Write recursive and explicit formula for the arithmetic sequence 10, 40, 70,100,130

Answers

Answer 1

in the sequence we can see that we arrive at the next term by simply adding 30 to the current one, thus

[tex]\stackrel{\textit{Explicit, only requiring argument susbtitution}}{f(n)~~ = ~~n + 30}~\hfill \stackrel{\textit{Recursive, requiring ordinal position}}{f(a)~~ = ~~ a_{n-1}+30}[/tex]


Related Questions

The triangle is to be reduced by a ratio of 1:2.
a

Answers

Answer:

where is the triangle?

Step-by-step explanation:

I need to know the answer

Answers

Answer:

2 x 6 = 12

6 x 2 = 12

12 ÷ 6 = 2

12 ÷ 2 = 6

Step-by-step explanation:

What is the mean absolute deviation of 6, 8, 2, 2?

Answers

Answer:

18/4 Is it correct?

Step-by-step explanation:

4.25

Add them all up
6 + 8 + 2 + 2 = 18
Divide by how many numbers there are
18/4 = 4.5
The mean absolute deviation is 4.5

GIVING BRAINEST IF RIGHT!!

Factor x^4 - 12x squared + 36

Answers

Answer:

(x^2-6)^2

Step-by-step explanation:

Answer:

(x2-6)^2

Step-by-step explanation:

I think that's the answer not sure

Line /1 and line /2 are parallel lines. Determine the measures of <1 though <12

Answers

Answer:

1=56⁰

2=56⁰

3=68⁰

4=68⁰

5=56⁰

6=112⁰

7=180-124 Ans=56⁰

8=68+56 Ans=124⁰

9=68⁰

10=112⁰

11=124⁰

12=56⁰

Lauren is at a friend's home that is several miles from her home. She starts walking at a constant rate in a straight line toward her home. The expression −2t + 10 gives the distance, in miles, that Lauren is from her home after t hours. Answer the following questions using the information above.

a. How many miles away from her house did Lauren start?
b. How fast is Lauren moving towards her house?
c. Why is the rate negative?
d. How far away from her house is Lauren after 4 hours?

Answers

a.

Lauren was 10 miles away from her house when he started.

Since the expression for Lauren's distance from her house, d = -2t + 10, to determine the number of miles away from his house that Lauren starts, we input t = 0, since this is the time Lauren starts walking.

So, with t = 0, d = -2t + 10

= -2(0) + 10

= 0 + 10

= 10 miles.

So, Lauren was 10 miles away from her house when he started.

b.

Lauren was moving at a rate of -2 mph towards her house.

To find how fast Lauren was moving towards her house, we differentiate d with respect to t.

So, dd/dt = d(-2t + 10)/dt

= d(-2t)/dt + d(10)/dt

= -2 + 0

= -2 mph

So, Lauren was moving at a rate of -2 mph towards her house.

c.

The rate is negative because her distance towards her house is decreasing

The rate is negative because her distance towards her house is decreasing since she is moving towards her house.

d.

Lauren is 2 miles away from her house after 4 hours

To find this, we input t = 4 into the equation for d.

So, d = -2t + 10

= -2(4) + 10

= -8 + 10

= 2 miles.

So, Lauren is 2 miles away from her house after 4 hours

Learn more about distance travelled here:

https://brainly.com/question/17997145

Your neighbour has two children. You learn that he has a son, Samuel. What is the probability that Samuel's sibling is a brother?

Answers

Answer: 50%

Step-by-step explanation:

If the neighbor has 2 children and one is a male out of 100% it would just be 100% divided by 2 i think im not sure but i hope this helps

-
4. 3x² - 2x - 1 = 0

Answers

If you’re solving for x
x = -1/3 or x = 1

. Bobignment In what year was the LAWMA Established-​

Answers

1977. All that took was a 3 second search...

so, she was making $9/hr, then she's da bomb so she got a raise of 150%.


making 150% over that amount means more than that amount, so her raise was 150%, congrats to Maria.


if we take 9 to be the 100%, then adding 150% to that will be 100% + 150% = 250%.

