Find the 66th term of the arithmetic sequence 3, 13, 23, ...3,13,23,...

Answers

Answer 1

Answer:

[tex]a_{66}[/tex] = 653

Explanation:

General formula: [tex]a_{n}[/tex] = ([tex]a_{1}[/tex] + ((term) - 1) · (common difference)

[tex]a_{66}[/tex] = 3 + (66 - 1) · (10)

[tex]a_{66}[/tex] = 653


Related Questions

Dans un repère du plan, on donne les points (−2 ; 3), (6 ; 2) (−1 ; 0).
1. Faire une figure
2. Conjecturer où l’on doit placer le point D pour que le quadrilatère ABDC soit un
parallélogramme.

Answers

Answer:

faut-il faire les ponits avec le pallergrom de (−2 ; 3), (6 ; 2) (−1 ; 0) ?

Step-by-step explanation:

What is the first step to solve the following equation:
n/8 = 7

Answers

To solve the equation, you need to get the variable by itself
To get rid of division, you multiply

First step: multiply 8
n = 56

Answer:

n = 56

Step-by-step explanation:

[tex]\frac{n}{8}[/tex] = 7

The first step is to multiply both sides by 8 to clear the fraction

n = 7 × 8 = 56

A reflection over the x axis moves the point (-2, 5) to which quadrant?
I
Hiiii!!! Can someone please help mee!! I will give you double points!!!

Answers

Answer:

II quadrant

Step-by-step explanation:

Looking at the drawing, you can determine that the point with

coordinates (-2 ; 5) is in the II quadrant

10, 18, 26, 34, 42, ...

Write the simplified formula (expression) for the given Arithmetic Sequence

Answers

Answer:

[tex]10 + (n - 1) 8[/tex]

Step-by-step explanation:

All arithmetic sequence can be written as:

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

Where [tex]a[/tex] is the [tex]n^{th}[/tex] term of the sequence, [tex]a_{1}[/tex] the first term of the sequence and [tex]d[/tex] the common difference between terms.  

So in our sequence we have [tex]a_{1} = 10[/tex] and for find the difference substract two sequence terms.

[tex]d = a_{n+1} - a_{n} = 18 - 10 = 8[/tex]

Now replace the knowns terms in the general form:

[tex]a_{n} = 10 + (n - 1)8[/tex]

The simplified formula for the given arithmetic sequence is:

a(n) = a + 8 (n - 1)

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

We have,

The common difference between any two consecutive terms in an arithmetic sequence is constant.

In this case, the common difference is 8, as each term is obtained by adding 8 to the previous term.

Let the first term of the sequence be 'a', then the second term is 'a + 8', the third term is 'a + 16', and so on.

Therefore, the nth term of the sequence can be expressed as:

a + (n-1)d

where d is a common difference, which is 8 in this case.

So, the simplified formula for the given arithmetic sequence is:

a(n) = a + 8 (n - 1)

where a is the first term of the sequence and n is the position of the term in the sequence.

Thus,

The simplified formula for the given arithmetic sequence is:

a(n) = a + 8 (n - 1)

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ2

pls help with these, at least up to finishing question 2 or Question 3b​

Answers

Answer:

For question 3b the answer is no because the common difference is 4

Step-by-step explanation:

6,10,14,18,22,26,30,34

It will be 34 not 33

You want to buy some noodles. A 6-ounce package costs $1.92. A 14-ounce package costs $4.62
A 20-ounce package costs $6.20. Which package is the best buy?



Answers

Answer:

The 20 ounce is the best package to buy.

Step-by-step explanation:

Divide the cost of the noodles by the ounces and you'll get your answers and then you have to pick the one with the least cost per noodles.

