Compose an expression that can model the first three terms of any arithmetic sequence in terms of just a and d. Type your answers in the most simplified form.

Answers

Answer 1

Answer:

First term: a

Second term: a+d

Third term:a+2d

Step-by-step explanation:

Answer 2

An expression that can model the first three terms of any arithmetic sequence in terms of just a and d is aₙ = a + (n - 1)d.

What is an arithmetic sequence?

An ordered group of numbers with a shared difference between each succeeding term is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 8, 13, 18, and 23 is 5. An arithmetic progression is another name for an arithmetic sequence.

How to solve this problem?

Let the a be the initial term of a sequence and d be the common difference, then the nth term of any arithmetic sequence can be written as aₙ = a + (n - 1)d.

If we want first three terms of any arithmetic sequence, then we have to put n = 1, 2, 3 in the above expression.

So, for n = 1, a₁ = a + (1 - 1)d = a + 0d = a

for n = 2, a₂ = a + (2 - 1)d = a + d

for n = 3, a₃ = a + (3 - 1)d = a + 2d

Therefore, an expression that can model the first three terms of any arithmetic sequence in terms of just a and d is aₙ = a + (n - 1)d.

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Related Questions

What is the measure of the angle fgb? Can someone please help asap ill mark brainlist!!!

Answers

Answer:

The measure is 145

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

The total sum of angles around a point is 360 degrees.

Line A is perpendicular to Line B. If the slope of A is -1/7, what is the slope of Line B?

Answers

Answer:

m = 7

Step-by-step explanation:

Perpendicular slopes are negative reciprocals so:

m of A = -1/7

m of B = 7

Simplify the following expressions: 1/3(6a+12)+3a

Answers

Answer in simplified expression: 5a+4

The simplified answer is 5a + 4

What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.

Answers

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto. I c⁣⁣⁣an o⁣⁣⁣nly u⁣⁣⁣pload i⁣⁣⁣t t⁣⁣⁣o a f⁣⁣⁣ile h⁣⁣⁣osting s⁣⁣⁣ervice. l⁣⁣⁣ink b⁣⁣⁣elow!

bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

29 degrees and 151 degrees!

Step-by-step explanation:

use prime factorization to find square root of 196

Answers

Answer:

14

Step-by-step explanation:

You should always specify if you want an exact answer or a rounded one. I'll assume the former.

Prime Factors

196 = 2 * 98196 = 2 * 2 * 49196 = 2 * 2 * 7 * 7

Rule

For every 2 factors under the root sign, take 1 outside the root sign and throw the other one away.

Solution

[tex]\sqrt{2 * 2 * 7 *7}[/tex]

2 * 7 * √1

14

What value of x makes the equation -2/3x + 3 1/3x - 1/2 = -1/3x + 5 1/2 true? Please help ASAP!!!!!!!!

Answers

Answer:

x = 2

Step-by-step explanation:

The steps of the solution in the photo above

I hope that is useful for you :)

Please help me as soon as possible; your help is highly appreciated .The topic is Probability. I will give 5 stars rating and 15 points to whoever helps me first ,and correctly does so.NO LINKS OR I WILL REPORT!!!

Answers

Answer:

1/3 because he took one red and there were 4 but now there is 3.

16 cars are parked if 1/4 of them are blue how many cars are blue

Answers

Answer: 4

Step-by-step explanation:

Answer:4

Step-by-step explanation: for example, you have 1/4 if you double that you get 2/8, triple it would be 3/12, next would be 4/16

How many solutions does this equation have?

6b = 3b + 3b

is there a solution

Answers

Answer:

Yes

The answer is 1

Step-by-step explanation:

help! brainliest!!! picture below

Answers

the answer to this question is c. which is 18

a line is reflected. Which of these could be the result? Pls help

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

AP EX

The length of a rectangle is 1 meter less than twice its width. The perimeter of the rectangle is 40 meters. What are the dimensions of the rectangle?

