What do a and b represent in the general term(tn)=an+b of sequence?​

Answers

Answer 1

The sequence Tn = an + b is an arithmetic sequence.

b represents the first term, and a represents the common difference

How to interpret variables a and b?

The general term is given as:

Tn = an + b

The above term is an arithmetic sequence.

An arithmetic sequence is represented as:

Tn = T1 + (n - 1)d

Where T1 represents the first term, and d represents the common difference

By comparing Tn = an + b and Tn = T1 + (n - 1)d, we have:

b = T1

a = d

This means that b represents the first term, and a represents the common difference

Read more about sequence at:

https://brainly.com/question/7882626


Related Questions

What is 2 7/10+4 1/10 in simplest form

Answers

Answer:

[tex]6\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]2\frac{7}{10}[/tex] + [tex]4\frac{1}{10}[/tex] = ( 2 + 4 ) + ( [tex]\frac{7}{10}[/tex] + [tex]\frac{1}{10}[/tex] ) = 6 [tex]\frac{7+1}{10}[/tex] = 6 [tex]\frac{8}{10}[/tex] = [tex]6\frac{4}{5}[/tex]

Based on your value of x in question #1, what is the value for ∠EHF
1) 132 degrees
2) 96 degrees
3) 180 degrees
4) 90 degrees

Answers

Answer:

∠EHF = 132°

Step-by-step explanation:

Both angles lie on a straight line.

=====================

∠EHF + ∠FHG = 180°2(x) + 48° = 180°2(x) = 180° - 48°2(x) = 132°x = 66°

Then ∠EHF :

2(x)2(66)132°

Angles are supplementary hence their sum is 180°

So

2x+48=1802x=180-482x=132x=66

So

<EHF=2(66)=132°

Is –6 − 65 positive or negative?

Answers

Answer:

It is negative.

Step-by-step explanation:

-6 - 65 is -71

Hope that helps!

Answer:

negative

Step-by-step explanation:

The equation -6 - 65 equals -71 because 65 is a positive number and -6 is not which means it must keep going negative because a negative plus a positive goes negative.

helpp!! Please I appreciate it ​

Answers

Answer:

x < -10

Step-by-step explanation:

Solve the inequality.

-2x + 4 > 24     Subtract 4 from both sides

-2x > 20           Divide both sides by -2

x < -10              We must flip the inequality sign because we divided by a negative number in the last step.

When you graph, draw a number line. Then, draw a circle on top of -10. Since x is less than -10, the arrow goes to the left of -10. Additionally, the circle on top of -10 will be an open circle because the inequality sign is a less than, not a less than or equal to.

I hope this helps and please mark me as brainliest!

A mechanic works on the overhaul of a transmission. He starts at 8:25 AM and finishes
at 4:25 PM, and takes one hour off for lunch. At $18.75 per hour, find out how much the
mechanic earned to the nearest crent.

Answers

$56.25

8:25 - 4:25 = 4 hours

4 hours - 1 hour for lunch = 3 hours

$18.75 x 3 = $56.25

What 2x4
Beacuse I need help on how to soulf it

Answers

Answer:

Its 8

Step-by-step explanation:

what is the degree of the expression 5x²+y+10​

Answers

Answer:

2

Step-by-step explanation:

Where do you get the 2/5 and 3/5 from

Answers

Answer:

we can get 3/2 as the answer

math help i’ve been stuck on this for the longest

Answers

angle 4 and angle 2 i believe, not 100% but 70%

I need help with this, question is in image. ​

Answers

Answer:

-75 ft

Step-by-step explanation:

Hope this helps! Have a great day!!

Answer:

-75

Step-by-step explanation:

hope this helped.

No explanation really is there to it.

Have a great day! :)

Using the net below, find the surface area
of the triangular prism.
4 cm
3 cm
6 cm
4 cm
6 cm
3 cm
5 cm
4 cm
Surface Area = [?] cm2

Answers

The surface area is all the sides areas added up

The area of the triangle is 1/2bh or 1/2(4)(3)
= 6
The area if the middle rectangle is bh or (3)(6)
= 18
The area of the other rectangle is bh or (5)(6)
= 30

6+6+18+30+30=90cm^2

Hope this helps :)

Quotient for 7.924/0.7

Answers

Answer:

11.32

Step-by-step explanation:

HURRY AND TY !!!!!!!! ​

Answers

Answer:

17

Step-by-step explanation:

5 ft 3 inches = 63 inches

3 ft 10 inches = 46 inches

63-14 = 17 inches

Answer:

17 inches

1 foot 5 inches

Step-by-step explanation:

1 foot = 12 imches

First we multiply :)

5 x 12 = 60

3 x 12 = 36

Now we add on the already there inches :)

60 + 3 = 63

36 + 10 = 46

Finally we subtract :)

63 - 46 = 17

17/12 = 1 foot 5 inches :)

Have an amazing day!!

Please rate and mark brainliest!!

Which equations can be used to find the lengths of the legs of the triangle? Select three options.

