An arithmetic sequence has this recursive formula:
a1=9
an=an-1 -3
What is the explicit formula for this sequence?
A. an=9+(n-1)(-3)
B. an=-3+(n-1)9
C. an=9+(n-3)(-1)
D. an=-1+(n-9)(-3)

Answers

Answer 1

Answer:

The correct answer is:

Option A. a_n=9+(n-1)(-3)

Step-by-step explanation:

Given that

a1 = 9

[tex]a_n = a_{n-1}-3[/tex]

We can see that in recursive formula the next term is being obtained by subtracting 3 from previous term

That means that the common difference is -3

We also know the first term

The general form of explicit formula for an arithmetic sequence is:

[tex]a_n = a_1 + (n-1)(d)[/tex]

We know that a1 = 9 and d = -3

Putting the values we get

[tex]a_n = 9+(n-1)(-3)[/tex]

Hence the correct answer is:

Option A. a_n=9+(n-1)(-3)


Related Questions

can someone help me out here pls?
how much butter is needed to make a cake for 10 people
ingredients for 4 person cake
'80g plain flour'
'60g almonds'
'90g brown sugar'
'60g butter'

Answers

150g bc 60/4 = 15, 15 x 10 = 150g (PLS MARK AS BRAINLIEST) :))

five more than two-thirds of a number is 12 . what is the number ?

Answers

Answer:

[tex]x=7\frac{3}{2}[/tex]

Step-by-step explanation:

Suppose the number is x

[tex]\frac{2}{3}x+5=12[/tex]

[tex]\frac{2}{3}x=12-5[/tex]

[tex]x=7\frac{3}{2}[/tex]

please help me with this urgent!!!!!

Answers

What grade u in 10th or Higher or lower

The area of this rectangle is 10cm2, find the value of x and use it to find the length and the width of the rectangle.
If the length of a rectangle is three time the width and it’s perimeter is 24 cm, what is its area?

Answers

Answer:

The area of this rectangle is 10cm2, find the value of x and use it to find the length and the width of the rectangle.

If the length of a rectangle is three time the width and it’s perimeter is 24 cm, what is its area?

Length and width of the rectangle are 4 cm and 2.5 cm respectively.

Given in the picture,

A rectangle with the area of 10 cm².Expressions representing the lengths of the rectangle as

        (4x + 2) cm and (10x - 1) cm

By the property of a rectangle, measure of opposite sides of a rectangle are always equal,

(4x + 2) = (10x - 1)

(4x + 2) - 4x = (10x - 1) - 4x

2 = 6x - 1

2 + 1 = (6x - 1) + 1

3 = 6x

[tex]x=\frac{3}{6}=\frac{1}{2}[/tex]

Now we can get the length of the given rectangle by substituting the value of 'x' in (10x - 1) or (4x + 2).

(10x - 1) = [tex]\frac{10}{2}-1[/tex]

            = 4 cm

Since, area of a rectangle is given by the expression,

Area = Length × width

By substituting the values in the expression,

10 = 4 × width

Width = [tex]\frac{10}{4}[/tex]

           = 2.5 cm

        Therefore, length and width of the rectangle are 4 cm and 2.5 cm respectively.

Learn more,

https://brainly.com/question/12984721

DOES ANYONE KNOW WHAT THE CORRDINTS ARE??!!

Answers

Answer:

-7 and -5

Step-by-step explanation:

It is where the parabola intercepts the x axis which is -7 and -5

Answer:
(-7,-5)
Yeah that’s what I think

Consider these dilations. 1. Large triangle right-arrow smaller triangle. 2. Small square right-arrow large square. 3. Line segment right-arrow identical line segment. Which best describes the scale factor for each dilation? Dilation 1 has a scale factor . Dilation 2 has a scale factor . Dilation 3 has a scale factor .

Answers

Answer:

Dilation 1 has a scale factor

✔ between 0 and 1

.

Dilation 2 has a scale factor

✔ greater than 1

.

Dilation 3 has a scale factor

✔ equal to 1

.

Step-by-step explanation:

i got it right on edge

Answer: 1.(between 0 and 1)   2.(greater than 1)  3.(equal to 1)

Step-by-step explanation: i hope this helps!

last question for the day

Answers

Answer:

a

Step-by-step explanation:

Type the missing number in this sequence:

1, 2, 5, 10, , 26, 37, 50

Answers

Step by step explanation:

Cocoa owes three of her friends $4.60 each. How much money does cocoa owe in total?

Answers

Answer: $13.80

Step-by-step explanation: Just multiple $4.60 times 3! Good luck! :D

Soos is spending money at an average rate of $5 per day. After 9 days, he has $25 left.


