Examine the sequence of values below. 653, 1261, 1869, 2477, 3085, 3693 Which algebraic expression represents the nth value in this sequence?

Answers

Answer 1

Answer: [tex]a_{n}=653+(n-1)608[/tex]

Step-by-step explanation: This sequence of numbers is an arithmetic progression: a sequence of numbers in which the last number is the previous number plus a constant factor.

For example, the sequence:

653 1261 1869 2477 3085 3693

if you subtract each term with its previous number, the result will be 608:

1261 - 653 = 608

1869 - 1261 = 608

...

33693 - 3085 = 608

For a general arithmetic progression, the nth value is

[tex]a_{n}=a_{0}+(n-1)r[/tex]

where

[tex]a_{n}[/tex] is the wanted value

[tex]a_{0}[/tex] is the first value

n is number of terms or values

r is constant factor

For the sequence above, nth value is:

[tex]a_{n}=653+(n-1)608[/tex]

The algebraic expression for the nth value in this sequence is [tex]a_{n}=653+(n-1)608[/tex].


Related Questions

Help please like how do you explain it the steps

Answers

The answer and explanation is written above

Hope this helps.

Please mark as brainliest

A car travels 1,295 feet in 5 seconds. At that speed, how far can this car travel in 50 seconds? ​

Answers

Answer: 12,950 feet in 50 seconds

Step-by-step explanation: 1,295 x 10 =12,950 5 x 10 = 50 seconds

i have not learned a single thing behind this screen and i’m gonna probably fail this test :( please help

Answers

Answer:

74 degrees

Step-by-step explanation:

Answer:

x = 74

Step-by-step explanation:

since the sides are the same lengths they will be the same angles

32 + 2x = 180

2x = 148

x = 74

Check:

32+ 74 + 74 = 180

the sale tax rate on groceries in a certain state is 9% if the price of a grocery item before sales tax is g dollars, which expression represents the cost of the grocery item including sales tax?

Answers

Step-by-step explanation:

g + 0.09g = the final price

multiplying 0.09(9/100) with g will give you the tax

then you add it up to get the final cost.

The expression representing the cost of the grocery item including sales tax is 1.09g.

What is Percentage?

Percentage is a dimensionless number and it has no measurement units.

It is usually denoted by the sign %. Sometimes it has also used in the abbreviated form 'pct.'.

Percentage of a number is the quotient of the number dividing with the whole and then multiply with 100. The reverse calculation can be done to find the number corresponding to a percentage.

Price of a grocery item before sales tax = g dollars

Sales tax rate on groceries = 9%

Amount of sales tax = 9% × g

                                 = (9/100) × g

                                 = 0.09 g

Total cost of the grocery = g + 0.09g

                                         = 1.09g

Hence the total cost of the grocery item including sales tax is 1.09g.

To learn more about Percentage, click on the link given below :

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Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at a constant speed. In kilometers, How far did Andre run in 60 minutes ?

help ASAP

Answers

Answer:

They did not run at the same speed. Calculation of their speed shows that Jada was running at a higher speed.

Step-by-step explanation:

Let's first calculate the speed of each person using the units provided so that we  do not complicate the question.

speed =  distance covered/time taken

Andre's speed = 2 km/15 min = 0.133 km/min

Jada's speed = 3km/20 min = 0.15 km/min

Clearly we can see that Jada was running at a higher speed than Andre. The question says they were running at constant speed not equal speed. That just means each person maintained their speed, they did not get faster or slower.

When applied to triangle ABC, what series of transformations will produce a triangle with
vertex coordinates A'(8,1), B' (4, -3), and C'(-2, 4)?

Answers

Answer: a rotation 90 degrees followed by a reflection about the y axis

A guitar costs $545.95. If tax is 9.5%, what will the total price of the guitar be?

Answers

Answer: The total price of the guitar will be $597.82

Step-by-step explanation:

Multiply 545.95 by 0.095 and you get 51.87. Add 51.87 to 545.95 and you get 597.82

Which of the following is the complete list of roots for the polynomial function f (x) = (x squared + 2 x minus 15) (x squared + 8 x + 17)?
A) 5, 3
B)–5, 3, –4 + i, –4 – i
C)–5, 3, –4 + i, 4 + i
D) –4 + i, –4 – i

Answers

Answer: ITS B (-5,3,-4 + i, -4 - i)

The correct answer is B, or –5, 3, –4 + i, –4 – i

Just got it right on edge 2020, hope this helps!! :)

( — 6x — Зу = 0)
(x — Зу =-7)

Answers

Y=2 and X=-1 are the answers

After an earthquake, 3/5 of all claims were paid within a month. Of the remaining claims not paid 2/5 of them were paid within the second month. What fraction of claims were paid in the second month?

Answers

the answer is 6/25 of them were payed in the second month

Elena is feeding her neighbor’s dogs. Each dog gets ⅔ cup of dog food, and she uses 3 ⅓ cups of food. How many dogs does her neighbor have?

Answers

Answer: 5 dogs

Step-by-step explanation:

1. So fist I would convert the three into the fraction witch would become

10/3

2. Then love the problem

Answer:

Her neighbor has 5 dogs

if a yard is 3 foot long, how many inches are in on yard

Answers

Answer:

36 inches

Step-by-step explanation:

Answer:

36 inches

Step-by-step explanation:

a yard is 3 feet long

there are 12 inches in a foot

so there are 12x3 inches on a foot.

