What is the 40th term of the arithmetic sequence?

21, 18, 15, 12, 9,...


−96


6


138


−99

Answers

Answer 1

Answer:

We start off with 21 as the first term. So a1 = 21

The common difference is d = -3 because we subtract 3 each time to get from one term to the other (eg: 21 to 18 is minus 3)

The nth term of an arithmetic sequence is found by using this formula

an = a1 + d(n-1)

let's plug in the values we have so far to get

an = 21 + (-3)(n-1)

an = 21 - 3(n-1)

an = 21-3n+3

an = -3n+24

Why do this? Well it's helpful so we can find any term in the formula we want. In this case, we want the 40th term. So just plug in n = 40 from here and you're done

an = -3n+24

a40 = -3*40+24

a40 = -96

pointing you to the answer of choice B) -96


Related Questions

Find the equation in slope-intercept form that describes line.
A line through (-1, 1) and (2,3)

Answers

Answer:

y = 2/3 x + 5/3.

Step-by-step explanation:

Slope m = (3-1)/(2-(-1)) = 2/3.

y - y1 = m(x - x1)

y - 1 = 2/3(x - (-1))

y - 1 = 2/3(x + 1)

y - 1 = 2/3 x+ 2/3

y = 2/3 x + 5/3.

victor want to make a book tower of height 48 cm .If the thickness of book is 12 mm ,how many books will he need to make the desire height ?​

Answers

Answer:

40

Step-by-step explanation:

1. Change 48 cm to mm, which will give you 480 mm

2. Divide 480 mm by 12 mm, that will give you 40

Therefore, Victor needs 40 books to make his desired height.

What do I put in the blank box? Could you also add step by step explanation? If you cant its fine :)

Answers

Answer:

its 34/5

Step-by-step explanation:

change that mixed fraction by simply multiplying 6×5 then add 4 you'll get 34 then place it over the denominator 5 =34/5........ hope it helps

Given: WX congruent yz
Prove: WYXZ

Answers

 Answer:

    Segment Addition

Step-by-step explanation:

1. WX ≅ YZ                            Given

2. XY = XY                             Reflexive

3. WX + XY ≅  YZ + YZ       Addition

4.  WY ≅ XZ                         Substitution/ Segment addition

A radio station requires DJs to play 2 commercials for every 10 songs they play. What is the unit rate of songs to commercials.​

Answers

Answer:

5 : 1 or 10 : 2

Step-by-step explanation:

Which polynomial function has a leading coefficient of 1, roots -2 and 7 with multiplicity 1, and root 5 with
multiplicity 2?
Of(x) = 2(x + 7)(x + 5)(x - 2)
Of(x) = 2(x-7)(x - 5)(x + 2)
Of(x) = (x + 7)(x + 5)(x + 5)(x - 2)
of(x) = (x-7)(x-5)(x - 5)(x + 2)
Mark this and return
Save and Exit
Next
Sb

Answers

Answer:

of(x) = (x-7)(x-5)(x - 5)(x + 2)

Step-by-step explanation:

I need help pleaseeeee

Answers

Answer:

b

Step-by-step explanation:

5 5/16

Answer:

5 and 5/16

Step-by-step explanation:

only answer bottom one!! brainliest + 5 stars & a heart <3

Answers

Answer:

$119.98

Step-by-step explanation:

She wants to know how much her membership will be so sence it $59.99 an month you times that by 2, 59.99 × 2 =119.98 and if your rounding

119.98 rounded to nearest whole number is 120

420 seconds to 10 minutes

Answers

Answer:

420 seconds is equal to 7 min

So 7 to 10 or 7 : 10

pls brainliest

These are the steps that you should follow in order to make the necessary calculations to convert 420 Seconds to Minutes. In order to convert from [s] to [min], we have to devide the amount of Seconds by 60.

Then the second step, is to substitute the amount of Seconds with the value of 420 and calculate the division. After successfuly calculating it the result should for 420 Seconds to Minutes should be 7

So 7 to 10 or 7 : 10

Hope this helped!

Have a great day

can someone help me ??

Answers

Answer:

x=5

Step-by-step explanation:

Brainliest?PLEASE?

Answer: x=-5

I hop that helped I would appreciate brainliest if possible :)

Identify the domain and range of the following relation. {(7,-2), (7,4), (7,6), (7,-4), (7,1)

Answers

Answer:

look at explanation

Step-by-step explanation:

domain= all the 7s

range: -2, 4, 6, -4, 1

Please help
10 points and I will give you brainliest

Answers

Step-by-step explanation:

here u go.

hope it helps you

Answer:

-10

Step-by-step explanation:

5ab-4bc+8ab+9=

1) 5ab+8ab=13ab

2) 13ab-4bc=b(13a-4c)

3) b(13a-4c)+9= (-1)( 13×3-4×5)+9= -19+9= -10

Help me with this questionnnnn

Answers

Each bottle of juice costs $1.05

because 26.91-1.71 = 25.2/24 = 1.05

If Keenan makes a basket with 6 apples, what is the ratio of apples to oranges written as a fraction?

Answers

the answer i believe is 6:4

The ratio of apples to oranges, written as a fraction If Keenan makes a basket with 6 apples, is 5 / 4.

What is a fraction?

Only verbal descriptions of a portion of the whole were used to write fractions in ancient Rome. The numerator and denominator of fractions are first written in India with one number above the other but without a line. The line used to divide the numerator and the denominator were only added by Arabs.

