In a specific arithmetic sequence, if -4 is the first term and 10 is the third term, which term is 157?

Answers

Answer 1

Step-by-step explanation:

everything can be found in the picture

Answer 2

The nth term of an arithmetic sequence is expressed as Tn = a +(n - 1)d. The 157th term of the sequence is 2180

Arithmetic sequence

The nth term of an arithmetic sequence is expressed as:

Tn = a +(n - 1)d

where

a is the first termd is the common differencen is the number of terms

If -4 is the first term and 10 is the third term, then;

a = -4

a + d = 10

d = 10 - (-4)

d = 14

Determine the 157th term

T157 = -4 + (157 - 1)(14)

T157 = -4 + (156*14)

T157 = 2180

Hence the 157th term of the sequence is 2180

Learn more on sequence here: https://brainly.com/question/6561461

#SPJ6


Related Questions

Please help solve the question in the image

Answers

Answer:

✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

Step-by-step explanation:

Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10

✔️Mean Annual rainfall for Albany (in.):

= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10

= 20.967

✔️Mean Annual rainfall for Zachary (in.):

= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10

= 25.153

✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.

✅On average, it rains more in Zachary in a year.

I hope you guys can help me with this question :)

Answers

Answer : 11 feet
Explanation: This means the radius of the circular pattern being formed is 11 feet. So the sprinkler can spread the water 11 feet away from it

the sum of five consecutive numbers is 700, what is the first number?

Answers

Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be x.

Then since they are consecutive numbers, the second number will be (x + 1), the third (x + 2), the fourth (x + 3) and the fifth being (x + 4).

We are given that their sum is 700. Therefore:

[tex]x+(x+1)+(x+2)+(x+3)+(x+4)=700[/tex]

Solve for x. Combine like terms:

[tex]5x+10=700[/tex]

Subtract 10 from both sides:

[tex]5x=690[/tex]

Divide both sides by five. Therefore:

[tex]x=138[/tex]

The first number is 138.

Answer:

138

Step-by-step explanation:

(n) + (n+1) + (n+2) + (n+3) + (n+4) = 700

5n + 10 = 700

5n = 690

n = 138

8u^8+(-21u^8)
Helpppp quick

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{8u^8 + (-21u^8)}\\\mathsf{= 8u^2 - 21u^8}\\\large\textsf{COMBINE the LIKE TERMS}\\\mathsf{=(8u^8 - 21u^8)}\\\mathsf{= 8 - 21\rightarrow\boxed{\bf -13}}\\\mathsf{= 8u^2 - 21u^8 \rightarrow \bf -13u^8}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf -13u}\bf ^2}}\huge\checkmark\\\\\\\\\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]

Hey there! Can someone tell me the answer please? Will give brainliest.

Answers

Answer:

24 edges, 24 vertices, 8 faces - For that weird Cylender thing.

Step-by-step explanation:

There are six faces on sides (and two on both tops, these don´t have vertices or edges of their own), 4 edges on each one, 4 vertices on each one.

Answer:

There are 6 faces

One up one down one front one backs one right one left

12 edges and 8 ventricles

6. What is the 10th term of the geometric sequence -20, -10,-5, ... ?​

Answers

Answer:

-0.0390625

Step-by-step explanation:

each is cut in half

so we do this

20, 10, 5, 2.5, 1.25, .625, .3125, .15625, 0.078125, 0.0390625

Q. Find the missing side

Answers

Answer:

What missing side? You're missing a picture.

(-3) x (+5)

What’s the answer to that? Someone help me please

Answers

Answer:

[tex] - 15[/tex]

Step-by-step explanation:

We know that,

[tex]( - ) \times ( + ) = (- )[/tex]

So,

[tex] (- 3) \times ( + 5) = - 15[/tex]

hope this helps you.

Have a nice day!

Answer:

-15

Step-by-step explanation:

(-3)*(+5) = -15

which shape has 74 sides

Answers

Answer:

Heptacontakaitetragon

I'm not sure though 'cause it ain't a shape, but that's the term for a shape that has 74 sides.

i think it is isogonal

Find the value of x. please help

Answers

Answer:

x= 15

Step-by-step explanation:

Since this is an isosceles triangle, the other angle is also 5x-6

The sum of the angles of a triangle is 180

42+ 5x-6 + 5x-6 = 180

Combine like terms

10x+30 =180

Subtract 30 from each side

10x+30-30 = 180-30

10x = 150

Divide by 10

10x/10 = 150/10

x= 15

* is = to 15 being that the triangle is = to 180

Need answer asapppp I have 10 min only!!!

