An arithmetic sequence has a 2nd term equal to 3 and 10th term equal to -13.
Find the term of the sequence that has value -93?​

Answers

Answer 1

Answer:

n = 50

Step-by-step explanation:

Let a be the first term and d be the common difference.

An arithmetic sequence has a 2nd term equal to 3 and 10th term equal to -13.

[tex]a_n=a+(n-1)d[/tex]

According to the given condition,

[tex]a_2=3\\\\a_{10}=-13[/tex]

or

[tex]a+(2-1)d=3\\\\a+d=3\ ...(1)\\\\a+(10-1)d=-13\\\\a+9d=-13\ ...(2)[/tex]

Subtract equation (1) from (2).

a+9d-(a+d) = -13-3

8d = -16

d = -2

Put the value of d in equation (1).

a+(-2) = 3

a = 3+2

a = 5

Now,

[tex]a+(n-1)d = -93\\\\5+(n-1)(-2)=-93\\\\5-2n+2=-93\\\\7+93=2n\\\\2n=100\\\\n=50[/tex]

So, 50th term has the value of -93.


Related Questions

the alpha recruitment agency is advertising a high-profile employer-paid job as vice president of it operations. the fee is 25% of the first month’s pay. if the job pays x dollars annually, express the agency’s fee algebraically. answer pls​

Answers

Answer:

0.25x

Step-by-step explanation:

got it right on cengage

Jahahdbdb pls help I’m failing geometry and rlly need to pass this semester. I’m really bad at smth.

Answers

Answer:

I dont know this but try Alpha Wolfram, its for all math and its sooo helpful (for future reference)

Step-by-step explanation:

(:

What is the equation of the line that passes through the point (3, +2) and has a
slope of
2/3

Answers

Answer:

QUIT CHEATING  JK THE ANSWER IS  y = 2/3x + 3

Step-by-step explanation:

= 2/3(-3) + b       Solve for b

1= -6/3 + b

1 = -2 + b  

+2   +2

b = 3  

The equation will be   y = 2/3x + 3

I NEED HELP ITS KINDA EASY BUT NOT FOR ME

Answers

Answer:

28m

Step-by-step explanation:

Formula of area

AREA = LENGTH (multiply) BREATH

Answer:

The area of a triangle can be calculated with the formula: 1/2(bh), where b is the base length, and h is the height.

In this case, 4 is the base, and 7 is the height.

So we have: Area = 1/2(4)(7)

Simplifying: Area = 2(7), Area = 14.

The area of the triangle is 14 meters squared.

Let me know if this helps!

HELP I NEED HELP ASAP

Answers

Answer:

what do you need help with what -??

Step-by-step explanation:

Mr. phill stopped to fill his car with gas on the way to New York. It took 1 ¼ minutes to fill a 15 liters of gas in his tank. At this rate, how long will it take to fill his 50 liter gas tank?

Answers

Answer:

4 1/6 min or 4 min 10 sec

Step-by-step explanation:

Filling rate is:

15 ÷ 1 1/4 = 15 ÷ 5/4 = 15 × 4/5 = 12 l/min

Total volume is 50 l, time required to fill is:

50/12 = 4 2/12 = 4 1/6 min or 4 min 10 sec

In the following diagram BCD, AC = BC and mZACD=136 , which of the following is m (1) 22
(3) 44
D
(2) 68
(4) 74


Answers

Answer:

2) 68°

Step-by-step explanation:

The required answer is 68°

y=x+4 in a verbal situation

Answers

Answer:

i hope thos help u

Step-by-step explanation:

i hope this graph help u

Answer: The number of doughnuts that Teresa, y, is the four more than x, the number of doughnuts Thomas has.

Step-by-step explanation: So if Thomas had 10 doughnuts, Teresa would have 14. If Teresa had 36 doughnuts, Thomas would have 32.

