÷ 22

width = 20cm

Answer: Width = 20

Step-by-step explanation:

Give the area of triangle = x

So the area of rectangle = 8x

the area of triangle = (11 × 10) ÷ 2 = 55

So the area of rectangle = 8(55) = 440

The area of rectangle = W × L

So 440 = W × 22

W = 20

please give me a brainliest answer

Find the value of (2^2)^3. Then find the value of (2^3)^2. what is true about the results? Explain why.

Answers

Answer:

(2^2)3 = 2^6

(2^3)2 = 2^6

Step-by-step explanation:

There are various exponent rules. The problems that you were assigned must follow the power of a power rule:

(x^a)^b = x^a*b

Exponents must be multiplied according to this rule. Hope this helps.

want is385 rond to ten

Answers

Answer:

390

Step-by-step explanation:

5 or more, means round up.

So 385 ( 5 or above ) - round to the nearest tenths place...

= 390

Answer:

390

Step-by-step explanation:

The number in the tenth place is 80 so you look on the right, the number is 5. If the number is 5 or above, that means you go up. SO it's 390

PLEASE ANWSER CORRECTLY!! I WILL MARK BRAINIEST!! LOOK AT PICURE!!

Answers

Answer:

the answer is (2,4) because of going down one unit you end up at (-2,4) and reflecting that you get (2,4)

The polynomial f(x) = x³-x²+px+q, where p and q are constants, has remainder 8 when divided by (x-1). If (x+1) is factor of f(x), find the values of p and q​

Answers

Answer:p=-1 and q=1

Step-by-step explanation:

Answer:

p=3, q=5

Step-by-step explanation:

f(x) = x³-x²+px+q

factor: x+1 = 0   x = -1

(-1)³ - (-1)² + p*(-1) + q = 0

-2 - p + q = 0

p = q-2

(x-1) is factor of f(x) - 8, root x = 1 : f(x) = x³-x²+(q-2)x+q-8

(1)³ - (1)² + (q-2)(1) + q - 8 = 0

q - 2 + q - 8 = 0

2q = 10     q = 5

p = q-2 = 3

check: x³-x²+3x+5 = (x+1)(x²-2x+5)

x³-x²+3x+5 = (x²+3)(x-1) + 8

Could someone answer all 3 questions?

Answers

Step-by-step explanation:

a:

-2

b:

(-12m^5 * n^3) / (6m^5 * n^3)

c:

I don't what the two methods is,so I have no idea

Whats this game called

Answers

Answer:

It's Blurry

Step-by-step explanation:

sorry I don't lnow

Jetpack joyride… that’s an easy one

how do you turn 2/7 into a decimal (round in the Hundreds) Please helpppp

Answers

Answer:

Step-by-step explanation:.

The U.S. population in 1910 was 92 million people. In 1990, the population was 280 million. This could model either a linear or exponential growth. You will create both and then look at the true population increase and decide which model is closer the the true growth.

Which list of number below represent the growth from 1910 to 1990 as an exponential model? (jumping every 20 years)

Question 3 options:

92 mil, 105 mil, 173 mil, 220 mil, 280 mil


92 mil, 110 mil, 175.5 mil, 220.8 mil, 280 mil


92 mil, 121.4 mil, 160.3 mil, 211.6 mil, 280 mil


92 mil, 139 mil, 186 mil, 233 mil, 280 mil

Answers

Answer:

this answer is simply exponential growth also you did not put in a graph so i have to kind of improvise here  also this choice SHOULD be the answer: 92 mil, 139 mil, 186 mil, 233 mil, 280 mil

i did the math and this is what i got unless i did something wrong but either way hope this helps lol

Step-by-step explanation:

simply the following ​

Answers

Answer:

6x^6..........................


A Ricardo can paint a set of kitchen cabinet in 6 hours. His father can do it in 4 hours. How long
will a take them if they work together?


PLSSS HELPP MEE

Answers

The time it will a take them for both ricardo and his father to finish the painting if they work together is;

t = 2.4 hours

Time for ricardo to paint the set of kitchen cabinets = 6 hours

Time for Ricardo's father to finish painting = 4 hours

This means that ricardo in 1 hour paints 1/6 of the cabinets

His father in 1 hour paints 1/4 of the cabinets

If they work together, in one hour, they would have painted;

1/6 + 1/4 = 5/12 of the cabinet

If 5/12 of the cabinet is done in an hour,

then 12/12 will be done in; ((12/12) × 1)/(5/12)

⇒ 1 × 12/5

⇒ 2.4 hours

Read more at; https://brainly.com/question/8317268

The correct answer is:  " 2 hours and 24 minutes ";

or; write as:  " 2.4 hours " .

