Calculate the sum of the first 20 terms of an arithmetic sequence with the 3rd term 8 and the 8th term 143.

Answers

Answer 1

Answer:

4670

Step-by-step explanation:

that is the workings above

Calculate The Sum Of The First 20 Terms Of An Arithmetic Sequence With The 3rd Term 8 And The 8th Term
Answer 2

If the third term is 8 and eighth term is 143 then the sum of first 20 terms is 4210.

What is arithmetic progression?

Arithmetic progression is a sequence in which all the terms have equal differences. Nth term will be a+(n-1)d in which a is first term, d is difference and n is number of term.

How to calculate sum?

We have been given that third term is 8 and eight term is 143 and we have to calculate the sum of first 20 terms.

[tex]A_{3}[/tex]=a+(3-1)d

8=a+2d-----1

[tex]A_{8}[/tex]=a+(8-1)d

143=a+7d---2

Subtract equation 1 from equation 2.

a+7d-a-2d=143-8

5d=135

d=27

Put the value of d in equation 1.

a+2d=8

a+2*27=8

a+54=8

a=-46

We know that,

[tex]S_{n}[/tex]=n/2[2a+(n-1)d]

=20/2[2*(-46)+(20-1)*27]

=10(-92+19*27)

=10(-92+513)

=10*421

=4210

Hence if the third term is 8 and eighth term is 143 then the sum of first 20 terms is 4210.

Learn more about arithmetic progression at https://brainly.com/question/6561461

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Related Questions

A tree is 8 feet and 11 inches tall.
How tall is the tree in meters?
Round to 2 decimal places if necessary.
Round to 2 decimals if necessary.​

Answers

Answer:

2.72 meters

Hope that this helps!

Zach wants to represent x^6 y^4 as a square. Which expression should he use?
A. (x^2y)^2
B. (x^3y)^2
C. (x^3y^2)^2
D. (x^4y^2) ^2​

Answers

Answer:

C. ( x ³ y² ) ²

Step-by-step explanation:

➛ x ⁶ y⁴

➛ ( x ³ y² ) ²

Determine the scale factor.

NEED HELP ASAP

Answers

Answer:

3

Step-by-step explanation:

so you can see it more boldly

explained in the comment thing.

The perimeter of the classroom shown is 6x + 3. Find the length of the missing side.

Answers

Mark Brainliest please

Answer:x+1

The perimeter of a certain polygon is the sum of the measures of all its sides. If we are to use this concept with the given polygon above then that would be,
P = (3x + 1) + x + x + ?
We are also given that the perimeter is equal to 6x + 2. We substitute this to the equation derived,
6x + 2 = (3x + 1) + x + x + ? Simplifying, 6x + 2 = 5x + 1 +? ? = x + 1 Answer : the last side or ? is equal to x + 1.

Lou says to his granddaughter Audrey, "Even if you tripled your age and added 9, you still wouldn't be as old as I am.” Lou is 60 years old. Write and solve an inequality to determine the possible ages Audrey could be.

Answers

Answer:

3x+9 < 60 where x = Audrey's age

Step-by-step explanation:

Lou says "even if you tripled you age", which means that if Audrey's age is represented by the variable x, then we would multiply it by 3 to get 3x. the next part says "and add 9". We already have the 3x, so we would just tack on a +9 to get 3x + 9. The last part says "you still wouldn't be as old as me." Given that 3x+9 represents Audrey's age, this equation would have to be less than Lou's age, which in this case is 60.

The table of values shows the number of touchdown passes that a quarterback threw in each of his first five football games of the season.

Game vs. Touchdown Passes
Game
Touchdown passes
1
3
2
1
3
3
4
2
5
3

Which would be a point on the scatterplot that represents touchdown passes based on these games played?
(1, 2)
(2, 4)
(3, 1)
(5, 3)

Answers

Answer:

D

Step-by-step explanation:

If x is the game number, and y is the amount of touchdown passes for that specific game number, then (5,3) represents the idea that the quarter back threw y = 3 touchdown passes for game number x = 5

So the answer is choice D. This is the only ordered pair that comes from the given table. Something like (2,4) isn't true because the quarterback threw 1 touchdown pass (not 4) in game two.

Answer:D

Step-by-step explanation:

Helppp ASAAPPPP WILL MARK AS BRAINLIST

Answers

GOOD LUCK ON SOLVING THAT KIDDO!

Can someone please help me ??

