Find the 61st term of -12, -28, -44,

Answers

Answer 1

Answer:

[tex]a_{61}=-972[/tex]

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the first terms of a sequence:

-12, -28, -44,...

Find the common difference by subtracting consecutive terms:

r = -28 - (-12) = -16

r = -44 - (-28) = -16

The first term is a1 = -12. Now we calculate the term n=61:

[tex]a_{61}=-12+(61-1)(-16)[/tex]

[tex]a_{61}=-12-60*16=-12-960[/tex]

[tex]\mathbf{a_{61}=-972}[/tex]


Related Questions

Kelly is paid $20 to babysit for 8 hours. How much is she paid per hour?
A. $2.50
B. $2.00
C. $22.50
D. $12.00​

Answers

Answer:

A) 2.5

Step-by-step explanation:

20/8 = 2.5

Answer:

$2.50 per hour

Step-by-step explanation:

$20 / 8 hour$2.5 per hour

PLSSSSSS I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
25 points!!!

Simplify the Expressions:
[tex]\sqrt{(3-\sqrt{19})^{2} }[/tex]

Answers

Answer:

3 - [tex]\sqrt{19}[/tex]

Step-by-step explanation:

[tex]\sqrt{(3 - \sqrt{19})^2}[/tex]

The ^2 in the square root cancels each other so

3 - [tex]\sqrt{19}[/tex]

Answer:

[tex] \sqrt{19} - 3[/tex]

Step-by-step explanation:

sqrt (3 - sqrt 19)²

|3 - sqrt 19|

= sqrt 19 - 3

If line a and b are parallel,Which angles are vertical angles ?

Answers

Answer:

d

Step-by-step explanation:

Answer:

C, ∠7  and  ∠3

100% Sure

The table shows the cookie sales for Tina's troop. If each box costs $3.50, show two ways that

HELP PLZ!!!
Tina could find the troop's total cookie sales.
Kind of Cookie
Mint
Vanilla sandwich
Peanut butter
Number of Boxes
60 boxes
42 boxes
56 boxes

Answers

Answer:

you can multiply the number of cookies with the cost of each box

Step-by-step explanation:

60 (number of boxes) x 3.50 (the cost for each box) = $210

42 (number of boxes) x 3.50 (the cost for each box) = $147

56 (number of boxes) x 3.50 (the cost for each box) = $196

I hope this helpsss :)

WILL GIVE AS MUCH POINTS AS I CAN BC THIS IS A THROW AWAY ACCOUNT (Nvrm you guys just ganna cop the points and give me a swamp answer). WILL MARK BRAINLYEST.
1) write the equation

2) Generate at least two ordered pairs


1) Bob sold burgers for $6 and milkshakes for $4. At the end of the day, he made $422.

2) Bob paid a $25 sign-up fee for streaming content, plus $12 per month for his subscription

Answers

Answer:

1 is     6x+4y=422

2 is     (12,25)

i dont think 2 is right im really sorry about that- but im like kinda confident for one. i would also check with someone else tho

Answer:

3fftedvvvte4ffff

Step-by-step explanation:

ggvggrrrvvg

HELP IM BAD AT THESE KIND OF STUFF​

Answers

Answer:

The total surface area is 782 inches

Step-by-step explanation:

I do not know the lateral answer sorry

A 4 inch by 6 inch picture is placed in a gram that creates a uniform border of x inches around the picture

Answers

Answer:

1.5 inches.

Step-by-step explanation:

A picture measuring 4 inches by 6 inches is placed inside a frame which has equal width around the entire picture.

The area of the frame and the picture is 63 square inches.

can u pls help me with this question ​

Answers

Answer:

3 miles per hour

Step-by-step explanation:

his speed is 12/4 (or 3) miles an hour. What you do, is you have to multiply 15 by four to go from 15 min to one hour, and you also have to multiply 3/4 by four.

4(x-6y) i really need help on this!

Answers

Answer:

you should simply distribute it 4x -24y that mean you should × 4 by x and 4by 6y then you will get the answer

Bo big cookies for two hours and 30 minutes he finished baking at 8:30 PM when did bo start baking

Answers

Answer:

6:00 pm

Step-by-step explanation:

Help me please......

Answers

Answer:

g(x) = (x-8)^2 - 5

Step-by-step explanation:

subtracting from x inside of the square translates the function to the right and adding to x inside of the square translates it to the left.

(x-8)^2 - 1  translates the function 8 units to the right

subtracting from the constant translates the function down and adding translates it up.

x^2 - 5 translates the function 4 units down

Therefore, (x-8)^2 - 5 translates the function 8 units to the right and 4 units down

Which of the following is equivalent to 2x(4x3)

Answers

Where are the choices

The scale factor of a model plane to the actual plane is 1 to 25.
Find the wing area of the model if the wing area of the actual plane is 300 ft2
.