-4 ≥ k - 2
Solve the inequality

Answers

Answer:

-2 ≥ k

Step-by-step explanation:

First you have to use inverse operation and add 2 on both sides. You should get -2 ≥ k as your answer.

Answer:

k ≤ -2

Step-by-step explanation:

move -4

you will get -2

move k

k ≤ -2

Find the x- and y-intercepts of the graph of x– 10y = 31. State your answers as
whole numbers or as improper fractions in simplest form.

Answers

Answer:

x -intercept (31,0)

y-intercept (0,-31/10)

Step-by-step explanation:

x-10y=31

x-10(0)=31

x=31

x-10y=31

0-10y=31

-10y=31

y=-31/10

Alice spins a spinner and rolls a number cube labeled 1-6. the spinner and number cube are shown.
what is the probability that Alice's spinner will land on green and she will roll a 6?

Answers

Answer:

Step-by-step explanation:

first count up the numbers on the spinner and the die cut out the number till get the number but i will guess 2

what is the 34th term in the sequence 7,12,17​

Answers

Answer:

172 is the 34th term

For the following expression, combine like terms and write an equivalent expression with fewer terms.

3x+5x−1

Answers

Answer:

8x - 1

Step-by-step explanation:

3x +5x - 1

8x - 1

This is correct

Answer:

8x-1

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

3x+5x−1 =

(3x+5x)-1 =

8x-1

Harry buys a TV priced at £1200 plus 20% VAT.
He pays £300 deposit and the balance in ten equal monthly payments .
Calculate each monthly payment.

Answers

Answer:

114

Step-by-step explanation:

20% of 1200= 240

so total price is 1200+220=1440

he pays 300 beposit

1440-300=1140

now 1150 must be paid in 10 installments equally

11400÷10=114 is the answer

The perimeter of a rectangle is 54 cm. The width is 1 cm shorter than the length. What is the length and width of the rectangle

Answers

Answer:

13 is the width and 14 is the length

Step-by-step explanation:

I divided 54 and got 13.5 then I started adding random numbers around 13 like 12+12+13+13 that didn't work it came out to 50 so I went up and did 13+13+14+14 and got my answer

Line p passes through point (0,8) and is perpendicular to the graph of y=1/4x+2 line q parallel to line p and passes through point (-3,6) which is the equation of line q in slope intercept form

A. Y=1/4x+6
B. Y=-1/4x+8
C. Y= 4x-8
D. -4x-6

Answers

The answer is A bro trust ,e

Write the equation of the parabola graphed below given the y-intercept is (0, 1)

Brainliest gets 45 points so please help ASAP

Answers

Answer:

y = -3/8(x - 4)² + 7 or y = -3/8x² + 6x + 1

Step-by-step explanation:

We can see on the graph that the vertex is (4, 7) and the leading coefficient is negative as parabola opens down.

The vertex form is:

y = a(x - h)² + k, substitute coordinates to get,y = a(x - 4)² + 7

Considering the y-intercept is (0, 1), substitute values to find the value of a:

1 = a(0 - 4)² + 7a(4²) = 1 - 716a = -6a = -6/16a = -8/3

The function is:

y = -3/8(x - 4)² + 7

In standard form:

y = -3/8(x² - 16x + 16) + 7 = -3/8x² + 6x - 6 + 7 = -3/8x² + 6x + 1

Write the slope intercept equation for line AB

Answers

Answer:

Y = 2

Step-by-step explanation:

The answer choices are in slope intercept form which is Y=mx+b. Since the slope is 0, there is no need for "mx" in the equation, so y= 2 where b is 2

Daqui a 5 anos karina terá 37 anos. usando a letra X, escreva uma equação que permita calcular a idade que karina tem hoje. Me ajuda pfvrr​

Answers

Answer:

x + 5 = 37

Step-by-step explanation:

Hoje tem x anos.

Daqui a 5 anos será 5 anos mais velha. A sua idade será x + 5 anos.