Answers

Answer:

D

Step-by-step explanation:

Let w represent the width

Length=18+W

And width=w

So area of a Triangle equals (length times width)divided by two

Area=(18+w)(w)/2

And the area is given to us as 189

180=(18w+w^2)/2

Multiplying both sides by two yields

360=18w+w^2

The subtract 360 from both sides to get

w^2 +18w-360=0

Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 17 Pennies 10 Dimes 19 Nickels 23 Quarters What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny

Answers

Answer:

0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of grabbing a nickel:

19 nickels out of 17+10+19+23 = 69 coins, so:

[tex]P(A) = \frac{19}{69}[/tex]

Probability of grabbing a penny, considering the first coin grabbed was a nickel:

17 pennies out of 68 coins. So

[tex]P(B|A) = \frac{17}{68} = \frac{1}{4}[/tex]

What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny?

[tex]P(A \cap B) = P(A)P(B|A) = \frac{19}{69} \times \frac{1}{4} = \frac{19}{69*4} = 0.0688[/tex]

0.0688 = 6.88% probability that you reach into the jar and randomly grab a nickel and then, without replacement, a penny.

Prove that: log b (p2 - q2) – log b (p + q) = log b (p – q)

Answers

Answer:

Step-by-step explanation:

The formulas used to solve :

[tex][ log_b(\frac{x}{y}) = log_bx - log_by][/tex]

[tex](p^2 - q^2) = (p+q)(p-q)[/tex]

    [tex]log_b(p^2 - q^2) - log _b(p + q) = log_b(p-q)\\\\log_b(\frac{(p^2 -q^2)}{(p+q)}) = log_b(p-q)\\\\log_b(\frac{(p+q)(p-q)}{(p+q)}) = log_b(p-q)\\\\log_b(p-q) = log_b(p-q)\\\\[/tex]

Hence proved.

2+3=????????????????????????

Answers

Answer: 5

Explanation: Use a calculator :)

Evaluate the expression for a = 3 b = 4 c = 6


a³ - ( b + c ) =

Answers

[tex]\boxed{17}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Substituting the values of a, b and c in the expression, we have

[tex] {a}^{3} - (b + c) \\ = ( {3})^{3} - (4 + 6) \\ = (3 \times 3 \times 3) - (10) \\ = 27 - 10 \\ = 17[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

17 ( See image below:)

Step-by-step explanation:

you substitute what a is which is 3

then b=4

then c=6

so

3^3-(4+6)

According to the table below, what is the probability that the grade of a student chosen at random will be a B or higher? Grade A B с D F 4 Probability 2 35 3 35 17 35 9 35 35 3 OA. B. 7 Oc. VIN O D. / SUBMIT​

Answers

Answer:

1 / 7

Step-by-step explanation:

Given the distribution above :

P(grade B or higher) can be defined explicitly as :

P(Grade A) + P(Grade B)

P(grade A) = 2/35

P(Grade B) = 3 / 35

Hence,

P(Grade B or higher) = 2/35 + 3/35 = 5/35 = 1/7

I neeeeeeeeeeeeeed help

Answers

9514 1404 393

Answer:

  14 +2i

Step-by-step explanation:

For this sort of problem, you can treat i as though it were a variable. Combine like terms.

  (8 -7i) +(6 +9i) = (8 +6) +(-7 +9)i

  = 14 +2i

Identify the vertex of the graph tell whatever it is a minimum or maximum

Answers

Answer:

There's no Image. I guess you forgot to send.

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

The distance between city C and city D is 263.81.

(City a to b) 123.93 - (city b to c) 178.35 = 302.28

566.09 - 302.28 = 263.81

PLEASE SAY if my answer is correct!
Brainliest would be appreciated if I am!
-SpaceMarsh have a nice day!

Maria is planting a row of flowers in a bed 28 feet long. The instructions say to space the plants 1 foot apart, allowing room for 28 flowers. The flowers come in flats containing 6 plants per flat.
How many flats will she need?
How many plants will she have left over?

Answers

Answer:

She will need 5 flats.

She will have 2 plants left over.

Step-by-step explanation:

Since she needs 28 flowers and there are 6 flowers in each plant.

To find the number of flats she needs simply divide 28 by 6

=28/6

=4.67

=Rounding off we get 5

Now we know that she need 5 flats so 5 flats will contain 5*6= 30 flowers total.

Since she has space for 28 flowers only the remainder will be;

30-28=2

Therefore she will have 2 plants leftover.