Answers

You forgot to put the picture of the queso

Select the correct answer.
Which equation written in two variables is equivalent to this function?
f(x) = -2(x – 4)
A.y = -2(f(x) – 4)
B.y = -2x + 4
C.y = -2(f(x) + 4)
D.y = -2(x – 4)

Answers

Answer:

D

Step-by-step explanation:

In a function with x as the independent variable and y as the dependent variable, the f(x) notation replaces y in the equation.

find the equation of the line that is parallel to y= -7x+2 and contains the point (-5,32)​

Answers

Answer:

y=-7x-3

Step-by-step explanation:

y=-7x+b

32=-7(-5)+b

32=35+b

-3=b

y=-7x-3

Simplify. x 0 yz -3


Simplify. x 0 yz -3

Answers

Answer:

y / z^3

Step-by-step explanation:

x^0 is 1 because anything to the zero power is 1

1 *y z^-3

We know a^-b = 1/a^b

y / z^3

Answer:

[tex] \small \sf \frac{y}{z {}^{ 3}} [/tex]

Step-by-step explanation:

x⁰yz-³

Any non expression raised to power of 0 equals 1.

[tex] \small \sf \: 1yz {}^{ - 3} [/tex]

Express with positive exponents using [tex] \small \sf \: a {}^{ - n} = \frac{1}{a^n}[/tex]

1y +[tex] \small \sf \frac{1}{ z {}^{ 3}} [/tex]

[tex] \small \sf \frac{y}{z {}^{ 3} }[/tex]

Find the midpoint of the segment with endpoints:
(9,8) and (3,5).



pls pls pls pls help!!!! for geometry final

Answers

Answer:

Step-by-step explanation:

here x1=9  y1=8  x2=3  y2=5

midpoint=(x2+x1/2   ,   y2+y1/2)

=(3+9/2  ,    5+8/2)

=(12/2    ,     13/2)

=(6   ,    13/2)            

wuch equation represents O AB OB. re​

Answers

Answer:

The answer that is C

Step-by-step explanation:

The equation would be y=1/2x + 8 because the line touches the y-intercept at +8. The others would be incorrect as the line does not increase by a slop of 8/1 and/or is the y-intercept at -8.

What is the noun of press?​

Answers

the noun press itself is already a noun. though the word can also be expressed as a verb, (for example: he pressed his face against the glass) it can also be a noun (for example: the incident was not reported to the press).

hope this helps. :)

have a great day! stay safe, happy, and healthy!

please help 40 points

Answers

Answer:

-2 5/9

Step-by-step explanation:

w + (-x) - 2/3

Let w = -5/9  and x = 4/3

-5/9  - 4/3 - 2/3

Get a common denominator

-5/9  -4/3*3/3  -2/3*3/3

-5/9  -12/9  -6/9

Add

-23/9

Change to a mixed number

-2 5/9

Pls help I will give crown

Answers

Answer:

35 yards

Step-by-step explanation:

The formula for an area of a trapezium or trapezoid is h(a+b)/2. H is the height, and a and b are the the two opposite sides. With substitution, we get 5(6+8)2 = 70/2 = 35

Answer:

35 yd²

Step-by-step explanation:

First, you need to find the remaining side:

You need to find the bottom side of the triangle: 8-6=2 yd

Let's calculate the area of the triangle:

[tex]\frac{5*2}{2} =5[/tex] yd²

Let's calculate the area of the rectangle:

6*5 = 30 yd²

Total area: 30+5 = 35 yd²

kevin ran 6/7 miles and his brother james ran 10 miles. How many miles did the two of them ran.​

Answers

Answer:

16.7 miles

Step-by-step explanation:

6.7+10=16.7

The two of them ran 16.7 miles.

What is the volume of a cone that has a height of 10 feet and a base with a surface area(B) of 9 square feet?

Answers

Answer:

30 cubic feet

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Height of cone (h) = 10 feet

Base surface area = π[tex]r^{2}[/tex] =  9 sq. feet

So we can calculate the volume of cone by using following formula,

volume of cone = (1/3)π[tex]r^{2}[/tex]h

By putting the value in the formula, we get

Volume of cone = (1/3) 9 × 10

= 3 × 10

= 30 cubic feet

A cheetah's speed was timed over a set distance. The cheetah was clocked running 60 miles per hour. Which equation is the relationship between the distance, y, and time, x, the cheetah runs?