How much money did Soos have at the beginning (on day 0)?

y - 5= 9(x - 25)

Answers

Answer:

$70

Step-by-step explanation:

According to the problem, calculation of given data are as follows:

Spending money at rate = $5 per day

After 9 days money left = $25

We can calculate the money on day 0 by using following formula,

y = mx + b

Here, y = money left after 9 days

m = rate of spending money

x = number of days

b = money on day 0

So, by putting value, we get

$25 = (-5 × 9 ) + b

b = $25 + $45

= $70


Divide these fractions
2/3 = 3/4

Answers

Answer:

8/9

Step-by-step explanation:

I'm pretty sure after you make it a reciprocal you multiply it

Sebastian bought snacks for his team's practice. He bought a bag of popcorn for $1.68

and a 15-pack of juice bottles. The total cost before tax was $21.78. Write and solve an

equation which can be used to determine x, how much each bottle of juice costs?

Answers

Answer:

$1.34

Step-by-step explanation:

He bought a bag of popcorn for $1.68 and a 15-pack of juice bottles.

The total cost before tax was $21.78.

Let the number of juice bottles = x

Hence, our Equation is given as:

$1.68 + 15 × x = $21.78

$1.68 + 15x = $21.78

Collect like terms

15x = $21.78 - $1.68

15x = $20.1

x = $20.1/15

x = $1.34

Therefore, the cost for each bottle of juice = $1.34

Given that DE, DF, and FE are the lengths of mid-segments, what is the perimeter of the triangle ABC?A)23B)32C)46D)69

Answers

Answer: 46

Step-by-step explanation:

Help ASAP this math is really hard to me im trusting yall

Answers

Answer:

it should be c

Step-by-step explanation:

Answer:

The anser is C

Step-by-step explanation:

both are equal to 12

114 points on the coordinate plane below which point would lie on both the X axis and the Y axis?

Answers

Answer:

(0, 0 )

Step-by-step explanation:

The point at the origin, where the x and y axes meet is on both

The coordinates of the origin are (0, 0 )

5x−4y=34
−x+8y=22
elimination

Answers

Answer:

The solution to the system of equations is:

[tex]x=10,\:y=4[/tex]

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}5x-4y=34\\ -x+8y=22\end{bmatrix}[/tex]

Multiply -x+8y=22 by 5:  -5x+40y=110

[tex]\begin{bmatrix}5x-4y=34\\ -5x+40y=110\end{bmatrix}[/tex]

so adding the equations

[tex]-5x+40y=110[/tex]

[tex]+[/tex]

[tex]\underline{5x-4y=34}[/tex]

[tex]36y=144[/tex]

solve 36y = 144 for y:

[tex]36y=144[/tex]

divide both sides by 36

[tex]\frac{36y}{36}=\frac{144}{36}[/tex]

Simplify

[tex]y=4[/tex]

For 5x-4y=34 plug in y=4

[tex]5x-4\cdot \:4=34[/tex]

[tex]5x-16=34[/tex]

Add 16 to both sides

[tex]5x-16+16=34+16[/tex]

Simplify

[tex]5x=50[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}=\frac{50}{5}[/tex]

Simplify

[tex]x=10[/tex]

Therefore, the solution to the system of equations is:

[tex]x=10,\:y=4[/tex]

Please help due in 5 minutes

Answers

Answer:

the first one belongs to 1 and the second one belongs to 2

Step-by-step explanation:

2/5 of the 45 oranges fell out of the tree. how many oranges fell out of the tree?

Answers

Answer:

18 oranges

Step-by-step explanation:

To find this, we have to calculate 2/5 * 45, which is equal to 45 * 2 and then divided by 5 (Or you could cross cancel). 45 * 2 is equal to 90 and 90/5 is equal to 18. That means that 18 oranges fell out of the tree.

Eric is told by his doctor that he needs to lose 15 pounds. If Eric now weights 285 pounds,then by what percentage should Eric weight decrease?

Answers

Answer:

5.26%

Step-by-step explanation:

15/285=x/100. 15 is the amount of weight he wants to lose. x=5.26%

600×4 what is it hhhhhhhhhhhh

Answers

Answer:

2400

Step-by-step explanation:

Find the value of x.
110°
X + 116

Answers

xterm correct answer is =11

I need this really fast in like 2 min

2 + 5x – 3 – 2 + 4x = 15

Answers

Answer: x=2

Step-by-step explanation:

Simplifying Radicals pls help with full calc

Answers

Answer:

√98=√2×7×7=7√2

√16b^5=√4×4×b×b×b×b×b=4b²√b

√26x2=√13×2×2=2√13

hope it helps.