Answers

So 1 is blank and two is 40 so DO IT URSELF STOP BEING LAZYYY

Plss I need this rnnn

Answers

Answer:

x= 65

Step-by-step explanation:

3x-15=180

add 15 both sides

3x= 195

divide by 3

x=65

the answer for x would be 65 (x=65

A 4 pound force acting in the direction of (4,-2) moves an object just over 7 ft from point (0,4) to point (5,-1). Find the work done to move the object to the nearest foot-pound

Answers

Answer:

[tex]W=59.7408J[/tex]

Step-by-step explanation:

From the question we are told that:

Force [tex]f=4N[/tex]

Force Direction [tex]\arrow (4,-2)[/tex]

Distance traveled [tex]d_t=7ft \aprrox\ 2.1336m[/tex]

Distance traveled Direction point (0,4) to point (5,-1)

 

Generally the equation for work done is mathematically given by

 [tex]W=force*distance[/tex]

 [tex]W=f*d_t\\W=4*7*2.1336[/tex]

 [tex]W=59.7408J[/tex]

what is the solution to the equation 3x + 15 = 9

Answers

Answer:

3x + 15 = 9

3x = 9 - 15

3x = -6

x = -6/3

x = -2.

How many more brooms must each earn in order to have enough credit to get a month off with pay?

Answers

Answer:

5

Step-by-step explanation:

y=330(1.06)^x
answer​

Answers

Answer:

349.8^x

Step-by-step explanation:

330*1.06=349.8

Answer:

6% increase

Step-by-step explanation:

Find the product, using suitable properties:

(-23)×48 ​

Answers

Answer:

-1104

Step-by-step explanation:

(−23)(48)

= (−1104)

Give me Brainllest

Find the distance between the points (1,0) and (2,-2)
Distance = ?
please help!!!!​

Answers

Answer:

√5

Step-by-step explanation:

use distance formula

Square root of 5 is the exact form and 2.23 is the decimal form

If you spin the spinner 12 times, what is the best prediction possible for the number of times it will land on pink?

Answers

2/3 if that’s the question

HELP PLS ITS URGENT !!

Answers

Answer:

I think it'll be D

Step-by-step explanation:

srry if wrong

hope this helps

find the measure of angle b (image below)

Answers

Answer:

123+b=180 (being sum of straight angle)

b=180-123

b=57

can someone please help me with this:

x/4 ≤ -2

Answers

-8(super duper sorry if you get it wrong I tried my best)

pls answer 13 points!! :)

Answers

Answer:

140 lb.

Step-by-step explanation:

Answer:

140 pounds

Step-by-step explanation:

75% of 80 is 60

100% of 80 is 80

80+60 = 140

HELPPOO MEEEEE plessss

Answers

the answer is yes. Why? Because if you move a vertical line across the graph, at any given moment, it only touches one point. If it touched more than one point it wouldn't be a function.

solve the question z + 18 = 27.

Answers

9???????????????????????????????

Answer:

I'm going to guess that you are trying to find z. If so, Z is 9.

Step-by-step explanation:

Z + 18 = 27

Subtract 18 on both sides

Z + 18 = 27

Z - 18 = - 18

Z = 9

Solve for x

(3x-4)/14=9/10

Answers

Answer:

x=5.53333333333333333333333333333333333333333

Step-by-step explanation:

cross multiply and solve:

30x-40=126

30x=166

x=5.533333333333333333

How many times greater is the value of the 6 in 618,923 than the 6 in 27.652

Answers

600,000 there



- helaaaa

The value of 6 in  618,923 is 1,000,000 or 1 million times greater than that of 6 in 27.652.

What is Place Value?

Place value of a digit in a number is defined as the value of that digit according to the position where it stands.

Place value of a whole number of digits from right to left can be expressed as ones, tens, hundreds, thousand, etc.

Place value of a decimal number after the decimal point from left to right can be expressed as tenths, hundredths, thousandths, etc.

The given numbers are 618,923 and 27.652.

Place value of 6 in 618,923 = 6 × 100,000

That is 6 hundred thousands is the place value.

Place value of 6 in 27.652 = 6 × 1/10 = 6 × 10⁻¹

This is at the tenth place.

6 × 100,000  = 6 × 10⁻¹ × 1,000,000

So 6 × 100,000  is 1,000,000 times greater than 6 × 10⁻¹.

Hence the value of 6 in 618,923 is 1,000,000 times greater than the 6 in 27.652.

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Please help me! I need this done in 10 mins.

Answers

Answer:

I'm pretty sure the answer is 14m

Step-by-step explanation:

All you have to do is add the numbers together.

Hope this helps!

Answer:

The answer is 28.5

Step-by-step explanation:

Break apart the shapes then add their areas

Rectangle: 3 * 6 = 18

Top triangle: 6 * 2 = 12 / 2 = 6

Triangle on the right: 3 * 3 = 9 / 2 = 4.5

Total area = 28.5 meters squared.

Please help solve correctly. NO links or files. Correct answers only if not report. I will even give an additional 10 if correct.

Answers

Answer: 228 cm

hope this helped :)

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