7. Identify the explicit formula for the sequence given by the recursive formula

7. Identify The Explicit Formula For The Sequence Given By The Recursive Formula

Answers

Answer 1

Answer:  B) f(n) = 30 - 8(n - 1)

Step-by-step explanation:

Explicit formula is of the form: [tex]a_n=a_1+d(n-1)[/tex]    where

[tex]a_1[/tex] is the first term d is the difference between consecutive terms

Given: f(1) = 30  --> this represents the first term [tex]a_1[/tex] = 30

          f(n - 1) - 8   --> this means the previous term minus 8 thus d = -8

[tex]a_n[/tex] = 30 + (-8)(n - 1)

    = 30 - 8(n - 1)

Answer 2

Answer:

B. f(n) = 30 – 8(n – 1)

Step-by-step explanation:

got it right on test


Related Questions

I need to change the subject to x

Answers

Answer:

h) (x+4t²)/4= 3V

x+4t²= 4*3V

x+4t²=12V

x=12V-4t²

MN=√(3x-2)

(MN)²=3x-2

3x-2=(MN)²

3x=(MN)²+2

x= [(MN)²+2]/3

On a number line, show all points whose coordinates satisfy the following inequalities: |x−20|<5

Answers

Answer:

On the number line integers from 16 to 24 is the answer.

Answer:

Step-by-step explanation:

Please answer ASAP, I will give you brainilest and 5 stars if you get it right and do it quick!!

Answers

4000 is what is said to me lol

Answer:

a) 3.2 cm

b) 6.25 km

Write the​ point-slope form of the line satisfying the given conditions. Then use the​ point-slope form of the equation to write the​ slope-intercept form of the equation.
Passing through ​(​4,​8) and ​(7​,14​)
Type the​ point-slope form of the equation of the line

Answers

Answer:

Step-by-step explanation:

(14 - 8)/(7 - 4)= 6/3= 2

y - 8 = 2(x - 14)

y - 8 = 2x - 28

y = 2x - 20

Find all values of k such that the graph of the inequality (x-2)(x-5)(x-k) >= 0 consists of a single interval on the number line.

Answers

(x - 2)(x - 5)(x - k) >= 0

Let's set each term equal to 0

x - 2= 0

Add 2 to both sides

x = 2.

x - 5 = 0

Add 5 to both sides

x = 5

x - k = 0

Add k to both sides

x = k

Since x = 2 and 5, k = 2, 5

Let's plug our numbers into the inequality.

(2 - 2)(2 - 5)(2 - 2) >= 0

(0)(-3)(0) >= 0

0>=0

(5 - 2)(5 - 5)(5 - 5) >= 0

(3)(0)(0) >= 0

0 >= 0

This proves that 2 and 5 are equal to k

what is nearest tenth of 0.273

Answers

Answer:

0.3

To round 0.273 to the nearest tenth consider the hundredths’ value of 0.273, which is 7 and equal or more than 5. Therefore, the tenths value of 0.273 increases by 1 to 3.

0.273 rounded to the nearest tenth = 0.3

what is the square root of 2/8 as a decimal

Answers

The square root is 0.5

I have a load of 5"- 8" cobblestones at $140/yd. and it will cover 65 square feet of ground. How many pounds am I getting and how much per pound am I paying?

Answers

Answer:  I just miss my dog ;(        

Step-by-step explanation:

is 1 (b+6) equivalent to (b+6)

Answers

Answer:

Yes.

Step-by-step explanation:

Step 1: Write out expressions

1(b + 6) = b + 6

Step 2: Distribute 1

b + 6 = b + 6

32 as a single power of 2​

Answers

Answer:

1024

Step-by-step explanation:

Answer:

1024

Step-by-step explanation:

I need help on 13&14

Answers

Answer:

[tex](\sqrt{3} + 6i)(\sqrt{3} - 6i)[/tex]

Simplifies to:

[tex]36i^2 + 3[/tex]

[tex]= 39[/tex]

Help!!to show your work!!

Answers

Y=-1/2x-7
Explanation:
-4y= 2x+28
Y=-1/2x-7

solve 9 = 4 + x ( show your work )

Answers

Answer:

x = 5

Step-by-step explanation:

1. 9 = 4 + x

2. 9 - 4 = 4 + x - 4

3. 5 = x

The quotient of 5 and a number, k ? Write the algebraic expression

Answers

Answer:

[tex] \frac{5}{k} [/tex]

Step-by-step explanation:

Quotient refers to the result we get when we divide a number by another number. In more precise words, the dividend (numerator) over the divisor (numerator) equals the quotient.

In this case, 5 is the dividend, k is the divisor, which is representing an unknown number.

We cannot get an actual number, but we can use algebraic expression to express the quotient as follows:

Quotient of 5 and k = [tex] \frac{5}{k} [/tex]

can I get an answer please ​

Answers

Answer:

the first one.

can ratios be thought of as fractions?

Answers

Yes
We can
Hence it’s true!
Totally it could be proper or improper fractions to

At a grocery store Daniel wants to buy 3 1/5 of ham. What decimal will be shown on a digital scale show? Write 3 1/5 as a fraction and then divide.

Answers

Answer:

3.2

Step-by-step explanation:

what is the difference between (5+3)x3 (5+3)x9

Answers

Answer:

If you were asking the difference as in subtraction then the answer is 18.

A manufacturer of bulbs for movie projectors finds that the lives of the bulbs are normally distributed with a mean of 61 hours and a standard deviation of 6.3 hours. The manufacturer will guarantee the bulbs so that only 3% will be replaced because of failure before the guaranteed number of hours. For how many hours should the bulbs be guaranteed?

Answers

Answer:

49.2 hours

Step-by-step explanation:

Use a chart or calculator to find the z-score associated with the probability.