Answers

Answer:

D. y=70x

Step-by-step explanation:

The cheetah was clocked running 70 miles per hour.

i.e. in 1 hour cheetah covered 70 miles

in 2 hours cheetah covered 140 miles

in 3 hours cheetah covered 210 miles

in general, in n hour cheetah covered 70n miles

If y denote the distance covered

and x denotes the time cheetah runs

Then, y=70x

Hence, the equation which shows the relationship between the distance, y, and time, x, the cheetah runs is:

D  y=70x

please help asap I will give you 15 points. no links or ill report you​

Answers

Answer:

Step-by-step explanation:

Range is y thing, where as domain is an x thing. The way you state a range (or a domain, for that matter) is to start from the low point on the graph and go up to the high point. Our graph doesn't have a starting point; therefore, the "low" end of the graph comes up from -∞. The high point on the graph maxes out at 3. Therefore, the proper way to state the range (depending upon whether you use set-builder or not) is

R = (-∞, 3] or another way to state this is

R = {y | y ≤ 3} which reads "y such that y is less than or equal to 3".

is y=2x^3 an even or odd function or neither

Answers

Answer:

Odd

Step-by-step explanation:

PLEASE HELP ME WHAT IS THE ANWSER

Answers

Answer:

c is the same angle as a

b and d are the same as the other

and together the are what's left from 360° after a and c got their share

so

360 -98 -98 = b + d

makes

164 = b + d

since they are of equal value, just decide 164 by 2 and you got b and d at once

pls brainliest

Answer:

Vertical Angles: a and c , d and b

m<b= 82⁰ , m<c=98⁰ , m<d=82⁰

Adjacent Angles: a and b , b and c , c and d ,d and a

correct me if im wrong

Martha’s biweekly gross pay is $1,000. Her deductions make up 23% of her gross pay. How much is deducted from her pay for a full calendar year?
$4,600
$5,980
$7,020
$9,420
ALL GIVE BRAINLY

Answers

Answer:

$5,980

Step-by-step explanation:

23% of $1,000 = $230

so, Martha's deductions for a full calendar year =

52/2 × $230 = $5,980

Can you explain how you answered it thank you!
x=
y=

Answers

Answer:

x = 1.5 or 1 1/2

y = 8

Step-by-step explanation:

Solving for x:

2x + 1/2 y = 7

6x - 1/2y = 5

Add both equations:

2x + 1/2 y + 6x - 1/2y = 7 + 5

8x = 12

x = 1 1/2

Solving for y:

2x + 1/2y = 7

We know x, so lets input

2(1.5) + 1/2y = 7

3 + .5y = 7

0.5y = 4

y = 4*2

y = 8

Check with the other equation

6x - .5y = 5

6(1.5) - 0.5y = 5

9 - 0.5y = 5

0.5y = 9 - 5

0.5y = 4

y = 4 * 2

y = 8

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Express the following division in the form of a + bi: (1+3i)(2+i)

Answers

Answer:

[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]

Step-by-step explanation:

We proceed to present the procedure by algebraic means:

1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given

2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties

3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties

4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties

5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties

A 50 foot ladder is set against the side of a house so that it reaches up 48 feet. If Jack
grabs the ladder at its base and pulls it 4 feet farther from the house, how far up the
side of the house will the ladder reach now? (The answer is not 44 ft.) Round to the
nearest tenth of a foot.

Answers

1.4 feet

let me know if you get it right hope i helped!

Answer:

14

Step-by-step explanation:

a2+(48)2=

 502\,\,50^{2}502

Use the Pythagorean Theorem.

a2+2304=a^{2}+2304=a2+2304=

 2500\,\,25002500

Simplify.

−2304-2304\phantom{=}−2304=

 −2304\,\,-2304−2304

Subtract 2304 from both sides.

a2=a^{2}=a2=

 196\,\,196196

a2=\sqrt{a^{2}}=a2

​=

 ±196\,\,\pm\sqrt{196}±196

Square root both sides.

a=a=a=

 14\,\,1414

Simplify. Ignore negative root, as length must be positive.

please answer its due tomorrow ill give brainiest no links or scam

Answers

Answer:

4:    1 2/3

5.  5/21     b. 1/4    c. 11/18   d.  3/20

6.  11/12     b. 10/12 < 11/12

7. 4/45

Step-by-step explanation:

4.     1/3 times 5

6.    just add

7. 1/5 minus 1/9

Answer:

hey this is my alt acount im doing this so i can give brainiest

Step-by-step explanation:

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