12x3=36 inches


Plz plz help ASAP please plz

Answers

Answer:

Circle A or +2

Step-by-step explanation:

Step 1. Cross Multiply

This gets you -15 * -2 and -16 * -1

Step 2. Simplify

This gets you 30/16 which converts to 15/8 or 1 7/8

Step 3. Round your answer to the nearest whole number

This would result you with positive 2

Step 4. CIRCLE A :)

Write in slope-intercept form (solve for y): 5x - 2y = 8

Answers

Answer:

y = 5/2 x - 4

Step-by-step explanation:

For slope-intercept form, just solve for y:

5x - 2y = 8

[tex]\frac{5x}{2} - \frac{8}{2} = \frac{2y}{2}[/tex]

5/2 x - 4 = y or

y = 5/2 x - 4

The slope intercept form is y= 5/2x - 4.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have the Equation

5x - 2y = 8.

As, we know from the slope intercept form

y= mx + b

So, 5x - 2y = 8

5x - 8 = 2y

5/2x - 8/2 = y

y= 5/2x - 4

where slope is 5/2 and y intercept is -4.

Learn more about Slope here:

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Amanda filled her gas tank three times last week. Here are the amounts of gas she bought (in gallons). 10.7,15 , 3.7 What is the total amount of gas Amanda bought last week?

Answers

Answer:

29.4 gallons

Step-by-step explanation:

Given that

the amounts of gas she bought (in gallons). 10.7,15 , 3.7

total amount of gas Amanda bought last week will be sum of 10.7 , 15 and 3.7

total amount of gas Amanda bought last week = 10.7 + 15 + 3.7

=>  total amount of gas Amanda bought last week = 29.4

Thus, Amanda bought 29.4 gallons in total in last week.

Can someone please right a equation that is the parent function of absolute value, reflects across the x-axis, has a vertical shift up 3, and has a horizontal shift left 2.

Answers

Answer:

y= –Ix+2I+3

Step-by-step explanation:

evaluate the expression when b=6 and x=-5
-b+2x

Answers

Let's solve for b.

x=−5−b+2x

Step 1: Flip the equation.

−b+2x−5=x

Step 2: Add -2x to both sides.

−b+2x−5+−2x=x+−2x

−b−5=−x

Step 3: Add 5 to both sides.

−b−5+5=−x+5

−b=−x+5

Step 4: Divide both sides by -1.

−b

−1

=

−x+5

−1

b=x−5

Answer:

b=x−5

Answer:

If b=6 and x=-5 then the equation would turn into -6-10. The answer is -16. I hope I helped! :P

Hi, I need some help with this pls! I would really appreciate it!

Answers

Answer:

78

Step-by-step explanation:

There were 9 roses in the vase. Sally cut some more roses from her flower garden. There are now 12 roses in the vase. How many roses did she cut?

Answers

Answer:

3 roses were cut

Step-by-step explanation:

hope this helps

Step-by-step explanation:

9 + 3=12

3R >

Three roses were cut

What is x squared minus 25 equals 0

Answers

Answer:

its 9 at night gts.

Step-by-step explanation:

5 squared is 25
25 - 25 is 0
So yeah, x = 5

What is the amount of simple interest paid on a principal amount of 3000 at a rate of 7% for a term of 4 years ?

Answers

Answer:

$3,840.00

Step-by-step explanation:

Formula for finding simple interest - P×R×T÷100

3000 ×7 ×4 ÷100

= $3,840.00

Luke had $14.50. He spent $4.35 at the snack bar and $5.25 at the arcade. What is the exact amount of money Luke has left?

Answers

Answer: $4.90 left

Step-by-step explanation:

He spent a total of $9.60 at the snack bar and the arcade. You need to just subtract this from the total he had to get $4.90 left.

Name the corresponding angle or side.

A) A
B) B
C) C
D) D

Answers

C uq hope this helps you
The answer would be C

PLZ HELP############################

Answers

Answer:

16/20 because u multiply the botom by five and the top by five

Step-by-step explanation:

Answer:

4/5 x 4 = 16/20 = 4/5

Step-by-step explanation:

The answer is 4/5

Fill in the blank to complete the following sentence
the two roots a+ square root of b and a- square root of b are called ___radical

Answers

Answer:

conjugate

Step-by-step explanation:

just took the test

The total cost for prom including rental facilities is $1560. They received an anonymous donation for $500. How many tickets do they need to sell at $15 each to at least break even?

Answers

71 y van q sobrar 5 pesos

Divide. Write answers in simplest form 3/8 divided by
3/10

Answers

Answer: 5/4 is the answer

Sam can clean his room in 3 hours. His sister, Susan, can clean his room in 2 hours. How long will it take them to clean the room working together?


This is a rational equation problem

Answers

Answer:

2 hour for sams room 1 hour to clean susan room i think sorry fi im wrong

Step-by-step explanation:

Is each of these an expression , an equation a formula or a function?
17-3m=
n 2n+1=
a/4 + 2b -3=

Answers

Answer:

it 5 6t6rdhdjcjcnfjfnvjvncnchcjbcjcnckc NM ckxm

original price: $60 Markup: 15% Retail Price:??

Answers

It should be $51 dollars

Answer:

51

Step-by-step explanation:

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