Mathematics High School

The sum of the first 21 terms of the progression, - 18, - 15,-12.....is?​

Answers

Answer 1
You can just use the tn formula to solve this tn= t1 + (n-1)d
Answer 2

The sum of 21 terms is -1080.

What is Arithmetic Progression?A series in which the differences between each pair of following terms are the same is known as an arithmetic progression.An arithmetic progression is a sequence in which every phrase—aside from the initial term—is created by multiplying the previous term by a predetermined amount.

given:

- 18, - 15,-12.....

First term, a= -18

common difference, d= -15 + 18= -3

So, [tex]S_{21[/tex] = 21/2 [ 2(-18)+ (21- 1) (-3)]

[tex]S_{21[/tex] = 21/2 [ -36 + (20) (-3)]

[tex]S_{21[/tex] = 21/2 [ -36 - 60]

[tex]S_{21[/tex] = 21/2 (-96)

[tex]S_{21[/tex] = 21 x (-48)

[tex]S_{21[/tex] = -1008

Hence, the sum of 21 terms is -1080.

Learn more about Arithmetic progression here:

https://brainly.com/question/16947807

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Related Questions

not sure which one is it

plz help

Answers

the last one is correct answer

Help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

pythagorean theorem

12^2 + 5^2 = PQ^2

144 + 25 = 169

[tex]\sqrt{169}[/tex] = 13

answer = 13 units

can someone please help me with this

which of these quadratic equations has exactly two solutions or zeros
​

Answers

This question doesn’t make sense, because they all do..

Kenny bought 3 pounds of Beef on sale for $1.25 per pound at HEB. If Kenny gave the cashier $10.00, how much change would he receive from this purchase?

Answers

Answer:

Step-by-step explanation:

1)Put the sign < (less than ) or the > (greater than ) sign between the integers below:(5 marks)

-5 ______ +4 b) 0 _____-3

c) -13 _____ -12 d) -177 _____ +77 e) -5 ______5

2) Write in order from least to greatest : ( 2marks)
-55, -983, -118, -34, 0

3) Write in order from greatest to least.( 2 marks)
1, -11 ,10, -9, 17, 0

4) Draw number lines to work out the answers for : (8 marks)
-7 + 10 b) -8 -1 c) -5 + 5 d) -2+7 -6+5 - 10

5) Work out without using number lines: (8 marks)

-133 + 132

-250 + 360

-44 - 33 - 15

-30 + 12 -12 + 20 - 16 + 11 - 45

Answers

Answer:

nb 1) -5 <+4 0>-3 -13 <-12 -177<77 -5 <5

Nb 2) -983 <-118< -55<-34< 0

Nb 3) 17> 10> 1>0> -9>-11

Nb 5) 132-133 =-1 360 -250 =110 15 -33-44=-62 45 -11+16 -20 +12-12+30 =100

Pete adds 78 to the data set below
20,32,32,45,50

Which statement below is true?

A. The mode will increase
B. The mean will decrease
C. The median will remain the same
D. The interquartile range will decrease

Answers

The correct answer is letter A

Divide. (– 6t + t^3 – 4) ÷ (t + 2)
a. t^2-8t+12
b. -t^2+3t+2
c.t^2-2t-2
d. -6t^2+13t-30

Answers

Answer:

 t2 - 2t - 2 or C. - Hope it helps!

What is the mean of the data set? 17, 24, 26, 13 *
Mark only one oval.
4
13
20

Answers

Answer:20

Step-by-step explanation: 17+24+26+13=80

Divide by how many numbers there are. Answer: 20

Answer:

20

Step-by-step explanation:

Mean = Sum divided by the number of terms

(17+24+26+13)/4

(80)/4 = 20

Mean = 20

Answer quick please!

Answers

Answer:

25%

Step-by-step explanation:

Mayne is 28 years old. She is 12 years older than 2/3 of Laurels age. Which equation can be used to find Laurels age, a?

Answers

Answer:

B. ⅔a + 12 = 28

Step-by-step explanation:

Here are the options to this question

) ⅔ + 12a = 28

b) ⅔a + 12 = 28

c) ⅔a + 12a = 28

d) -⅔a + 12 = 28​

Mayne's age can be represented with this equation =

28 = 12 + 2/3a

where a = laurels age

yo i need help on my exit ticket please i don’t need no links i just need the answer pleaseeeee

Answers

Answer:

B

Step-by-step explanation:

V=[tex]\pi r^{2} h[/tex]

V=3.14*[tex](16/2)^{2}[/tex]*3

V=3.14*[tex]8^{2}[/tex]*3

V=3.14* 64*3

V=602.88 which rounds up to 602.9

Meaning of the word break-even​

Answers

Answer:

Breakeven is often used in finance, it means the point of reaching a balance.

Step-by-step explanation:

Please help. ❗❗❗❗❗
osmqbshxissjwvgxkoqjwvwnmddk​

Answers

Answer:

C

Step-by-step explanation:

This makes the most sense.

Find the volume of this sphere

Answers

I’m going say it’s 33.51.

i’m not 100% sure because i was always taught to use V = 4/3 π r³ to find the volume of a sphere and i just assume that’s what everyone else does.

But, when i used this formula, i was getting 8.38 but when i got that answer i pressed the equals sign again, twice (don’t ask why, i don’t know haha), and got 33.51.