Answers

Step-by-step explanation:

Length on model : Length on actual = 1 : 25

=> Area on model : Area on actual

= 1² : 25² = 1 : 625.

Therefore area on model = 300ft² * (1/625) = 0.48ft².

How can u find the perimeter in a graph

Answers

Yeah you should try khan academy or Ytube

Help please.....its due today

Answers

Heyyy the error is -X where it happened was they didn’t do -4x-3x which get you -7x it supposed to look like this “2x^2y+xy^2-7x not 2x^2y+xy^2-x

“I hope this help us need anything just come back to me”

Jessica can do 60 jumping-jacks in 2 minutes. Which of the following is an equivalent rate

Answers

30 i think, i’m not entirely sure

Please Help

Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.

A(-6, 9), B(2, 1); Ratio 5 to 3

Answers

Answer:

The coordinates of the point P = (x, y) = (-1, 4)

Step-by-step explanation:

Let the coordinates of P be (x, y)

(x₁, y₁) = (-6, 9)(x₂, y₂) = (2, 1)ratio = m:n = 5:3

Using the section formula

x = [(mx₂ + nx₁)] / [(m+n)]

   = [5(2)+3(-6)] / [5+3]

   = [10-18] / [8]

   = -8/8

    = -1

y = [(my₂ + ny₁)] / [(m+n)]

   = [5(1)+3(9)] / [5+3]

   = [5+27] / [8]

   = 32/8

    = 4

Therefore, the coordinates of the point P = (x, y) = (-1, 4)

What does "(-2)(6)" mean

Answers

Answer:

Step-by-step explanation:

it means that you do negative 2 times 6. That is -2 x 6, which is -12

Answer:

implied multiplication

Step-by-step explanation:

(-2)(6)

When two parentheses are next tow each other, there is implied multiplication

-2 * 6

-12

whats 1 + 1? brainly to who could answer

Answers

Answer:

i think its 4

Step-by-step explanation:

Find the p value for a right tailed test about a mean with n=36 and test statistic t=46.2766 at 90% confidence level

Answers

Answer:

b

Step-by-step explanation:

Mrs. Smith sells houses. She gets a 7% commission on all sales. How much
commission would she earn on a house that sales for $175,000?
Your answer

Answers

Answer:

The commission would be $12,250.00.

Pls Help meh!! I have more Questions based on math coming up in a few seconds Juss pls give meh the best answer

Answers

Answer:

27!!! I did the test you just have to divide

Answer:

Step-by-step explanation:

35 + 25h=45 what does it equal

Please help me!!! I’ll mark Brainlyest!

Answers

Answer:

12/6 2 is the best answer

Plug in 12 into x , and 2 into y.
This gives you 12/3(2).
3 x 2 = 6
12/6 can be simplified as 2.
B is the answer :)

1 block: 19 houses = 20 blocks:???? Houses?

Answers

Answer:

380

Step-by-step explanation:

as 1 block =19 houses

so 20 blocks*19= 380 houses

Answer: 380

Step-by-step explanation: 19 x 20 = 380

please help asap i dont understand at all

Answers

Answer:

Reflect shape A over the y-axis and vertically translate shape A downward 1 unit.

Flip to the Right, And Down 1 Time.

Multiplication Property of One
1⋅w⋅16

Answers

Answer:

The correct answer is 16w.

Step-by-step explanation:

w = 1w

1⋅w⋅16 =

1⋅1w⋅16 =

16w

Therefore, the correct answer is 16w.

Hope this helps! :D

In ΔDEF, if DE ≅ DF and EF is the hypotenuse, then ΔDEF is
a acute and scalene. c. right and isosceles.
b right and scalene. d. obtuse and isosceles.

Answers

Answer:

C. Right and isosceles

Explanation:

Since two sides of the triangle are equal in length ([tex]DE[/tex] and [tex]DF[/tex]), this means that the triangle is an isosceles triangle. Since [tex]EF[/tex] is the hypotenuse of this triangle, it also means that the triangle is a right-angle triangle (the hypotenuse refers to the longest side of a right triangle). Therefore, we can conclude that ΔDEF is right and isosceles.

Hope this helps :)

Answer:

It is C.

Step-by-step explanation:

Hope this helped have an amazing day!

A computer store buys a computer system at a cost of ​357.60$. The selling price was first at 596$ ​, but then the store advertised a 40% markdown on the system. Answer parts a and b.

Answers

Answer:

i not know what you need me to help you

Step-by-step explanation:

PLZ HELP ME WITH THIS!?!? I WILL MARK BRAINLIEST!!!

Answers

Answer: can it be a bit clearer pls?

Step-by-step explanation:

Nadine's curtain company is making curtains for a local hotel. She wants each curtain to be 48 inches long. At the fabric store, fabric is sold by the foot. If Nadine's curtain company wants to make 52 curtains, how many feet of fabric will she need? 1 inch = 1 12 foot

Answers

Bsnsnssssa n jnsjssa sss
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