The 6 ounce costs .32 each

The 14 ounce costs .33 each

And the 20 ounce costs .31 each

Please help geometry question

Answers

Answer:

D) QR≅ST

The answer follows from basic AAS congruences

Answer:

line PQ≅line SU

Step-by-step explanation:

∆PQR       ∆UST

P corresponds to U

Q corresponds to S

R corresponds to T

line PQ to line US

line QR to line ST

line PR to line UT

Use the distributive property to remove the parentheses.

5(y-5)

Answers

Answer:

=5y-25

Step-by-step explanation:

5 times y would be 5y and 5 times -5 would be -25

Hi there- kinda confused on this

Answers


D) 5 is the answer

Assuming AE and CE are the same length you would set the two equations to each other: 8x+7=11x-8

Then solve for x:
Subtract 8x from both sides and add 8 to both sides looking like: 15=3x
Divide by 3 to get x by itself and you get x =5
Your work is literally on the internet

Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?

f(x) = 6x – 1
f(x) = 8x – 6
f(x) = 4x – 14
f(x) = 4x – 10

Answers

Answer:

483/798-5458+7429=19035674846 :))

Step-by-step explanation:

Write 2549 correct to the nearest 10​

Answers

Answer:

2550

Step-by-step explanation:

Which of the following could be the areas of
the three squares below?
A. 12 f12, 16 f12 and 28 f12
B. 8912, 16 pt2 and 24 P12
C. Both A and B
D. Neither A nor B

Answers

Answer:

A. 12 f12, 16 f12 and 28 f12

Step-by-step explanation:

The Pythagoras theorem states the addition of squares of the lengths of the two short sides of the right triangle is the same as the square of the length of the hypotenuse. Using the Pythagoras theorem, you may find the correct answer option A

Learn more: https://brainly.com/question/19528577

what is the difference of 23xand 9 x​

Answers

Answer:

14x

Step-by-step explanation:

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

Brian drove 638 miles in 11 hours.
At the same rate, how long would it take him to drive 754 miles?

Answers

Answer: 638 x= 754*11

638 x= 8294 then divide by both sides by 638

x = 13

she will drive 754 miles in 13 hrs.

Step-by-step explanation:

brainliest me

Sue has 45 shells in her shell collection. Jared, who just started his collection, has
5 shells. Sue’s collection is how many times larger than Jared’s? I need the equation: and answer

Answers

Answer:

9

step by step:

sue = 45 shells

Jared= 5 shells

therefore 45÷5 =9

Answer:

9 times bigger

Step-by-step explanation:

45/5= 9 times bigger

why?

because "how many times bigger (or larger)"

Sue has 45 shells

and Jared has 5 shells

divide them and u get the answer

Please help I will give brainless if correct: What are the coordinates of Q

Answers

Answer:

4,3

Step-by-step explanation:

The coordinates of Q are (4,3).

Answer:

(4,3)

Step-by-step explanation:

x-axis is 4 and y-axis is 3

ang Find any three rational numbers between 2 and 3​

Answers

Answer:

5/2, 9/4 and 19/7.

Step-by-step explanation:

Rational numbers can be written as a/b where a and b are integers ( b not = 0).

Can someone pls help me!

Ms. Failla decides that she wants to give a test on ratios and rates. The test consists of 18 questions. How much time must Mrs. Storz give to her students if she plans that the students can answer the questions at a rate of 3 questions in 7.5 minutes?

Answers

Answer:

Mrs. Storz must give 45 minutes

Step-by-step explanation:

Create a proportion:

t = total time given for all questions

[tex]\frac{3}{7.5} = \frac{18}{t}[/tex]

Cross multiply:

3t = 135

Divide both sides:

3t/3 = 135/3

t = 45

The selling price of an item is 720 it is marked down 30% but the sale price is still marked up from the cost of 420 find the mark up from the cost of the sale price

Answers

Answer:

$84

Step-by-step explanation:

720x30=21600

21600/100=216

216=markdown (as a number instead of a percentage)

Now subtract that like this

720-216=504

504= sale price

Then do this

504-420=84

Therefore it is $84

Hope you understand!

