Find the 64th term of the arithmetic sequence 2, -3, -8,

Answers

Answer 1

Answer:

[tex]a_{64} = -313[/tex]

Step-by-step explanation:[tex]a_{64} = 2 -135[/tex]

This is the Arithmetic Sequence Formula->  [tex]a_{n} = a_{1} + (n+1) d[/tex]

1) The d represents your difference of the equation. You can find it by finding a pattern between the three numbers given, which is -5

2) Now that we've found our difference, we can plug it into this lovely sequence we have [tex]a_{64} = a_{1} + (64-1) -5[/tex] (by the way, your n represents your term that you plug into the equation)

3) [tex]a_{64} = 2 + (64-1) -5[/tex]  This also means that [tex]a_{1}[/tex] is our first term, which is 2

4) Simplify [tex]a_{64} = 2 + (63) -5[/tex] --> [tex]a_{64} = 2 +-315[/tex]

5) [tex]a_{64} = -313[/tex]

The formula is confusing at first, but it becomes easier once your learn the patterns!


Related Questions

please help
-1x + 5 = 1x -11

Answers

Answer:

x=8

:)

Step-by-step explanation:

The new price of the plane ticket

Answers

Answer:

159.25

Step-by-step explanation:

175 multiplied by 6% is 10.5

If you subtract 10.5 from 175 you will get 164.5

Answer:

100 - 6 = 94

175/100*94 = 164.50

new price = £164.50

Find the 91st term of the arithmetic sequence 5, -14, -33, ...

Answers

Answer:

-1704

Step-by-step explanation:

5, -14, -33

it goes down by 19 each time

nth term: -19n+25

91st term is 91 times -19=-1729+25=-1704

Sneakers at Mr lou's garage sale cost the same price. alexander paid $90.52 for four pairs. How many pairs of sneakers did justin buy if he paid $135.78? write a proportion and use cross products to solve for d, the number of sneakers that David bought.

Answers

Answer 6

Step-by-step explanation:

I found the answer on calculator

which of the following expressions have the greatest value

Answers

Answer:

the Answer is D

Step-by-step explanation:

the answer is 2^5 (D) mate

1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.
JB who weighs 50 kg sits 3 feet from the fulcrum. How far from the fulcrum must JP sit in order to
balance with JB if he weighs 35 kg?
2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is
reading.
A. write the variation equation
B. If he can read 21 pages in 14 minutes, how many pages can he read in 21 minutes?
3. The pressure of the gas is directly proportional to the temperature and inversely proportional to
its volume.
A. Write the variation equation.
B. What will happen to the pressure if the volume is reduced to half and the temperature is
doubled?
4. Given the equation y = k ma, where k is the constant of variation, which of the following
statements are TRUE or FALSE.
A. y and r varies directly.
B.y and q are directly proportional
C.y and pq2 varies jointly
D. p and r are inversely proportional
E. y and p varies directly.​

pasagot naman mga prii

Answers

Answer:

1) 43/10

3) p = kt/v

4) C

1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person.

[tex]\rm d\times w = constant[/tex]

JB who weighs 50 kg sits 3 feet from the fulcrum.

Distance of JP from the fulcrum in order to  balance with JB if he weighs 35 kg?

[tex]\rm JB \times 3 = JP \times 35 \\50\times 3 = JP \times 35 \\JP = 4.28\; feet[/tex]

So JP must sit at a distance of about 4.28 feet from the fulcrum

2. The number of pages (p) that Ethan reads varies directly as the number of hours (1) he is  reading.

A. write the variation equation

 let the number of pages read by Ethan be p

let the number of hours he is reading be  h

According to the given situation

[tex]\rm p \; \alpha\; h \\So \; equation\; is \; p = ch[/tex]

B . According to the given condition

[tex]\rm 21 = c \times 14\\c = 3/2 = 1.5[/tex]

hence the constant of proportionality c = 1.5  

So let us consider he reads p' pages in 21 minutes

[tex]\rm p' = 1.5 \times 21 = \bold{31.5\; pages}[/tex]

3. The pressure of the gas is directly proportional to the temperature and inversely proportional to  its volume.

A. Write the variation equation.

Let P = Pressure , V = Volume and T = Temperature

The equation is

[tex]\rm P \; \alpha \; \dfrac{T}{V}........(3.1)[/tex]

B. What will happen to the pressure if the volume is reduced to half and the temperature is doubled?

Since the temperature is doubled and volume is halved  so putting 2T and  and volume V/2 in equation (3.1) we get

[tex]\rm P \; \alpha \; \dfrac{4T}{V}[/tex]

So the values of new pressure become 4 times the value.

