Write an explicit formula for the recursive formula

A(n) = A(n - 1) + 3; A(1) = 6

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 3n + 3

Step-by-step explanation:

The sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

From the recursive formula

a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then

[tex]a_{n}[/tex] = 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3


Related Questions

Please lmk, thank you.

Answers

Answer:

True

Step-by-step explanation: I gotchu friend

At the end of June, the rainfall for the year, so far, was 9.9 inches above normal. During the second half of the year, it rained 3.38 inches below normal. What amount of rainfall fell above or below normal for the entire year! Pls hurry! Will mark brainliest.

Answers

Answer:the 3.38 answer

Step-by-step explanation:

A construction worker measures the amount of cement in a cement truck every 5 minutes as it empties. The table shows the data What is the rate of change for the volume of cement in the truck?
the rate of change of the amount of cement is:

Answers

Answer:

35

Step-by-step explanation:

210 - 175 = 35

175 - 140 = 35

140 - 105 = 35

105 - 70 = 35

I hope this helps!

9. Using a twenty sided number cube, what is the probability that you will roll an even number or
an odd prime number? The number 1 isn't an odd prime. Round to three decimals.
(1 point)

Answers

Answer:

0.85

Step-by-step explanation:

total samples cases = 20

chances that are even or odd prime are 17 chances

2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20

probability = 17/20

= 0.85

What are the variables in the equation 2x - 10 + 5y?

Answers

A variable is a letter, usually in an equation or expression, that represents a number. In this expression, x and y are the variables.

Which term of the arithmetic sequence 1, 5, 9, 13, ... is 169?
It is the
th term.

Answers

Answer:

43rd term

Step-by-step explanation:

Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.

So, (169-1)/4=42.

This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!

Can some one help me with this simple project GIVING EXTRA BRAINLIST!!!!

Answers

Okay,

Im not going to do the project because you draw that but, ill give an online overview of ur "project."

Write the equation of the line in fully simplified slope-intercept form. ​

Answers

Answer:

 y = 4/3x - 3

Step-by-step explanation:

1. Find two pints on the line: ((3,1) and (6, 5).

2. Find the slope: Slope = (change in y-values)/(change in the x-values).

   Slope = (5 - 1)/(6 - 3) = 4/3

3. Use the slope and one point and substitute into y = mx + b to solve for "b"

     y = mx + b                 slope = 4/3   and point (3, 1)

      1 = 4/3(3) + b              4/3 · 3/1 =  12/3 = 4

      1 = 4 + b

      1 - 4 = b

       -3 = b

4.  Write the equation of the line: m = 4/3 and b = -3  Substitute into y = mx + b

      y = 4/3x - 3

A savings account increases from ​150$ to ​153$. What is the percent increase of the savings​ account?

Answers

Answer:

The correct answer would be 2.00%

Ab= 14
Co=8
OD=3
Find ob

Answers

OB be x

[tex]\\ \sf\longmapsto AO\times OB=CO\times OD[/tex]

[tex]\\ \sf\longmapsto (14-x)x=8(3)[/tex]

[tex]\\ \sf\longmapsto 14x-x^2=24[/tex]

[tex]\\ \sf\longmapsto x^2-14x+24=0[/tex]

[tex]\\ \sf\longmapsto x^2-12x-2x+24=0[/tex]

[tex]\\ \sf\longmapsto x(x-12)-2(x-12)=0[/tex]

[tex]\\ \sf\longmapsto (x-2)(x-12)=0[/tex]

[tex]\\ \sf\longmapsto x=2\:or\:x=12[/tex]

Need help will give brainliest!!

Answers

Answer:

Step-by-step explanation:

zoom factor=1/2

new dimensions=11/2,16/2

or 5.5 ,8

If you need to cut 5 pieces of fabric a 14 feet length, how long should each piece be?

Answers

Divide 14 and 5 to get 2.8

Answer:

I think by mental math it would be 2.8 feet.