Answers

The amount of money Maria now makes per hour = $22.5

These signs give information about two different towns.
Study these signs carefully. Then, answer the questions and complete the statements
about them below.
Use the drop-down menus to complete each statement.

Answers

Answer:

In which town does the total number have meaning?

Answer: Town B

For Town A, it does not, cannot, does not.

For Town B, does, can, does.

Can anyone please help??

Determine whether the inverse of F(c) is a function

Answers

Yes it is because it passes the vertical line test.

In a class of 25 students, 15 are female and 16 have an A in the
class. There are 12 students who are female and have an A in the
class. What is the probability that a student has an A given that
а
the student is female?

Answers

Answer:  4/5

Work Shown:

m = number of girls who have an A = 12

n = number of girls in the class = 15

probability = m/n = 12/15 = (3*4)/(3*5) = 4/5

60% of students at a high school participate in club activities. Rewrite this percent as a fraction in simplest form

Answers

Step-by-step explanation:

............no.................

The length of a rectangle sign is 3 times it’s width, if the signs perimeter is 16 inches, what is the signs area

Answers

Answer: 12 in
Width: 2in
Length: 2 x 3 = 6in
Perimeter: 6+6+2+2= 16in

Which graph does NOT represent a function?

Answers

Answer:

The circle graph does not represent a function because it doesn't pass the vertical line test.

Step-by-step explanation:

Estimate the limit 1/x+2-1/4/x-1

Answers

Answer:

Step-by-step explanation:

Begin by finding a common denominator in the numerator of that rational expression. The common denominator is 3(x+2):

[tex]\frac{\frac{(3)1}{(3)x+2} -\frac{(x+2)1}{3(x+2)} }{x-1}[/tex] which simplifies to

[tex]\frac{\frac{3}{3x+6} -\frac{(x+2)}{3x+6} }{x-1}[/tex] which simplifies further to

[tex]\frac{\frac{3-x-2}{3x+6} }{x-1}[/tex] and

[tex]\frac{\frac{1-x}{3x+6} }{x-1}[/tex]  Bring up the lower fraction and flip it and multiply:

[tex]\frac{1-x}{3x+6}*\frac{1}{x-1}[/tex]  In order to make the 1-x into x-1, multiply the numerator of that fraction on the left by -1 to get:

[tex]-\frac{x-1}{(3x+6)(x-1)}[/tex] and now the x-1 terms cancel out, leaving us with:

[tex]-\frac{1}{3(1)+6}=-\frac{1}{9}=-.1111[/tex]


The mean of 11 numbers is 49. Removing one of the numbers causes the mean to decrease to 45. What number was removed?

Answers

Answer:

89

Step-by-step explanation:

The mean:

[tex]\overline{x}=\dfrac{a_1+a_2+a_3+...+a_n}{n}[/tex]

We have:

[tex]\overline{x}=49;\ n=11[/tex]

Then we have

[tex]\dfrac{11\cdot49}{11}=49[/tex]

[tex]n[/tex] - the number

new mean is equal 45.

Therefore we have the equation:

[tex]\dfrac{11\cdot49-n}{11-1}=45\\\\\dfrac{539-n}{10}=45\qquad|\text{multiply both sides by 10}\\\\539-n=450\qquad|\text{subtact 539 from both sides}\\\\-n=-89\qquad|\text{change the signs}\\\\n=89[/tex]

Step-by-step explanation:

(x1 + x2 + ... + x11)/11 = 49

x1 + x2 + ... + x11= 49×11 = 539

(x1 + x2 + ... + x10)/10 = 45

x1 + x2 + ... + x10 = 45×10 = 450

so, the difference in both sums is

539 - 450 = 89

89 was the removed number.

Two cities are 5 3/4 inches apart on a map. The map scale says that 1/2 inch= 10 miles. How many miles
apart are two cities?

Answers

Answer:

900 Miles

Step-by-step explanation:

Since 1 inch = 200 miles, then ....