4. Given the equation y = k ma, where k is the constant of variation, which of the following

statements are TRUE or FALSE.

A. y and r varies directly.  

B.y and q are directly proportional

C.y and pq2 varies jointly

D. p and r are inversely proportional

E. y and p varies directly.​

It seems that Question 4  has an ambiguity since the equation y = k ma

does not signifies any of the option

For more information please refer to the link  given below

https://brainly.com/question/17948320

When the British system of units was first developed, what was the most
common object used as a basis for measuring length?

A. Animals
B. The king's castle
C. The human body
D. Automobiles

Answers

Is the letter b ok bro

Tara has a large box of dog treats that weighs 7.2 pounds. She uses the large box of dog treats to make smaller bags, each containing 0.6 pound of treats.

How many smaller bags of dog treats can Tara make?

Tara can make smaller bags.

Answers

Answer:

Tara can make 14 smaller bags.

Step-by-step explanation:

Write the ordered pair corresponding to the point B.

Answers

Answer:

The ordered pair for point A is (-2, 0). For point B, move to the right 4 units to get an x-coordinate of 4, then move down 3 units to get a y-coordinate of -3. The ordered pair for point B is (4, -3). For point C, move to the right 3 units to get an x-coordinate of 3, then move up 5 units to get a y-coordinate of 5.

Step-by-step explanation:

hope this helps

Answer:

(-2, -3)

Step-by-step explanation:

If the temperature is 77 F what is it in Celsius

Answers

Answer:

25 degrees celcius

Step-by-step explanation:

What is evil and can trick you

Answers

Answer:

Wizard or the devil

Step-by-step explanation:

Answer:

The devil

[tex]el \: diablo[/tex]

Please help me :(
I will give you brainly

Answers

Answer:

i want to say neither

Step-by-step explanation:

-7x + 3y = 2

We dont know what x or y is.

Answer:

pretty sure its neither so D.

Step-by-step explanation:

Find the domain of the graphed function

Answers

Answer:

D

Step-by-step explanation:

sorry if its wrong. havent learned this in a while.

Answer:

Ok, so you see here, the demain is described as, to which to point does the x-axis change throught the graph, meaning here, you graph reaches from x = -4, to x = 2, that means that the domain is:

D) -4 ≤ x ≤ 2

Hope this is correct and helps!

Describe the error in determining whether the lines are parallel, perpendicular, or neither.

Answers

Step-by-step explanation:

The slopes of perpindicular lines must be negative reciprocals of each other -- while -4 and 4 are negative to each other, the negative recipricocal for -4 is 1/4 and -1/4 for 4.

The slopes of parallel lines must be the same, so these are not parallel.

So what the answer for “Kelly has $5.38 in her account before receiving her $832.19 paycheck. She writes checks for rent and car insurance in the amounts of $359.82 and $72.38. She also withdraws $30. What is her current balance?” ? Please I need this answer right away please

Answers

Answer: $375.37

Step-by-step explanation:

From the question, we are told that Kelly has $5.38 in her account before receiving her $832.19 paycheck. We are further told that she writes checks for rent and car insurance in the amounts of $359.82 and $72.38 and that she also withdraws $30.

Her current balance will be:

= $5.38 + $832.19 - $359.82 - $72.38 - $30

= $375.37

Her current balance is $375.37

The price of a wakeboard that regularly sells for $600 is reduced to $528 by what percentage is the price reduced?

Answers

Answer:

12%

Step-by-step explanation:

600-528=72. (subtract)

72/600= 3/25. (simplify)

3/25 = 12%. ( convert to percent)

(answer accuracy not garunteed)

Answer:

600-528 = 72

72/600 = 0.12

0.12 X 100 = 12 %

It is reduced by 12 %

PLEASE HELPP!! I’ll mark brainliest!!!!

Answers

The answer is C, have a nice day!

WILL MARK AS BRAINLIEST PLEASE HELP FAST
What is the value of 4(3d-e)-2f​

Answers

Answer:

12d-4e-2f

Step-by-step explanation:

pls mark as brainliest!!

Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)

Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.

Answers

The step that is not used when constructing an inscribed equilateral triangle using technology is " create another circle with the same radius as the original".

What is inscribed triangle ?

"The definition of circumscribed means that an object is drawn around another, making it bounded or limited within a certain boundary. And so, a circumscribed circle of a triangle is a circle that limits a triangle's space. In other words, the circle contains a triangle inside it. The vertices of the triangle are located along the boundary of the circle.