Step-by-step explanation:

Can someone help me with this​

Answers

Answer:

1. so the express of the shaded region would be

10x*6 which gives 60x the area of the whole thing subtract 2x*4 =8x

so 60x-8x

2.

the perimeter is 6*2 bc two sides so 12

and 10x *2 bc two sides 20

so 20x+12 would be the perimeter

Evaluate the formula t=
x−μ
s
n when μ=117​, n=28​, x=113​, and

Answers

Answer:   -1.924

Work Shown:

[tex]t = \frac{\overline{x}-\mu}{\frac{s}{\sqrt{n}}}\\\\t = \frac{113-117}{\frac{11}{\sqrt{28}}}\\\\t \approx \frac{-4}{\frac{11}{5.291503}}\\\\t \approx \frac{-4}{2.078804}\\\\t \approx -1.924183\\\\t \approx -1.924\\\\[/tex]

In the intermediate steps, I rounded to 6 decimal places. The final answer is rounded to 3 decimal places (to the nearest thousandth).

Please man, I need this answer as fast as possible. Thank You!!!!

Answers

Answer:

-5f

and

2g

Step-by-step explanation:

A simple random sample of 40 salaries of NCAA football coaches has a mean of $415,953. Assume that σ = $463,364. Construct a 95% confidence interval estimate of the mean salary of an NCAA football coach.

$346,352 < μ < $485,554

$295,433 < μ < $536,473

$272,355 < μ < $559,551

$415,952 < μ < $415,954

Answers

Answer:

ci = [271,953 , 559,953]

Step-by-step explanation:

x = mean: $415953

z = 95% : z value of 95% is 1.960

s = standard deviation = $463364

n = number of observations: 40

X +- Z * S/sqrt N

415953 + - 1.96 * 463364/sqrt40

= 415953 + - 144000

[271,953 , 559,953]

Answer:

$272,355 <μ< $559,551

Step-by-step explanation:

Gradpoint

Identify one point and the slope from the equation y + 4 = 1/3(x - 1)
A. m = 4 Point = (1/3, 1)
B. m = 1/3 Point = (1,-4)
C. m = 1/3 Point = (1, 4)
D. m = 1/3 Point = (-1, 4)​

Answers

Answer:

B

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 4 = [tex]\frac{1}{3}[/tex] (x - 1) ← is in point- slope form

with m = [tex]\frac{1}{3}[/tex] and (a, b ) = (1, - 4 ) → B

16. The measures of the acute angles of a right triangle have a ratio of 2 :7.
What is the measure of the smaller angle?

Answers

Answer:

The smaller angle is 20 degrees.

Step-by-step explanation:

A triangle's interior angles must have a sum of 180 degrees. Hence the two acute angles must have a sum of 180-90=90 degrees.

Say that the angles have 2x and 7x length:

2x+7x=90

9x=90

x=10

Hence the acute angles have degrees 2*10=20, 7*10=70.

The smaller angle is 20 degrees.

Hope this was helpful!

Round 2.37 to one decimal place.​

Answers

2.4

When rounding, look at the next number. If the next number is 4 or less, the previous number stays the same. If it is 5 or more, the previous number rounds up by 1.

In this case, 7 is greater than 5 so you round 3 up to 4 getting 2.4

13. On a snow day, the temperature at 8 AM was 2°F. Later in the day the temperature rose 6º. What was the resulting temperature?​

Answers

The resulting temperature was 8°F.

What is the answer to this question?

Answers

Answer:

Perimiter would be 30cm

Step-by-step explanation:

3+3+6+3+6+3+6

what is 22 over 7 - 2 over 3 divided by 2

Answers

22/7-2/3 divided by 2. first, you would do 2/3 divided by 2, which can be rewritten as 2/3 times 1/2, which is 2/6. 2/6 can be simplified as 1/3. next, you do 22/7-1/3, which is 59/21, or 2 17/21.

Six apples and three oranges cost $3.36. Two apples and five oranges cost $3.04. Find the cost of one apple and the cost of an orange.

Answer and step-by-step explanation pls!!

Answers

Answer:

$0.8

Step-by-step explanation:

let x represent the price of apples

let y represent the price of oranges

6x+3y=3.36—eqn 1

2x+5y=3.04—eqn 2

Multiply eqn 2 by 3

3(2x+5y=3.04)=6x+15y=9.12

Subtract eqn 2 from 1

6x+3y=3.36

-{6x+15y=9.12}

-12y=-5.76

y=0.48

plug y=0.48 into eqn 1

6x+3(0.48)=3.36

6x=3.36-1.44

x=1.92/6=0.32

That is, an apple costs $0.32 and an orange costs $0.48

Therefore the cost of an orange and an apple=$0.48+$0.32=$0.8

Answer:

apple: $0.32orange: $0.48

Step-by-step explanation:

Let x and y represent the costs of 1 apple and 1 orange, respectively. The two cost figures tell us ...