Given:

For every 4 oranges, there are 5 apples,

Keenan makes a basket with 6 apples,

Calculate the number of oranges as shown below,

The number of oranges = 4 / 5 × 6 = 24 / 5

Calculate the fraction of apples to oranges as shown below,

Ratio = The total number of apples / The number of oranges

Ratio = 6 / 24 / 5

Ratio = 30 / 24

Ratio = 5 / 4

Thus, the ratio is 5 / 4.

To know more about fractions:

https://brainly.com/question/61672

#SPJ5

The complete question is:

For every 4 oranges, there are 5 apples, If Keenan makes a basket with 6 apples, what is the ratio of apples to oranges written as a fraction?

g(-4)
if g(x)=x^2 - 4x

Answers

[tex]g(-4)[/tex]

[tex]g(x)=x^2 - 4x[/tex]

[tex]g(-4)=(-4)^2-4(-4)[/tex]

[tex]g(-4)=16-4(-4)[/tex]

[tex]g(-4)=16+16[/tex]

[tex]g(-4)=32[/tex]

Answer: g(-4) = 32

Question
Keith has $450 in a savings account at the beginning of the summer. He wants to have at least $120 in the account by the end of the summer. He withdraws $55 each week for food, clothes and move tickets. How many weeks can Keith withdraw money from his account?

Answers

450-120=330
55*6=330
6 weeks

Solve: (x - y)/(sqrt(x) + 1) = 2 + (sqrt(x) - 5)/3​

Answers

I think it might be:

Flying at an average speed of 525 miles per hour, how far can a
passenger fly in 2 hours, in 3 hours, and in 4 hours?

Answers

Answer:

In 2 hours: 1050 miles

In 3 hours: 1575 miles

In 4 hours: 2100 miles

Step-by-step explanation:

Multiply 525 by the number of hours to get each answer.

What are two numbers whose product is 81 and their sum is -18?

Answers

Answer:

-9

Step-by-step explanation:

-9  * -9 = 81

-9 + -9 = -18

Answer: -9

t (x) = 5x^2- 3x+4, what is the value t (-3)?

Answers

the answer is t(-3) = 58

explanation:
t(x) = 5x^2 -3x +4
t(-3) = 5(-3)^2 -3(-3) +4
t(-3) = 5(9) -3(-3) +4
t(-3) = 45 + 9 + 4
t(-3) = 58

OMG PLS HELP ME N ANSWER

Answers

it is the second one or B

Answer:

Step-by-step explanation:

In mathematics, a function is any expression that produces exactly one answer for any given number that you give it. The input is the number you feed into the expression, and the output is what you get after the look-up work or calculations are finished.

So I believe B.

I need help with this question:

Answers

Answer:

a)    #4    vertical angles are congruent

b)    # 1   ∠3 ≅ ∠7

c)    # 6   Transitive property

Step-by-step explanation:

    a. Vertical angles - opposite angles that are equal.

    b.  corresponding angles - in the same place but on different parallel lines

          and are equal.

     c. a = b, b = c  so a = c

Which of the following is not true?


p+q = q+p
p x q = q x p
p x (q x r)=(p x q ) x r
p - q = q - p



Plz answer my exam is going on right now

Answers

Step-by-step explanation:

the number 4 is false

p-q =-(q-p)

HELPOOPPPOOPFOLFMTMR ME

Answers

Answer:

1.) 2y        2.) 14y

Step-by-step explanation:

what is 1+1?? i think its 11 bc yea like who even says that its 2?? GET YOURSELF TOGETERRRRRR EHHHEHEHEHEHEH <33. 6

Answers

the correct is 2 Explanation: 1 + 1
LOLYOUR THE FIRST ON WHO I HEARD SAY THAT. SO HAVE TO GIVE YOU, FIVE STARS, AND A LIKE. PLUS A FRIEND REQUEST.

Can you help me solve this please

Answers

adhir man gati kam ke prachin kaun charitra hai iska uttar kya hoga


2)
Where is the opposite of -10 located on a number line?
ght
X
A)
to the left of o
he
ning
1.28
Cools
B)
to the right of 0
C)
to the right of 12
D
to the left of -10?

Answers

Answer:

B

Step-by-step explanation:

the opposite of -10 is 10

10 being bigger than 0 would therefore be to the right of 0

Answer:

B

Step-by-step explanation:

The opposite is positive 10. Negative 10 is the left to 0 and positive is always to the right of 0. Hope that helps <3

classify the equation as having one solution no solution or infinite solution

4(9x+6)=36x-7 And the solution is x=

Answers

Answer:

no solution

Step-by-step explanation:

4(9x + 4) = 36x - 7 ← distribute parenthesis on left by 4

36x + 16 = 36x - 7  ( subtract 16 from both sides )

36x = 36x - 23 ( subtract 36x from both sides )

0 = - 23 ← False statement

This indicates the equation has no solution

Write the equation of the parabola in vertex form.
vertex (3,1), point (2, - 4).
f(x)=
)
w

Answers

f(x) = 5(x - 3) + 1

Find slope by using the vertex point and the other point given. You get 5. Then the vertex point is just the opposite x and the number after the parentheses.

ASAP HELP 100 POINTS a segment with end point A(3,1)and B(-1,-1) is rotated 90drgrees about the orgen what are the dcoordinates of a prime and b prime

Answers

Answer:

second one

Step-by-step explanation:

View the attachment

Option B is correct

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