Geometric scenarios like this wherein a shape are drawn inside another or containing another; the name is given depending on which object is taken as a reference. Circumscribed circle of a triangle, the circle is outside the triangle in a simpler sense. In other words, the triangle is inside the circle."

Since,

Creating another circle with the same radius as the original is the not a step in construction of inscribed equilateral triangle.

Hence D is the correct option.

To know more about inscribed triangle here

https://brainly.com/question/10975505

#SPJ3

the quotient of -7 and y

Answers

Answer:

-7/y

Step-by-step explanation:

The quotient of -7 and y is:

-7/y

Answer:

[tex] \huge \boxed{ \frac{ - 7}{y} }[/tex]

-7/y is the right answer.

7 ¾ - 1 2/7 - 3/2 = ?????????????????????

Answers

Answer:

31/8 = 3 7/8 = 3.875

Step-by-step explanation:

7 3/4 /2 = 31/8 = 3 7/8 = 3.875

Multiply to convert pounds to ounces. Write your answer as a fraction.

Answers

Answer:

There is nothing  to multiply.

Include the problem please

Solve the following:
a) 2(5x – 3) = 24
b) 5(2x + 1) = 50​

Answers

Answer:

x = 3 and x = [tex]\frac{9}{2}[/tex]

Step-by-step explanation:

(a)

2(5x - 3) = 24 ( divide both sides by 2 )

5x - 3 = 12 ( add 3 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

(b)

5(2x + 1) = 50 ( divide both sides by 5 )

2x + 1 = 10 ( subtract 1 from both sides )

2x = 9 ( divide both sides by 2 )

x = [tex]\frac{9}{2}[/tex]

pls help i will give u brainliest.

Answers

Well did you find the answer

Anthony scored 28 points in a recent basketball game. He made a total of 12 baskets. How many 2 and 3 point shots did he make? (Consider only the 2 and 3 point shots: no free throws)

Answers

Answer:

8 2-point shots and 4 3-point shots

Step-by-step explanation:

Anthony scored 28 points with 12 baskets. Saying that, (with x-y representing 2 point shots-3 point shots) any combination with a supermajority (at least 75% of) of either shot is out. This leaves just 5 possible combinations. 8-4, 7-5, 6-6, 5-7, and 4-8. Multiply the first number by 2 and the second by 3.

(4 * 2) + (8 * 3) = 8 + 24 = 32 points, so no.

(5 * 2) + (7 * 3) = 10 + 21 = 31 points, so no.

(6 * 2) + (6 * 3) = 12 + 18 = 30 points, so no.

(7 * 2) + (5 * 3) = 14 + 15 = 29 points, so no as well.

(8 * 2) + (4 * 3) = 16 + 12 = 28 points, so this is the combination we're looking for.

❗️DO NOT GIVE THE ANSWERS❗️

Please explain the process on how to do it.

Answers

Answer:

Check below for the process

Step-by-step explanation:

So ill take a) for example. it says that y is equal to 4 times x. y referring to the column y. So in the first row when it says x is one you would have to do 4 times 1 to find what would be in y

4) Which expression is equivalent to 9(9m + 3t) ? 6.EE.A.3"
5 points
A) 18m + 3t
B) 81m + 3t
C) 18m + 12
D) 81m + 271

Answers

The answer is D; could you make me the brainiest? Because the answer is 81m+27t

A pair of jeans is on sale for 25% off the original price. The sale price is $78. What is the original price?

Answers

Answer:

58.5 is your answer

Step-by-step explanation:

hey beautiful. I will try to give brainliest to whoever can answer this CORRECTLY thanks in advanced.​

Answers

Answer:

AC=13, DE=24

Step-by-step explanation:

we find it using Pythagoras theorem, a²+b²=c²

note that 'c²' always represent the hypotenuse

for the first triangle,

5²+12²=25+144=169, this is the square form

√169=13

AC=13

for the second,

10²+b²=26², we will rearrange the formula so that we could find 'b'

b²=26²-10²

b²=676-100

b²=576

b=√576

b=24

DE=24

i hope this helps

Stay safe from the virus

can someone please do this for me and tell me how so I can do the other one pleaseeee I don't know what to do

Answers

Answer:

P(green) =1/4

P(orange)=1/2

Step-by-step explanation:

I'm assuming this is probability but it\s been a while, so i'm not sure

number one is a square being divided into half and then one half is being divided into quarters. (as shown by the dotted lines and right angle)

so the probablity of landing in green is 1/4, because it is one fourth of the square.

the probability of the orange is 1/2 because it is 1/2 of the square

The same logic would apply to the "circle" i can see in the next problem. 120 degrees is 1/3 of 360, 90 is 1/4, and so on.

Hope that helps.

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