1,2
2,6
3,12
4, 20

Is the function Linear or Nonlinear, and explain why

Answers

Answer: Nonlinear

Explanation:

The variable x increases by 1 each time we move down the rows. This increase is constant or the same jump each time.

However, the variable y increases by different amounts. From y = 2 to y = 6, we have +4. Then from y = 6 to y = 12 is +6. This mismatch of increases is sufficient to prove we don't have a linear function. The function is nonlinear.

Visually, we can plot all of the points on the same xy grid. Notice that a straight line does not go through all four points. Rather, a parabola does, and the equation of the parabola is y = x^2+x which is the same as y = x(x+1).

Choose the steeper line,


y=2x+8
or

y=4x+2

Answers

Hello!

y=4x+2 is the steeper line. The bigger the slope, the steeper the line.

Hope it helps!

~Just a cheerful gal

#CarryOnLearning

Answered by

[tex]SilentNature[/tex]

Simplify each expression.
1.) 50 1/2 + (-12.3)
2.) -50 1/2 + (-12.3)
3.) -50 1/2 + 12.3

Please and thanks! (I'm horrible at my math)

Answers

Answer:

1.) 38.2

2.) -62.8

4.) -38.2

What is the sum of the 2nd cube number and the 1st cube number?

What is the sum of the 2nd cube number and the 1st cube number

Answers

The answer for the 1st question is 8
The answer for the second question is 8

Find the slope of the line that passes through (75, -83) and (-11, -85).

please I'm in soccer and our last game is Saturday I wont be able to play if I fail this report card so please answer as soon as possible. Please and Thank You.

Answers

Answer: ¹/₄₃

Step-by-step explanation:

Slope = (y₂ - y₁)  ÷  (x₂ - x₁)

          =  (-85 - (-83)) ÷  (-11 - 75)

          =  -2 ÷ -86

          = ¹/₄₃

Checking my answer:

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.

                               ⇒  y - (-83) =  ¹/₄₃ (x - 75)

                               ⇒     y + 83 =  ¹/₄₃ (x - 75)

 I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.

Which graph represents the following equation 2x - 4y = 12

Answers

I took screen shots of my work here you go!

(100,160), (500,680) in slope intercept form

Answers

Answer:

520/400

so y = 520/400 + b

Step-by-step explanation:

A researcher is following the growth of a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days.


g(n) = 10(1.02)n


What does the average rate of change of the function represent?


A.
the number of days flower grew

B.
the average height of the flower after 5 days

C.
the average growth of the flower from day 1 to day 5

D.
the average time it takes for the flower to grow from 1-5 inches

Answers

The expression given represents an exponential growth relation. The average rate of change is the average growth of the flower from day 1 to days 5

The rate of change of the flower can be deduced frommthe equation as :

1.02 - 1 = 0.02

Hence, the growth rate of the flower per day = 0.02

The number of days, n = 5

Therefore, the average growth rate is the average growth of the flower within the number of days given.

Learn more : https://brainly.com/question/25449918

Answer:

C

Step-by-step explanation:

I got it right

Evaluate the expression when x=−4/5 and y=1/3.

2x+6y

Answers

Answer:

2

--

5

Step-by-step explanation:

Start by multiplying 2 and -4/5 as fractions

2 -4 -8

------ x ------ = -------

1 5 5

Then multiply 6 and 1/3 as fractions

6 1 6 2

------ x ------ = ------- = -----

1 3 3 1

Lastly,add the two results after converting 2/1 to 10/5 to use the Greatest Common Factor so you can add.

-8 10 2

------- + ------ = -------

5 5 5

Round the quantity to th given place value 13.989 to the nearest tenth

Answers

Answer:

13.989 rounded to nearest tenth is 14.0.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

round

x-1=0 pls answer me I'll give u 10 points

Answers

Answer: x=1

Add 1 to both sides x-1=0 x-1+1=0+1

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