____

Step-by-step explanation:

[tex]\frac{x}{4} + \frac{x}{6} = 1[/tex]  ;  → { " 1 (one) whole job." }.

       We want to solve for "x" ; the total time, in "hours", that will take them if they work together.
        What is the LCD (least common denominator of "4" and "6" ?
→  Note that "4 * 6 = 24" ;  so, "24" would work, but let's see if we can find the LCD —a number less then "24" ;

4:  2, 4,  12, 16, 20, 24,

6: 1, 2, 3, 6, 12

⇒  We see that "12" is the LCD.
_____
So, " [tex]\frac{x}{4} = \frac{?}{12}[/tex] " ;  to solve for "?" ;

 →  4 * (what value?) = 12 ?
   →   12 ÷ 4 = (that value) ; ⇒   =  " 3 " .
 _____
So:  [tex]\frac{x}{4} = \frac{(x*3)}{(4*3)} = \frac{3x}{12}[/tex] ;
_____
 Now:  " [tex]\frac{x}{6} = \frac{?}{12}[/tex] " ; to solve for "?" ;

→  6 * (what value?) = 12 ?
   →   12 ÷ 6 = (that value) ;  ⇒   =  " 2 " .

 _____

So:  " [tex]\frac{x}{6} = \frac{(x*2)}{(6*2)} = \frac{2x}{12}[/tex] ;

Now:  →  [tex]\frac{x}{4} + \frac{x}{6} = 1[/tex] ;

Substitute our converted values:
         →   [tex]\frac{3x}{12} + \frac{2x}{12}=1[/tex] ;

Then simplify the "left-hand side" of the equation:
_____
        →   [tex]\frac{3x}{12} + \frac{2x}{12} = \frac{(3x+2x)}{12}[/tex]  = [tex]\frac{5x}{12}[/tex]  ;

Now, rewrite the simplified equation; and bring down the "1" :
_____

        →   [tex]\frac{5x}{12} = 1[/tex]   ;

Now, solve for "x" ; as follows:
_____
 ⇒   5x  =  ( 1 * 12 )  ;

  →   5x  =  12  ;

Now, divide Each Side of the equation by "5" ;

to isolate "x" on one side of the equation; & to solve for "x" (in hours):
 _____
  →   5x / 5  =  12 / 5  ;

_____
to get:   x =  (12/5) hours.
_____
Now:  We have (12/5) of 1 hour ;     24/10

Note the exact conversion:  " 60 min. = 1 hr." :

So, 12/5 of 60 minutes;

=  " [tex]\frac{12}{5}[/tex] * [tex]}\frac{60}{1}[/tex] "  (minutes) ;
____
The "5" cancels to a "1" ;  and the "60" cancels to a "12" :

  {since:  "60 ÷ 5 = 12" ;  & since:  "5 ÷ 5 = 1 " .}.

→ And we can rewrite as:
    " [tex]\frac{12}{1} * \frac{12}{1}[/tex] "  (minutes) =  "12 * 12" minutes =  144 minutes.
⇒  " 144 minutes" equals:  How many hours?  " 144 ÷ 60  =  2.4  hours " ;

or; more specifically:

⇒ We have "2 hours and _(some) minutes".

→ that is;  " 2 hours plus 0.4 hour(s) " .

 [tex]\frac{(0.4) hr}{1}*\frac{(60)min}{1 hr} = [(0.4)*(60)] minutes[/tex] ;

                              =  24 minutes.

____

Alternate method:
____
(12/5 hours) = (12 ÷ 5) hours =  
" 2.4 hours " ;  (and continue if desired).
____

So:  The correct answer is:  " 2 hours and 24 minutes ";

                                       or; write as:  " 2.4 hours " .

____
Hope this is helpful to you!  Best of luck!

____

Solve for x: -2|4x + 12| = -32 (5 points)
no solution
x = 1, x = -1
x = 1x = -7
x = -1, x = 7​

Answers

Answer:

x = 1, x = -7

Step-by-step explanation:

Step 1: Divide both sides by -2.

[tex]\frac{-2(|4x+12|)}{-2} = \frac{-32}{-2}[/tex] [tex]|4x + 12| = 16[/tex]

Step 2: Solve absolute value.

We know either 4x + 12 = 16 or 4x + 12 = -16.

1st Possibility:

4x + 12 = 164x + 12 - 12 = 16 - 12 (Subtract 12 from both sides)4x = 44x/4 = 4/4 (Divide both sides by 4)x = 1

2nd possibility:

4x + 12 = -164x + 12 - 12 = -16 - 12 (Subtract 12 from both sides)4x = -284x/4 = -28/4 (Divide both sides by 4)x = -7

Therefore, the answer is x = 1, x = -7.

If matrix A and B are inverses of each other,then A times B=I,where I is the identity matrix

Answers

We want to see if the given statement is true. (which is, by definition).