0.5(x)(x + 2) = 24
x(x + 2) = 24
x2 + 2x – 24 = 0
x2 + 2x – 48 = 0
x2 + (x + 2)2 = 100

Answers

The equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24

Pythaogram theorem

According to the theorem, the square of the hypotenuse is equal to the sum of the square of other two sides.

From the diagram

hypotenuse = 10ft

Other sides are x and (x+2)ft

According to the theorem:

10^2 = x^2 + (x+2)^2

x^2 + (x+2)^2 = 100

Expand

x^2 + x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
x^2 + 2x - 48 = 0

Divide through by 2

0.5x^2 +x - 24 = 0
0.5x(x+2) = 24

Hence the equations that can be used to find the lengths of the legs of the triangle are x^2 + (x+2)^2 = 100, x^2 + 2x - 48 = 0 and 0.5x(x+2) = 24

Learn moreon Pythagoras theorem here: https://brainly.com/question/18811544

factorise:-
(a+b)³ - (a-b)³​

Answers

[tex](a+b)^3 -(a-b)^3\\\\=(a+b-a+b)[(a+b)^2 + (a+b)(a-b) +(a-b)^2]\\\\=2b(a^2+b^2+2ab+a^2-b^2 +a^2 +b^2 -2ab)\\\\=2b(3a^2+b^2)[/tex]

Answer:

Step-by-step explanation:

(a + b)³ - (a - b)³ = a³ + 3a²b + 3ab² + b³ - [a³ - 3a²b + 3ab² -b³]

                         = a³ + 3a²b + 3ab² + b³ - a³  + 3a²b - 3ab² + b³

                         = a³ - a³  + 3a²b + 3a²b  + 3ab² - 3ab² + b³ + b³

Here, the underlined terms will be cancelled.

                         = 6a²b + 2b³

                        = 2 * 3 *a²*b  + 2*b³

                        = 2b* (3a² + b²)

PLEASE ANSWER - BRAINLY IF 2 ANSWERS - THANKS ON PROFILE TOO - 5 STAR RATING!

Answers

Answer:

b

Step-by-step explanation:

it takes 3 eggs to make two dozen cookies. About what fraction of an egg are in two cookies

Answers

keeping in mind that two dozen cookies is just 24 cookies, then

[tex]\begin{array}{ccll} eggs&cookies\\ \cline{1-2} 3 & 24\\ x& 2 \end{array} \implies \cfrac{3}{x}=\cfrac{24}{2}\implies \cfrac{3}{x}=12\implies 3=12x \\\\\\ \cfrac{3}{12}=x\implies \cfrac{1}{4}=x[/tex]

Alfred, an electrician, charges a $65
service fee plus $33 an hour. If it takes 2.4 hours
for Alfred to install a chandelier at a customer's
house, how much should he charge?

Answers

Answer:

$144.20

Step-by-step explanation:

2.4(33) + 65

79.2 + 65

144.2

$144.20

i need help finding our the perimeter

Answers

Answer:

11x + 10y - 2w

Step-by-step explanation:

Hello!

To solve for the perimeter, we add up the like terms.

What are like terms?

Like terms are terms with the same variable and degree. 4x and 5y are NOT like terms because the variable is not the same. However, 4x and 3x are like terms, as adding them gives us 7x.

4x and 4x² are not like terms, because the degree of 4x is 1 (degree means the largest exponent), but the degree of 4x² is 2.

Solve for Perimeter:

Combine the like terms by adding them up.

Perimeter = (8x - 4w) + (3y + 2w) + (3x + 7y)P = 8x - 4w + 3y + 2w + 3x + 7yP = 8x + 3x + 3y + 7y - 4w + 2wP = 11x + 10y - 2w

The perimeter is 11x + 10y - 2w

I need help

Marcus goes to the park, which is 4 miles away. He walks 5/12 of the way and then jogs the rest of the way.
Write an equation to find how many miles he walks.

Answers

Answer:

Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)

Step-by-step explanation:

Answer:

Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)

Step-by-step explanation:

7
Write the expanded form of 0.031 with fractions. Then complete
the steps to show how to write 0.031 as a fraction.
0.031 =
Х
1
+
100
Х
1,000
3
=
1
+
=
+
1,000 1,000
1,000

Answers

Answer:

soulutions

0,03| = 3×1^100 × 1× 1^1000

=3^100 + 1^1000

=30^1000 + 1^1000

=31^1000

(3=3×10 =30 )

(100 1000 1000 )

The ratio of red to yellow counters is 2:3 There are 20 counters in total. How many counters of each colour are there? You can colour the counters to help you. please help me ​

Answers

red counters: (2/5) x 20 = 8 red counters

yellow : (3/5) x 20 = 12 yellow counters
OR
20–8 = 12 yellow counters

Answer:

2:3 = 5

Red counters

2÷5×20

= 8

- therefore there are 8 Red counters

Yellow counters

3÷5×20

= 12

-therefore there are 12 yellow counters

is 1 2/6 irrational or rational?

