the first term of an arithmetic sequence is a b and the second term is a c. What is the explicit formula to find the nth term of the sequence?

Answers

Answer 1

Step-by-step explanation:

every new term is created by adding a constant (I call here x) to the previous term.

a1 = b

a2 = c = a1 + x = b + x

a3 = a2 + x = a1 + 2x = b + 2x

so, we see

an = a1 + (n-1)x = b + (n-1)x

from a1 and a2 we know

c = b + x

x = c - b

so, ultimately we have

an = b + (n-1)(c-b)

Answer 2

The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.

What is an arithmetic sequence?

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first term of an arithmetic sequence is b and the second term is c.

a₁ = b

a₂ = c

Then the common difference is given as,

d = a₂ - a₁

d = c - b

Then the explicit formula to find the nth term of the sequence will be given as,

aₙ = b + (n - 1) × (c - b)

aₙ = b + cn - c - nb + b

aₙ = cn - nb + 2b - c

The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ5


Related Questions

He receives 35 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs at least 55 points for a free movie ticket.

Write and solve an inequality which can be used to determine vv, the number of visits Omar can make to earn his first free movie ticket.

Answers

Answer:

8

Step-by-step explanation:

help please super easy

Answers

Answer:

with what i dont see nothing

Step-by-step explanation:

XD

you were right this was super easy.

Write using a fractional exponent.

Answers

Answer:

a number with a fractional exponent or power or index is the same as the denomination's root the whole number power the numerator

therefore the denominator will be three and numerator will be one

x²×⅓= x⅔

does anyone else do i-ready? my little sister thinks we are the only school that does it. She's in pinecrest academy.

i think other students do it too, just saying

Answers

Answer:

When I was in my school I use to before the virus we use to do I-Ready all the time so I can promise y'all ain't the only ones

what year was it, exactly 4 centuries before 1965?

Answers

Based on the number of years in a century, we can calculate that the 4 centuries before 1965 was 1565.

A century refers to a period of 100 years.

If we are looking for a period of 4 centuries therefore, this would be:

= 4 x 100

= 400 years

4 centuries before 1965 would therefore be:

= 1965 - 400

= 1565

In conclusion, the answer is 1565.

Find out more at https://brainly.com/question/17498856.

What is the measure of angle f

Answers

Answer:

48°

Step-by-step explanation:

1) The sum of the interior of any triangle is 180°. a + b + c = 180°. We need to find the value of x first before finding the angle F.

2) Substitute the values into a + b + c = 180, where [tex]a=6x-4[/tex], [tex]b =5x-7[/tex], [tex]c=8x-18[/tex].

Hence,

[tex]6x-4+5x-7+8x-18=180\\19x-29=180\\19x=180+29\\19x=209\\x=\frac{209}{19} \\x=11[/tex]

3) Find the angle of F by substituting 11 into x.

[tex]=5(11)-7\\=55-7\\=48[/tex]

Therefore, angle F has a measure of 48°.

What are the coordinates of the point on the line 6x-5y=8 that is closest to the origin.

Answers

Answer:

(0,-1.6) and (1.3,0)

Step-by-step explanation:

Last weekend, 15% of the tickets sold at Seaworld were discount tickets. If Seaworld sold 40 tickets in all, how many discount tickets did it sell? Use the percent proportion.

Answers

Answer:

6 tickets

Step-by-step explanation:

Here’s the full picture only 44, 45, 46, and 47

Answers

Answer:

m∠6 = 115; m∠5 = 115; m∠1 =  130; m∠4 = 65

Step-by-step explanation:

44.  m∠6 = 180 - 65 = 115

45. m∠5 = 180 - 65 =115

46. m∠1 = 180 - 50 = 130

47. m∠4 = 180 - (50+65) = 180 - 115 = 65

Answer:

the person below is correct

Step-by-step explanation:

hope it helped have an amazing night :)❤

help algebra 2 100 points if you answer right

Answers

the second one is the answer <i think>

[tex]\\ \tt\hookrightarrow (f+g)(x)[/tex]

[tex]\\ \tt\hookrightarrow f(x)+g(x)[/tex]

[tex]\\ \tt\hookrightarrow 4x^2-5x+3x^2+6x-4[/tex]

[tex]\\ \tt\hookrightarrow 7x^2+x-4[/tex]

Option B is correct

HELP ANSWER ASAP
ANSWER???

Answers

A proportional relationship means that two or more things are directly proportional, or that the quantities increase or decrease according to equivalent ratios. We can state this proportional relationship with the formula, y = kx. Y and x here are the quantities that are proportional to each other.

Proportional ur welcome :)

Write 4 ratio statements to compare the different types of sports balls in the collection. of 6 basket balls 5 base ball balls 3 soccer balls

Answers

Answer:

6:5:3

5:3:6

3:5:6

5:6:3

Step-by-step explanation:

16+4(q+11)+10q
simpaly

Answers

Answer:

14q + 60

............................

Answer : 60 + 14q

Explanation: you have to distribute the 4 to the q and 11 which will then get u 16 + 4q + 44 + 10q then you would add 4q and 10q which would get you 14q and then add 16 + 44 and that would get you 60 so your answer would be 14q+60

A package of breakfast bars has 12 breakfast bars in it. The total weight of the breakfast bars in the package is
552 grams. The mass of each breakfast bar is the same. What is the mass in grams of each breakfast bar?

Answers

It’s all too big and I love the kids and the gator is the

Cristian comió un 3/8 de pizza y Adriana comió 1/4 de la misma pizza. ¿Quién comió mas?