This is probably no help at all but i hope it’s the right answer

Point P' is the image of the point P after a counterclockwise rotation of 90 degress about the origin. If the coordinates of point P' are (-7,-3) what are the coordinates of point P?
A. (-3,-7)
B. (-3,7)
C. (3,-7)
D. (3,7) ​

Answers

Ok I will give brainliest the answer I can give her a

Pythagorean
Diego props a 10ft ladder against the wall how high up will the ladder reach if the foot of ladder is 5 feet away from the wall ?

Answers

Answer:

5√3 ft

Step-by-step explanation:

If the ladder is 10ft tall, then that represents the hypotenuse. If the foot of our ladder is 5ft away from the wall, that is a side length that we know. Using the Pythagorean Theorem, a²+b²=c², where a and b are side lengths of a right triangle, and c is the hypotenuse, we can solve for the missing side length:

a²+b²=c²

(5)²+b²=(10)²

25+b²=100

b²=75

b=√75

b=5√3

So the ladder will reach a height of 5√3 ft.

Which of the following is a proportion?

Answers

Answer:

the second one

Step-by-step explanation:

What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x - 1)?
o
AO
12

Answers

I think it is 0, but im sorry if it is wrong

Answer:

x=0

Step-by-step explanation:

First distribut the 6 and 2

6x+6-5x=8+2x-2

Then put the x to one side and the coefficients to the other side

6x-2x-5x=8-2-6

Simplify

-x=0

x=0

By the way, can you follow me on Brainly?

Thanks!

Select the correct answer.
A news website is interested in knowing which other sites its users visit for their technology news, so it sends an email survey to 10,000 of its
registered users selected at random. For what type of bias are the survey results at risk?
OA. The survey results are not at risk for any blas.
OB. The survey results are most at risk for undercoverage.
OC. The survey results are most at risk for nonresponse blas.
OD
The survey results are at risk for nonresponse blas and undercoverage.

Answers

Answer:

its c. The survey results are most at risk for nonresponse bias. please mark me the brainliest :)

Step-by-step explanation:

Answer:

Give other guy brainliest!!

What is the median of the data set?
17, 18, 20, 22, 24, 25, 30
A. 17
B. 30
C. 7
D. 22
Please help I will give brainiest!!!

Answers

Answer:

D. 22

22 is in the middle

There are three numbers on both sides of 22 so it makes it even and 22 ends up being in the middle.

Hope this helps

There are 5 trucks for every 8 cars in a parking lot. If there are a total of 112 cars in the parking lot. How many trucks are there?
the

Answers

Answer:

There are 70 trucks

Step-by-step explanation:

trucks : cars:  

5            8      

Take 112 cars and divide by 8 cars

112/8 =14

We need to multiply each number by 14

trucks : cars:  

5*14            8*14

70                112

There are 70 trucks

8. (1 point)
A kayaker estimates the angle of elevation to the top of a cliff to be 20°.
He paddles closer to the cliff and the angle of elevation changes to 45°.
How you would determine the distance to the cliff, if it is possible?
a.
not possible
b. the cosine law
c. primary trigonometric ratios
d. the sine law

Answers

Answer:

a. not possible

Como repartir 5,20 dolares en cuatro partes iguales?

Answers

Answer:

Por ejemplo, podrías utilizar la división para determinar cómo repartir 40 ... 15 ÷ 5 = 3. Podrías también usar la recta numérica para modelar ésta división. ... ¿Cuáles de las siguientes expresiones representan dividir $56 en partes iguales entre 7 ... “5, 10, 15, 20, 25, 30. Debo saltar 6 veces para llegar a 30.” 30 ÷ 5 = 6.

Step-by-step explanation:

Write the decimal as a fraction or a mixed number in simplest form.

−2.7 But it is infinite its .777777777777777777777777777777777777777777777777777777777777777777777777777777 for ever

Answers

Answer:27777777777777/10000000000000

Step-by-step explanation:A decimal that keep repeating over and over again is called a repating decimal or irrational numbers as the classifying numbers that these.

Answer:

87.9990

Step-by-step explanation:

−2.7¯¯¯

Simplify .8 Times Square root of 100y^16

Answers

Answer:

8y^8

Step-by-step explanation:

math

Someone help! I'll give brainslist​

Answers

Answer:

square root of 202

Step-by-step explanation:

9^2+11^2=x^2

81+121=202

what is the circumstance of a bicycle tire with a radius of 11 inches?

Answers

Circumference = 2 x r x pi

Circumference = 2 x 11 x pi

Circumference = 22pi or 69.08 inches depending on what format the answer is supposed to be in.

Answer:

Solution :-

Circumference = 2πr

Circumference = 2 × 3.14 × 11

Circumference = 22 × 3.14

Circumference = 69.08 in

[tex] \\ [/tex]

is the sequence below is arithmetic {1, 8, 27,64}

Answers

Answer:

No

Step-by-step explanation:

No, because 8 - 1 ≠ 27 - 8. So, there is no common difference which is needed in order for the sequence to be arithmetic

Find the slope of the line that passes through the points (0,-5) and (-2,-3).​

Answers

Answer:

the slope is -1

Step-by-step explanation:

formula for slope is (y2-y1)/(x2-x1)

lets say (-2,-3) is (x2,y2)

-3-(-5)=2

-2-0=-2

2/-2=-1

Can someone plz help me with this one problem!!!

Answers

Answer:

Add all the given side lengths:

1 + 16 + 16 + 4 = 37!

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