Haven earned $165 working as a babysitter. When she goes back to school, she needs more than $192 to buy a new coat How
much must she eam before returning to school? Write and solve an inequality to represent this scenario.

Answers

Answer:

$27

Step-by-step explanation:

These figures are similar. What is the length of the missing side, x?

Answers

Answer:

5 ft

Step-by-step explanation:

the smaller one is 1/3 of the size of the bigger one

I have no words... thank y’all so much!!❤️❤️✨✨

Answers

Answer:

The first one.

Step-by-step explanation:

0 is greater than -18

Steve prepreformed the chemistry experiment in which divided 5/8 of a box of baking soda evenly among the five bottles he then added vinegar and water teach volatile to make them bubble up like volcanoes how much baking soda do you put in each bottle

Answers

Answer:

[tex]\mathbf{ \dfrac{1}{8} \ box}[/tex]

Step-by-step explanation:

Given that:

Steve divided 5/8 of a box evenly among 5 bottles. To determine the amount of baking soda added;

Then, mathematically:

[tex]=\dfrac{5}{8} \ box \div 5[/tex]

[tex]= \dfrac{5}{8} \ box \times \dfrac{1}{5}[/tex]

[tex]\mathbf{= \dfrac{1}{8} \ box}[/tex]

The height of a door is about?

A) 5 Feet
B) 7 Feet
C) 16 Feet
D) 12 Inches
E) 36 Inches

Answers

Answer:

B

Step-by-step explanation:

:0 : )

PLEASE HELP! ITS DUE TODAY!!!

Answers

Answer:

Step-by-step explanation:

1.24 * 0.15 = 0.0186

As you can see, the numbers are the same, but the order of the decimal is different.

Since the order of the decimal is different, so will the answer.

1,860 and 0.0186 do have the same numbers in them, but since the decimal is located in different spots, then the answer will be different with different values.

You might not see the decimal in 1,860, but it is after the 0.....

1,860.0 ( same thing just added a decimal, but it is the same value)

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Marie joined a book club. She had to pay a one time registration fee of 80.00 and then 3.00 per book.How much did it cost her to buy 15 books

Answers

Answer:

It cost her this much = 3×15 = 45

Answer:

It cost her 45 dollars to buy 15 books

Step-by-step explanation:

80+ 3(15)=?

80 First time registration fee + 45 dollars to buy 15 books

Other Questions
April, May and June have 90 sweets between them. May has three-quarters of the number of sweets that June has.April has two-thirds of the number of sweets that May has. How many sweets does June have?help Patrick needs 3 4 cup of orange juice for a punch recipe. He has a measuring cup that is 1 8 cup how can Patrick use the 1 8 cup to measure the orange juice he needs for the recipe What is it called when you must give something up in order to get something else? How did Roosevelt's many New Dealprograms show his courage as a leader? Can you help me? Please Adriana and Belen are partners who share income in the ratio of 3:2 and have capital balances of $50,000 and $90,000 at the time they decide to terminate the partnership. After all noncash assets are sold and all liabilities are paid, there is a cash balance of $90,000. How much cash should be distributed to Adriana Which of the following is a true statement about wind erosion?Most wind erosion happens in the Arctic.Most wind erosion happens in deserts, beaches, and plowed fields.O Most wind erosion happens only on top of mountains.Most wind erosion happens in areas with tropical climate. What was a Roman century PLEASEEEEE I BEG UU ??????????????????????????????????? state of the polygons are similar A physics student spends part of her day walking between classes or for recreation, during which time she expends energy at an average rate of 280 W. The remainder of the day she is sitting in class, studying or resting; during these activities, she expends energy at a rate of 100 W. If she expends a total of 1.1 x 10^7 J of energy in a 24 hour day, how much of the day did she spend walking Tafu is working with subatomic particles in the physics lab. a positron is traveling in a straight line down the particle accelerator. tafu models its position with the function p(t)= t2 t 1 where t>1. in the limit calculations below, if you need to use - or , enter -infinity or infinity. (a) calculate the limit Plz help me i really need help A bag contains 12 red marbles, 10 green ones, 2 yellow ones, 19 blue ones, & 9 purple marbles. What is the probability of pulling out a green marble? Which one is closer to 1 whole , 1 1/4 , 1 1/12 , 1 5/12 ? explain The sum of - 7/9 and 11/18 is _____ 5. The author uses the phrase "the Promised Land" to describe how California appeared to the Dust Bowl migrants. Explain what this phrase reveals about the problems and hopes of the migrants. Use at least ONE detail from the text to support your response. * A ball is thrown into the air. It reaches height h in feet based on the model h=65t-16t2 where t is time in seconds. Use the discriminant. Will the ball reach 50ft? 70 feet? Explain. S2- has the same electron configuration as which neutral element?