We define two inverse matrixes A and B as two matrixes that when multiplied are equal to a matrix with only ones in the diagonal.

This matrix with only ones in the diagonal (and zeros every else) is called the identity matrix.

Then the statement:

"If matrix A and B are inverses of each other, then A times B=I,where I is the identity matrix"

Is true by definition of inverse matrixes.

If you want to learn more, you can read:

https://brainly.com/question/4017205

Solve for x.

(8x -23)​

Answers

Answer:

x = 12

Step-by-step explanation:

Type the expression that results from the following series of steps:
Start with g, times by 7, then add 3.

Answers

Step-by-step explanation:

start with g and next times by 7 means multiply by 7 and add 3 to the result

7g+3

A boat traveled 17 miles in 2 hours. At this rate, how many miles will the boat
travel in 1/2
hour?

Answers

Answer:

Travels 4.25 miles in thirty minutes

Step-by-step explanation:

In order to find the answer to this question you need to first find how many miles the boat travels in a hour and then divide it once more to find how many miles it traveled in half a hour.

[tex]17\div2[/tex]

[tex]`7\div2=8.5[/tex]

[tex]2=17[/tex]

[tex]1=8.5[/tex]

[tex]8.5\div2=4.25[/tex]

[tex]=4.25[/tex]

Hope this helps.

Help please

3. A line passes through the points -6,-8 and -3,-7. What is the equation of the line in slope intercept form?

A. Y = 3x - 6

B. Y = 1/3x + 6

C. Y = 1/3x - 6

D. Y = 3x + 6

Answers

Answer:

the answer is C

Step-by-step explanation:

yeah-ya.... right?

12x - 4=4(2x+1) What is x?

Answers

Answer:

x = 2

Step-by-step explanation:

12x - 4 = 4(2x + 1)

Distribution first

12x - 4 = 4(2x) + 4(1)

12x - 4 = 8x + 4

Isolate x to one side

12x - 4 - 8x = 8x - 8x + 4

12x - 8x - 4 = 4

4x - 4 = 4

4x - 4 + 4 = 4 + 4

4x = 8

4x/4 = 8/4

x = 2


[tex]4 - x = 10[/tex]
what's the answer​

Answers

4 - x = 10

-x = 10 - 4

-x = 6

x = -6

Answer:

x = -6

Step-by-step explanation:

[tex]4-x = 10\\\\4 = 10 + x\\\\4-10 = x\\\\x = -6[/tex]

Feel free to mark this as brainliest! :D

Someone help please?

Answers

Answer: x = -11

Step-by-step explanation: 85-96=-11 so -11+96 = 85 they are paralel to each other and have the same angle so yeahhhh...

please help me.... duogqfhefbjehfyugihkbjnfjkhdsg

Answers

Answer:

B. 12w + 62 = 242 is the answer  Happy to Help :)

Step-by-step explanation:

pls help!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

it's triangle, all corners sums 180

11X+6=40+7X+2

X=9

pls help!! using the pythagorean theorem !!!

Answers

Answer:

≈8.66

Step-by-step explanation:

Pls mark me brainliest :))

Answer:

h= 8.7 cm

Step-by-step explanation:

5^2 + h^2 = 10^2

25 + h^2 = 100

25-25= 0   100-25=75

h^2 = 75

[tex]\sqrt{75}[/tex]= 8.7

h=8.7

hope this helps :)

please crown me brainliest!!!!!

Which is larger?
A) 52
B) 33
o
А
OB

Answers

Answer: 3 to the third power

Step-by-step explanation: 3x3x3=27

                                             5x5=25          27 is bigger that 25

hope this helped!

I need help on numbers 1 and 2, please

Answers

Answer:

2 would be a':-8,-8 b': -8,4 c': 8,10 d': 8,-6

"A number Y increased by 25"

Answers

Hello There!

The Answer to your Question is

y+25

plus also means "increased"

No matter what y is, if we add 25, we increase it by 25.

Hope this helps you! :)

[tex]GraceRosalia[/tex]

the rule f(x)=50x - 8.5 represents the amount of a drug in milligrams, f(x), which remains in te blood stream after x hours. evaluate f(1.5)

Answers

Answer:

66.5

Step-by-step explanation:

which ordered pair is a solution of the equations y=-5/4x-2


A.(-8,8)

B.(8,-8)

C.(-8,-12)

D.(1, 15/4)

Answers

The answer is C. That would be ur answer

3 ( 7+4)squared -14÷7

Answers

Answer:

43921

Step-by-step explanation:

sketch the graph of each equation y=-5x



for the down line it goes till -10

Answers

Step-by-step explanation:

After you find y when x is the following you apply points on graph to get a straight line.

Other Questions
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