Helppppppppppppppppp

Answers

If the slope is given then all is left is y-intercept which is equal to -3 which is also given in the question from the point (-4,-3), then your equation would be complete if you have these two so I think the answer is y=3/4x-3 and I’m really sorry if my answer is wrong but i tried my best and good luck!!

What is the circumference of a circle with a diameter of 2.9 cm?​

Answers

Answer:

C≈9.11

Step-by-step explanation:

Peter and his four brothers combined all of their money to buy a video game. If 25% of the total money is Peter's, and $10.00 of the total money is Peter's, how much do all five brothers have combined?
A.
$2.50
B.
$50.00
C.
$30.00
D.
$40.00

Answers

Answer:

t represents the total amount

0.25t = 10.00

Can you solve for t and answer?

Or logically

Peter's 10.00 is 1/4 (25%) of the total.

Therefore 4/4 is $40.00

Step-by-step explanation:

Please mark brainliest

Solve the equation by completing the square. X^2+10x+24=0

Answers

Answer:

x = -4

x = -6

Step-by-step explanation:

X^2+10x+24=0

(b/2)^2 = (10/2)^2 = 25

X^2+10x+25=-24+25

(x+5)^2 = 1

(x+5) = ± 1

x = +1 -5 = -4

x = -1 -5 = -6

If 5 times a number increased by 30 is 15, what is the number?

Answers

Answer:

let x=the number

5x+30=15

5x=15-30

5x=-15

5x/5=-15/5

x=-3

Let's keep the,

Value of unknown number as y.

Then find the y,

→ 5y + 30 = 15

→ 5y = 15 - 30

→ 5y = -15

→ y = -15/5

→ [y = -3]

Therefore, -3 is the number.

The width of a rectangle is 5 ft less than the length. The area of the rectangle is 234f * t ^ 2 Find the length Land width W of the rectangle: L = W =

Answers

Answer:18x13

Step-by-step explanation:

6x1=6 7x2=14 keep going up staying 5 less than or more than it doesn't matter cause its the same when dealing with just two exponents. When you get to 18x13 you get 234.

If post are space 5 feet apart and how many posts are needed for 60 feet of straight line fence

Answers

Answer:

12 posts are needed

Step-by-step explanation:

60 divided by 5 is 12


What is the answer

Answers

IM HERE SO I AM THE ANSWER MY GUY

Sequences and Series precalc multiple choice, will give brainliest.

Answers

9514 1404 393

Answer:

  False

Step-by-step explanation:

The given formula is the "explicit" formula for the sequence.

The recursive formula would be ...

  a[1] = 160

  a[n] = 1/2·a[n-1] . . . . each term expressed in as a function of previous terms

The given statement is false.

The perimeter of a regular heptagon is 21m. How long is each side?
5 m.
2 m.
3 m.
4 m.
PLS ANSWER!
I will give Brainlist to whoever answers first.

Answers

Answer:

The perimeter of a regular heptagon is 21m. Each side is 3 m long.

Step-by-step explanation:

in the given heptagon,

perimeter(p)=21m

length(l)=?

We know that,

HEPTAGON HAS 7 SIDE

So that,

length=21/7

=3m#

Sixty percent of all children in a school do not have cavities. The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities is:

Answers

Answer:

Probability[Number of 6 random sample do not have cavities] = 0.8

Step-by-step explanation:

Given:

Number of student do not have cavities = 60%

Number of random sample = 9 children

Find:

Probability[Number of 6 random sample do not have cavities]

Computation:

n = 9

p = 60% = 0.6

P(At least 6)  

Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than 6)  

Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than or equal to 6)

Probability[Number of 6 random sample do not have cavities] = 0.8

The probability of 9 children selected from this school, at least 6 do not have cavities is 0.80.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Sixty percent of all children in a school do not have cavities.

The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities will be

n = 9

p = 0.60

Then we have

[tex]\rm P = 1 - P(less \ than \ or \ equal \ 6)\\\\P = 0.8[/tex]

More about the probability link is given below.

https://brainly.com/question/795909


Find the inverse of the given function
f(x)=4x-12

Answers

X= 1/4y +3

Please mark brainliest!

e these word problems. Check your answers.
A man had paid $175.50 in interest at the end of three years. How much had he borrowed at 9% per year?
(The problem gives you the interest, rate, and time. You need to find the principal.)

Answers

Answer:47.38

Step-by-step explanation:175.50/100 x27

im not that sure

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