    4.5 inches * (200 miles / 1 inch) = (4.5 inches * 200 miles) / (1 inch) = 900 miles

OR

    1 / 200 : 4.5 / m     ==>     1 * 4.5 / 200 * 4.5 = 4.5 / 900    ==>    m = 900

Thus, the actual distance between the two cities is 900 miles.

help pls anyone? pls​

Answers

Now girl or boy … you don’t own a calculator? That’s easy !

Zack buys some potatoes from a store. The potatoes cost $7.68 for 3 pounds. He wants to buy more vegetables, but at the same price per pound as the potatoes. Which of the following vegetables could Zack buy?

Answers

Answer:

23.04 i think pls mark brainliest

Step-by-step explanation:

7. Karen opened a savings account with $500. The money earns 0.2% interest per month. If she does not make any withdraws or any more deposits, approximately how much money will Karen have in the account after two years?

(North Carolina Math 2)

A. $502 B. $512 C. $515 D. $525

Answers

Answer:

The answer is A

Step-by-step explanation:

0.2% of 500 is 1 so in two year she would have 502$

The answer would be A. 502

Compare the expressions 7+3^2-2⋅5 and (3/4+1/8)÷1/8 using , =, or . Show your work. Answer:

Answers

[tex]A=7+3^2 -2 \cdot 5 = 7 + 9 - 10 = 9-3=6\\\\\\B = \left(\dfrac 34 + \dfrac 18\right) \div \dfrac 18 = \dfrac 78 \times 8 =7\\\\\\B>A[/tex]

The expression relation is 7+3²-2⋅5 > (3/4+1/8)÷1/8.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

First, 7+3²-2⋅5

Solving the above expression

= 7 + 9 -2.5

= 16 - 2.5

= 13.5

Second,

(3/4+1/8)÷1/8

= (6/8 + 1/8) ÷ 1/8

= 7/8 ÷ 1/8

= 7/8 x 8/1

= 7

Hence, 7+3²-2⋅5 > (3/4+1/8)÷1/8.

Learn more about Inequality here:

https://brainly.com/question/30231190

#SPJ2

What is the expanded form of 14.702

Answers

Answer:

The expanded form for 14.702 is

fourteen and seven hundred two thousandths

Help pls will give brainlist

Answers

Answer:

should be c

Step-by-step explanation:

Answer:

B) is the answer I hope I could help

There are 29 cars in a race. How many different ways can the cars finish in order in the top 4 positions?

Answers

Answer:

N=29.28.27=29484

(sorry if this didn't help)

Step-by-step explanation:

Is there anyone that can please help me out with this question as soon as possible?

Answers

Answer:

1. -3 × Equation [A1] --> Equation [B1]

2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]

Step-by-step explanation:

There isn't a very elegant way to do this, you just need to brute force it a little and see which options are completely unreasonable and can be skipped. This is what I managed to figure out:

1. -3 × Equation [A1] --> Equation [B1]

6x × -3 = -18x

-7y × -3 = 21y

14 × -3 = -42

2. 7 × Equation [B2] + Equation [B1] --> Equation [C1]

(4x × 7) + -18x = 28x - 18x = 10x

(-3y × 7) + 21y = -21y + 21y = 0y

(-4 × 7) + -42 = -28 - 42 = -70

I can try to explain more about how I got those if you want, but like I said, there isn't much of a method to it other than trial and error.

reposting this again because the first time didn’t work (please help!)

Answers

Answer:

I still can't open the file or I can't see it

Step-by-step explanation:

please help me with this and thank's ​

Answers

Answer:

Step-by-step explanation:

2 3. 5. + = 3 5. 8. + = 5 8. 13. + = Worked Example 1. The sequence of square numbers is. 1, 4, 9, 16, 25, 36, . . . Explain how to obtain the next number ...

The length of one of the sides of a triangle is equal to 1m, the measurement of adjacent angles are 30º and 45º. What are the lengths of the other sides of this triangle?

Answers

Thr length of one of the sides of a triangle is equal to 1m, the mesurement of adjacent....... 45, 30 is lengths of the both side triangle.

THANK YOU

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