P(Z < z) = 0.03

z = -1.88

Now find the x value.

z = (x − μ) / σ

-1.88 = (x − 61) / 6.3

x = 49.2

which is the perimeter of the triangle below?
ft
aft
foot
foot
O
1 foot
O 11
11
feet

Answers

Answer:

ft is premeter of triangle

The Math 123 book includes about 230 pages (not including the back parts of the book). If you aim to complete 65% of all the pages, how many should you finish?

Answers

Answer: 150 pages

Step-by-step explanation:

I usually just multiply the number by the percentage and it works out just fine :)

1) The smallest perfect square number 1 point
divisible by 5, 6 and 27 is

Answers

Answer:

[tex]8100[/tex], which is the square of [tex]90[/tex].

Step-by-step explanation:

Factor the three divisors into prime numbers:

[tex]5[/tex] is a prime number itself.[tex]6 = 2\times 3[/tex].[tex]27 = 3^3[/tex].

Any number divisible by these three divisors should include the following factors:

[tex]2[/tex],[tex]3^3[/tex], and [tex]5[/tex].

Note that all these three prime factors have an odd power ([tex]1[/tex], [tex]3[/tex], and [tex]1[/tex], respectively)

[tex]2[/tex] becomes [tex]2^2[/tex] (add [tex]1[/tex] to the initial power of [tex]1[/tex] to obtain [tex]2[/tex].)[tex]3^3[/tex] becomes [tex]3^4[/tex].[tex]5[/tex] becomes [tex]5^2[/tex].

The product of these three factors would be:

[tex]2^2 \times 3^4 \times 5^2 = 8100[/tex].

Indeed, [tex]8100[/tex] is divisible by all these three divisors. At the same time, because all the powers of its prime factors are even,

[tex]8100 = (2 \times 3^2 \times 5)^2 = 90^2[/tex].

Answer:

8100 is the smallest perfect square divisible by 5,6 and 27

Step-by-step explanation:

5 = 5 * 1

6 = 2 * 3

27 = 3 * 3 *3

5 * 6 * 27 = 2 * 3 * 3 * 3 * 3 * 5

Factors of perfect square will be perfect squares

To make this a perfect, multiply by 5 * 2

Perfect square = 5 * 6 * 27 * 5 * 2

                        = 8100

distribute the money £423 in the ratio 1 : 2 : 3

Answers

Answer:

see below

Step-by-step explanation:

will make short and  simple

$423 in the ratio 1 : 2 : 3

420 / 6 = 70

1 * 70 = 70

2 * 70 = 140

3 * 70 = 210

Arturo’s gym membership costs $100 per year plus $20 per month. Which equation represents this relationship?

Answers

Answer:

$100+$20=$120

What does it mean for a function to have a root?

Answers

Answer:

Step-by-step explanation:

A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .

Answer:

A function has a root when it crosses the x-axis, i.e. . A function can have more than one root, when there are multiple values for that satisfy this condition. The goal is to find all roots of the function (all values). In general we take the function definition and set to zero and solve the equation for .

at home any hours of service do repair service s cost the same which equation could you use to solve​

Answers

Answer:

how many hours times repair service

Step-by-step explanation:

Arian is making bracelets. For each bracelet, it takes 1/10 of hour to pick out materials and 1/4 hour to braid it together. How many bracelets can Arian make in 5 hours?



I know this is easy math but I couldn't understand a thing my math teacher was talking about when we learned this.​

Answers

Change everything into 10ths as follows:

1/10 + 2.5/10 = 3.5/10 of an hour to make one bracelet. Then change to 20ths so the numerator is a whole number.
Divide your time available by the time it takes to make one.

21
4 = 420= 15 bracelets
7 28
20

(as a whole number there was no fraction or remainder to round off)

In 5 hours Arian can make 14 Bracelets.

What is unitary method ?

Unitary method is first obtaining the value of a single unit and then deriving any given unit given.

According to the given question Arian is making bracelets.

It takes 1/10 of hour to pick out materials and 1/4 hour to braid it together.

∴ To completely make a bracelet it will take ( 1/10 + 1/4 ) hours which is

= 7/20 hours OR (7/20)×60 minutes = 21 minutes.

5 hours is = 5×60 = 300 minutes.

So, in 21 minutes he makes 1 bracelet.

In 300 minutes he can make  (300/21) Bracelets which is

= 14.28 Bracelets.

learn more unitary method here :

https://brainly.com/question/21648365

#SPJ2

Please help and do these asap no fake stuff please. Click on the paperclip to see problems

Answers

sorry, it's too blurry for me

Answer:

20 because that what I think

Find an equation for the line with the given properties.
Parallel to the line 2x - y = - 4; containing the point (0,0)
y = 2x (Type your answer in slope-intercept form.)

Answers

Answer:

y = 2x

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

2x - y = -4

-y = -2x - 4

y = 2x + 4

Since the 2 lines are parallel, they have the same slope.

Step 2: Define variables

Slope m = 2

Origin (x-int and y-int) (0, 0)

Step 3: Write parallel linear equation

y = 2x + 0

y = 2x

Let A (10, 11, 12, 13 and B (a, b, c, d) Let g be a function from A to B defined by f(10, a), (11,a), (12, b), (13,b)) What is the inverse image of d?

Answers

Answer:

d does not have an inverse image

Step-by-step explanation:

From the question we are told that

    The  first set is    A (10, 11, 12, 13 )

     The  second set is     B (a, b, c, d)

      The function that from A to B is  f(10, a), (11,a), (12, b), (13,b))

Generally for a function defined by (x,y), y is the image of x while x is the inverse image  of  y

Now considering the function we are given and the value d we see that and inverse image is not defined for d in the function

hence d does not have an inverse image  

       

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