Answers

Cristian! Si ocupas el resultado es 0.375 (el de cristian)

Find the exact value of sin-1 the quantity square root of two divided by two. (2 points)
three pi divided by four
pi divided by three
two pi divided by three
pi divided by four

Answers

Answer:

[tex]\frac{\pi }{4}[/tex]

Step-by-step explanation:

[tex]sin^{-1}[/tex] ( [tex]\frac{\sqrt{2} }{2}[/tex] ) = [tex]\frac{\pi }{4}[/tex]

PLEASE HELP!! I WILL MARK BRAINLIST IF RIGHT!! Using the graph above, how many hours would it take to drive 262.5 miles? (Picture below)

Answers

Sheeeeeeeeeeeeeeeeesh
Well the line is increasing by every two boxes so since the 8th hour is 200 miles, 250 would be the 10th since every 50 miles is an hour. And personally I would say 262.5 miles would be 10.5 hours

2+4=? what does ? equal?

Answers

Answer:

= 6

Step-by-step explanation:

2+4 = 6

hope this helps.

ANSWER :

2+4 = 6

Step-by-step explanation:

Thanks for free point lol

Find the perimeter. Simplify your answer.

Answers

Answer:

The perimeter of the Parallelogram is 20z + 16

Step-by-step explanation:

For a Parallelogram

Perimeter = sum of all sides

P = (7z + 3) + (7z + 3) + (3z + 5) + (3z + 5)

P = 7z + 7z + 3z + 3z + 3 + 3 + 5 + 5

P = 20z + 16

Thus, The perimeter of the Parallelogram is 20z + 16

-TheUnknownScientist 72

The kids sell all the bags pf brownies for $2 each. How much money could they make from the Brownie sale?

Answers

Answer:

212

Step-by-step explanation:

106 x 2= 212

Answer:

ok so when there is 106 bags of brownies there is two ways that u can do this that i can think of so u can do 106 + 106 which= 212 or 106 x 2 = 212 this one was pretty easy u got this feel free to ask more questions!

Step-by-step explanation:

help ? lol..
i’m stuck on this

Answers

Answer:

24 ?

Step-by-step explanation:

I may be wrong but I believe the answer is 24 since she lost half of her CDs a week later. The number 6 is not important to the word problem as the only information we need in the amount she has left and the amount she lost. I may be wrong so please check the work again?

Answer:

18 CDs

Step-by-step explanation:

To find how many she started with, It says she lost half, meaning she had must have had 24. Because 12 is half of 12. If she lost half of 24, she would have 12 left. Before she bought 24, she had 6 less, because she bought meaning plus, 6. But to get the beggining, you do the oppisite, which is minus 6. So, 24-6 to get 18.

To make sure we are correct plug in 18. She starts out with 18. She buys, 6. So plus 6. 18+6 to get 24. But she then a week later lost half, leaving her with 12 CDs. By seeing this, we can tell, she did in fact, have 18 CDs to start out.

P.S wow she must really be dum b to lose an entire an entire 12 CDs in a couple hours.

What is the completely factored form of ? (2x - 5)(3x 1) (2x 5)(3x - 1) (2x - 1)(3x - 5) (2x 1)(3x 5).

Answers

Answer: (3x+1) (2x-5)

what is the value of x that makes this equation true 3/4 + x = 1/8

Answers

The correct value of ''n'' in this equation will be -5/8.

Step-by-step explanation:

To solve this equation, we're going to isolate ''x'', and then we're going to subtract the two fractions.

But to subtract the two fractions with different denominators, let's represent the fractions with the least common multiple of the denominators, being 8.

Resolution:

[tex]\large \sf \dfrac{3}{4} +x=\dfrac{1}{8}[/tex]

[tex]\large \sf x= \dfrac{1}{8} -\dfrac{3}{4}[/tex]

[tex]\large \sf x= \dfrac{1-6}{8}[/tex]

[tex]\large \sf x= \dfrac{-5}{8}[/tex]

[tex]\boxed{\boxed{{\large \sf x=-\dfrac{5}{8} }}}[/tex]

So we can conclude that the value of ''x'' in this equation will be -5/8.

Find the perimeter. Simplify the answer.

Answers

Answer:

16c+24

Step-by-step explanation:

4c+4c+7+7+8c+10=16c+24

4-7 questions need help

Answers

can u put it up close so i can see

PLEASE HELP I REALLY NEED HELP!

Answers

Answer:

It should be C. AAS

Step-by-step explanation:

There are symbols on the triangle indicating a shared right triangle, congruent angles, and a shared congruent side.

Hope this helps :)

Answer:

Yes, AAS

Step-by-step explanation:


Find the area of a circle with a radius of 6 feet. Use 3.14 for pi

Answers

Answer:

Replace the value of r in the formula :

A = π • r²

A = π • 6²

A = 113,097

Since you need to round off your answer to one decimal, your final answer is :

A = 113.1 square ft

Step-by-step explanation:

PLEASE HELP!!! URGENT!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

For a relation to be a function then every value of x must map to exactly one unique value of y.

Here every x- value corresponds to exactly one y- value

Then the ordered pairs represent a function

10. The ordered pairs (1, 2), (2, 8), (3, 18), and (4, 32) represent a function. What is a rule that represents this function? Show your work for full credit!

a.2x
b.2x+2
c.x^2
d.2x^2

Answers

Answer:

B 2x+2 I don't know whether is correct or not

Please translate each algebraic expression to English phrase
1. x - 8

2. 13 + 2y

3. 4 ( x+ 5)

4. 7x

5. m + 6

Answers


1. x - 8

2. 13 + 2y

3. 4 ( x+ 5)

4. 7x

5. m + 6
1. Eight less than some number

2. Thirteen plus two times some number (I think)

3. Four times the sum of a number and five

4. Seven times some number or the product of a number and seven (not sure)

5. Six more than a number
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