Answers

I am pretty sure it is rational but if not sorry

Which equation results from adding the equations in this system?
-2x+y=8
5x-y=-5


O 7X= 13
O 7x=3
O 3x = 3
O 3x= 13​

Answers

Simply add the two equations up to get (-2x+y)+(5x-y)=8-5
Simplify to get 3x=3

Answer:

3x = 3

Step-by-step explanation:

the right answer is 3x = 3

-2x + y = 8 .......(i)

5x-y =-5........(ii)

From equation (i)

y=8+2x

Putting the value of y in euation (ii)

We have,

5x-(8+2x) = -5

5x-8-2x = -5

3x=-5+8

3x = 3

also what we can do is,

x=3/3

therefore, x =1

how to simplify 8 + ( -6 ) + 4

Answers

Answer:

6

Step-by-step explanation:

8+4=12

12-6=6

What is the quotient of the division below? 96 divided by 3 = 13 23 31 32

Answers

Answer:

The answer is 32      

Step-by-step explanation:

9/3=3                                                                                                                                                 6/3=2                                                                                                                                                         32

1) Draw [ab] and [bf] the images of [AB] and [BF] respectively with respect to L. What do we deduce about [ab] and [bf]? 2) Draw [de] the image of DE with respect to L. What do we deduce about [de] and [bf]? 3) Locate c be the symmetry of C with respect to L. What can we deduce about b, c, f? 4) Locate g the symmetry of G with respect to L. What can we g deduce about g with respect to [de]?​

Answers

Step-by-step explanation:

can you clear more I don't understand

PLEASE SOLVE THIS I NEED IT I GOTTA GO TO SCHOOL AT MONDAY I NEED IT ​ILL GIVE BRAINLIES

Answers

Answer:

In order to make a triangle, the sum of 2 sides must be greater than the third side

in number one 2+3=5 so no you can't make a triangle

you can do it likewise ...

Help, question is in image. ​

Answers

Answer:

-31

Step-by-step explanation:

substitute- y-8b = -7-8(3)

8(3)=24

-7- -24=

solve- -31

Answer:

-31

Step-by-step explanation:

Given

binomial: y - 8b

y = - 7

b = 3

Solution

-7 - 8(3)       Substitute 3 in for b and - 7 in for y

-7 - 24         Combine -8 and 3 (which is - 24

-31               Answer. - 31

Solve for x in the triangle. Round your answer to the nearest tenth. (Please help)

Answers

Answer:

x = 6.5

Step-by-step explanation:

Since this is a right triangle we can use trig functions

cos theta = adjacent side / hypotenuse

cos 23 = 6/x

x cos 23 / 6

x = 6 /cos 23

x=6.51816

Rounding to the nearest tenth

x = 6.5

Other Questions
i will marke brainliest. what is If 1=32=33=54=45=4Then, 6=?Heres a hint think about how many words are in the number when it is in word form Consider the system of equations.y = 4x + 2y=-2x + 6Part AGraph the equations. Estimate the solution of the system of equations.Estimated solution:Part BSolve the system algebraically,Show your workI need help like I get it at some points and some at nun PLEEEEEAAAASEEE HELPPPPPPsimplify the polynomial 3a(6a^2-4ab^2)+8a^2b^2-2b^3 Which three goals marked the Progressive Movement? What is the surface area of this right prism?48 in84 in96 in120 in Which statement best defines the term inherited trait? A. behaviors passed down from parents B. physical qualities passed down from parents C. physical qualities parents teach children to have D. physical qualities and some behaviors passed down from parents convert [tex]\sqrt3 + i[/tex] to polar form In 1994, a civil war broke out between the hutu and tutsi tribes in . in the war, hutus deliberately sought out and murdered tutsis. this action was known as . Which substances are contained in saliva and tears to break down pathogens?enzymesacidsoilssweat The table below lists four potential investments. The time for all of the investments is 5 years, and compound interest is compounded annually.Which investment produces the most interest? How does justice differ between countries and cultures? Please help with the proportions word problem!!Jillian wants to buy an $80 pair of boots. Before she can, the store raises the price by $24. By what percentage did they raise the price? Use proportions to solve the problem. How did the officials of Montgomery try to stop the boycott? I need extra help. Someone Write a recursive formula for a_na n , the n^{\text{th}}n th term of the sequence 6, 11, 16, ...6,11,16,.... Rule 1: Subtract 4 starting from 20. Rule 2: Subtract 3 starting from 20. Please help me con la resolucin porfa The great distance from America made it difficult for _____ to govern the colonies. Josh wants to spend less than $80 to buy4 shirts and a pair of pants. The pants cost $24.The shirts he wants all cost the same.2. Which inequality can be used to find how much Josh will spend on each shirt?A. 4s + 24 > 80B. 4s + 24 < 80C. 4s + 24 = 80D. 4s + 24 = 80 Write a research-based argumentative essay for or against health care for everyone.this is what I haveHealth care should be free for everyone. Not everybody can afford this and because of that, not only individuals, but families as a whole suffer. If health care was free and accessible to everybody, there would be a decline In the spread of diseases as more treatment would be available.Some people might say that health care should not be free for everyone seeing as that could potentially bring down our economy. However, the opposition against free health care is not a valid fear because many European counties have free health care and their economy functions fine.In conclusion, free healthcare would benefit and protect many citizens. It helps the majority of people and is the best solution hurry 80 pts