  6x +3y = 3.36

  2x +5y = 3.04

We note that all of the numbers in the first equation are divisible by 3, so we can divide by 3 to reduce it to ...

  2x +y = 1.12

Subtracting this from the second equation gives ...

  (2x +5y) -(2x +y) = (3.04) -(1.12)

  4y = 1.92 . . . . . . . simplify

  y = 0.48 . . . . . . . divide by 4

Then the cost of an apple can be found from our reduced equation:

  2x +0.48 = 1.12 . . . substitute for y

  2x = 0.64 . . . . . . . . subtract 0.48

  x = 0.32 . . . . . . . . . divide by 2

The cost of one apple is $0.32; the cost of one orange is $0.48.

_____

Additional comment

The method of solution we used here is called "elimination," because the x-variable was eliminated from the combined equations. There are numerous other methods available for solving a system of linear equations. Most graphing calculators have features for graphing and for reducing matrices that will solve these for you. All you need to do is enter the equations.

what are complementry angles

Answers

Answer:

either of two angles whose sum is 90°

Hello there! :)

Complementary angles are angles that add up to 90 degrees.

Example:

34 and 56 are complementary angles.

Hope this helps!

~Just a gloomy teen

#CarryOnLearning

[tex]SilentNature \\:([/tex]

helpppppppppppppppppppppppppppppppppppppppppp

Answers

With what I have to say about the way that you are going on the way back and forth between you and me and I have a

Answer:

The answer is G which is 16.

Step-by-step explanation:

To solve the problem multiply 25/125 times 80.

Math Essay Solve for g. make sure to show your work
(16 divided 4)(3x7)=g

Answers

Answer:

84 = g  

Step-by-step explanation:

(16 ÷ 4)(3 × 7) = g       Divide

   4(3 × 7) = g              Multiply

    4 × 21 = g               Multiply

        84 = g                Simply

Answer ALL the question. Thank you


1) A toad jumps 8 times. Every time he jumps, he covers the same distance. After 8 jumps, he had traveled 96 steps. How long are his jumps?


2) Roger covers 52 steps in 1 jump and 7 steps. How many steps are equal to on of Roger's jumps?


3)Wartortle takes the same amount of time to get to 96, but he does it differently. Each of his jumps is equal to 8 of the toad's steps. How many jumps does Wartorle make?


4) Ribbbie jumped just as far as MT, 52 steps, but Rabbie did it in 3 jumps and 10 steps. How many steps are equal to one of Ribbie's jumps?

Answers

1) The toad's jumps are 12 steps long.

2) One of Roger's jumps equals 45 steps.

3) Wartortle makes 1 jump to cover 96 steps.

4) One of Ribbie's jumps is equal to 14 steps.

1) Given that a toad jumps 8 times, and every time he jumps, he covers the same distance, and after 8 jumps, he had traveled 96 steps, to determine how long are his jumps the following calculation must be performed:

96/8 = X 12 = X So, his jumps are 12 steps long.

2) Given that Roger covers 52 steps in 1 jump and 7 steps, to determine how many steps are equal to one of Roger's jumps, the following calculation must be performed:

52 - 7 = X 45 = X Thus, one of Roger's jumps equals 45 steps.

3) Since Wartortle takes the same amount of time to get to 96, but he does it differently, as each of his jumps is equal to 8 of the toad's steps, to determine how many jumps does Wartorle make the following calculation must be performed :

8 x 12 = X 96 = X 96/96 = 1 Therefore, Wartortle makes 1 jump to cover 96 steps.

4) Given that Ribbie jumped just as far as MT, 52 steps, but Ribbie did it in 3 jumps and 10 steps, to determine how many steps are equal to one of Ribbie's jumps, the following calculation must be performed:

(52 - 10) / 3 = X 42/3 = X 14 = X Therefore, one of Ribbie's jumps is equal to 14 steps.

Learn more in https://brainly.com/question/19634148

O is the centre of the circle. Determine the value of s to the nearest tenth, if necessary.


a) 6.7

b) 7

c) 77

d) 9.2

Answers

i think it’s B :))))))))))))

what is the right answer

Answers

Answer:

C. The third option

Step-by-step explanation:

square root of 3 = 1.73

2/6 = 0.333

254% = 2.54

I hope that this helps!

".

Measure these angles.

a)

b)

Answers

I can’t see any of the angles there
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