Daqui a 5 anos, a sua idade será 37 anos.

x + 5 = 37

A cuboid is 12 cm broad and 10 cm high. If its volume is 1800 cm³, find its length.​

Answers

Answer:

it's length is 15cm

Step-by-step explanation:

let a represent the length

a × 10 ×12 = 1800

a×120= 1800

a = 1800÷12

a=15cm

1800=L×h×b

1800=L×10×12

1800=120L

L=1800/120

L=15cm ans..

HELLP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Using only odd numbers for numerators, write two different subtraction problems that have differences of 1/2. remember, you can equivalent fraction for 1/2

Answers

7/4 - 5/4 = 1/2 and 21/24 - 9/24 = 1/2

Step-by-step explanation:

7/4 - 5/4

= 2/4

= 1/2

21/24 - 9/24

= 12/24

= 1/2

Your Welcome! :)

15. Two angles are supplementary. One
angle is 8 times larger than the other.
Find the measure of the two angles.

Answers

Answer:

82 and 98 degrees.

Step-by-step

Supplementary angles are equal to 180 degrees. Let's assume both are 90 degrees for both angles. You would then do the following:

90-8= (for angle 1)

90+8= (for angle 2)

Getting 82 and 98 degrees.

Use the figure to find the measure of the numbered angles.

Answers

Answer:

I am not sure how your figure is, but I am using one of mine figure.

<1 is corresponding with <5.

<2 is corresponding with <6.

<3 is corresponding with <7.

<4 is a corresponding angle with the given angle.

<5 and <7 are vertical to the given angle.

<6 is a supplementary to the given angle.

I am not sure if answer is right, but hopw this helps, thank you :) !!

what is the radius of a hemisphere that has a volume of 36?

Answers

i hope this helps you!

6. Elizabeth drew a rectangle on a coordinate grid. How could she transform the rectangle to produce an image that is not congruent to the original rectangleA. Reflect it over the y-axis
B. Translate it 3 units right and 6 units up
c. Dilate it by a scale factor of 5
D. All of the above​

Answers

Answer:

C I think

Step-by-step explanation:

Could yall help me PLEASE
estimate the circumference of a quarter whose diameter measures 1.205 inches.
7.6 in.
1.9 in.
2.4 in.
3,6 in.

Answers

Answer: 3.6

Step-by-step explanation:

(Not the best at math but I am an above level student)

C= pi x diameter

C= pi x 1.205

C= 3.7

PLEASE HELP- A triangle has vertices A(0, 0), B (9, 4), and C(–2, 10). What are the coordinates of the triangle after a dilation with a scale factor of 1/2 ?

Answers

Basically multiply the x and y coordinates of each point by 1/2

For example, I'll do C which is ( -2 , 10 )

-2 * 1/2 = -1 and 1/2 * 10 = 5

The new coordinate is ( -1 , 5 )

Now you can try the other points

:D

bus driver drove from Philadelphia to Washington D.C. He drove the first 100 km in 2 hours, the next 55 km in 1 hour, and the final 75 km in 2 hours. What is the average speed of the bus throughout the trip?

Answers

Answer: I think it’s 46

Step-by-step explanation: Because you add up the miles he drove them divide them by how long he drove

Ex 55+75+100=230 then you divide that by 5 hours = 46 per hour

what is 500000 x 500000

Answers

Answer:

500000 x 500000 =250000000000

Step-by-step explanation:

Hope it help and have a great day

Answer: It's 250000000000

Hope this helps have a awesome night/day❤️✨

Step-by-step explanation:


1. Make your own example in describing the two parts of a measurement:
Nonstandard units of
of measurement and Standard units of
measurement.​​

Answers

Step-by-step explanation:

standard unit of measurement : it is typically used within each measurement system such as inches , feet , kilograms etc.

non standard unit of measurement : it is a type of measurement used by our own body parts to measure

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