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

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

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

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:

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

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

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

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:

(:

HELP I NEED HELP ASAP

Answers

Answer:

what do you need help with what -??

Step-by-step explanation:

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

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..

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.

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:

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!

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


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

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°

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

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 :) !!

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

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

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

-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

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

Answers

Answer:

172 is the 34th term

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.

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! :)

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

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

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

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

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