g(n)=−50−15ng, left parenthesis, n, right parenthesis, equals, minus, 50, minus, 15, n Complete the recursive formula of g(n)g(n)g, left parenthesis, n, right parenthesis. g(1)=g(1)=g, left parenthesis, 1, right parenthesis, equals

Answers

Answer 1

Answer:

  g(n) = g(n-1) -15

  g(1) = -65

Step-by-step explanation:

We can find the recursive formula from the explicit formula for this arithmetic sequence by substituting 1 and (n+1) for n in the explicit formula.

__

  g(n+1) = -50 -15(n+1) = (-50 -15n) -15 . . . . . find g(n+1)

  g(n+1) = g(n) -15

and ...

  g(1) = -50 -15(1) = -65

Then the recursive formula can ge written as ...

  g(n) = g(n-1) -15

  g(1) = -65

_____

Additional comment

We found g(n+1) = g(n) -15. Substituting n-1 for n in this formula puts it in the form we need for answering the question:

  g((n-1)+1) = g(n-1) -15

  g(n) = g(n -1) -15

Either of these forms tells you how to get the next term from the previous one.

Answer 2

Answer:

g(n) = g(n-1) -15

g(1) = -65

Step-by-step explanation:

answer on khan


Related Questions

PLEASE HELP!!! I WILL GIVE BRAINLIEST!!! AND NO LINKS PLEASE!!!!!

Answers

Answer:

To get the discount for the 5 pound bag of apples, we must first note the following:

The original price of the apples, which in this case it is 2.99

Also we must note the sale price for the apples which is 1.59

to get the discount for apples we must then create an equation based on the above information,

Discount for A= original price -sale price

Discount for A=2.99-1.59

Discount for A=1.40

Part 1 Answer is 1.40 which is the discount for apples at Handy Dandy Grocery.

Part 2

To get the discount for oranges we follow the same steps.

Discount for R= Original price for R -sale price for R

Discount for R=3.99-2.59

Discount for R=1.40

In conclusion, for both part one and part two we can derive a formula based on the apples and orange and say discount in both cases is arrived by the following:

D=Op-Sp. ( d= discount, Or= original price, Sp= sale price.)

Answer:

I'm not certain I understand what is being requested.  Please see the attached explanation for two different approaches.

Step-by-step explanation:

See attachment.

Which quadratic equation is equivalent itto * (x - 4) ^ 2 - (x - 4) - 6 = 0 ?

Answers

Answer:

[tex]x2 - 9x + 14 = 0[/tex]

Step-by-step explanation:

x2 - 9x + 14 = 0

Which expression is a prime polynomial?
O A 8.37 - 9 + 12-2
OB. 19 - y
OC. I +9y2
OD 3m + 9n

Answers

I believe the answer would be

A,C and maybe D hope this helps

Drag and drop the angle pairs to correctly match their
description
vertical angles
complementary
angles
supplementary
angles
adjacent angles
that are neither
complementary nor
supplementary

Answers

What are you dragging so I can help?

Jon invests $4,100 into an account that pays 5 percent simple interest each year. What is the total balance in the account after 3 years?
$615.00
$3,485.00
$4,305.00
$4,715.00

Answers

what is 5% off 4,100?

once you get that number you should have it..

hi there :>

your answer is $4,715.00

have an amazing day <3

(please tell me if this is incorrect.)

math help please it is overdue​

Answers

Answer:

X = 20

Y = 10√3 or 17.32 or 17.3

Steps given below in the image,

I hope my answer helps you.

Answer:

x = 20

y = 17.32

Step-by-step explanation:

[tex]10 = x \cos 60 \degree \\ \\ \implies \: 10 = x \times \frac{1}{2} \\ \\ \implies \: 10 \times 2= x \\ \\ \implies \: \huge{ \boxed{x = 20}} \\ \\ y = 10 \tan \: 60 \degree \\ \\ \implies \: y = 10 \times \sqrt{3} \\ \\\implies \: y = 10 \times 1.732 \\ \\\implies \: \huge{ \boxed{ y = 17.32}}[/tex]

Pythagorean Theorem. Show your work.

Answers

Step-by-step explanation:

First you do 2 squared plus 5 squared since it is A and B

2² + 5² = 29

Then you square root 29

which is 5.385164807 or 5.4 when you round


Find the x- and y-intercepts of the equation - 4x + 2y = 20

Answers

Answer:

y-intercept: 20

x-intercept: 5

Step-by-step explanation:

First, you want to rearrange the equation to make y on one side

2y=20-4x

Next, the y-intercept is 20.

Then to find the x-intercept, you have to make the equation equal to 0.

20-4x=0

Now, you solve for x.

20-4x=0

-4x=-20

-x=5

x=5

The x-intercept is 5.

please help I can't find the mean

Answers

Answer:

add all and devide by the amount of numbers so in this case 0+5+6+7+7 devided by 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

0 + 5 + 6 + 7 + 7 = 25

25/5 = 5

In the figure below, triangle B C A tilde triangle S T R. Find cos T comma sin T comma and tan T. Round your answers to the nearest hundredth.

Answers

Y=tx26 The comma and tan sin Is cos x

Please help me ASP! Could anyone tell me what 3 x what gets me to 90?

Answers

Answer:

3*30 = 90

Step-by-step explanation:

3*30 = 90

PLEASE HELP WILL GIVE BRAINLIEST!!!!​

Answers

The equation is

4x - 3 = 5
4x - 3 + 3 = 5 + 3
4x = 8
4x / 4 = 8 / 4
x = 2

Instructions: Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

first question = 57 degrees

second question = 27 degrees

Step-by-step explanation:

use trigonometry and SOH CAH TOA

then rearrange to find the value of x

using the power of -1

HELPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

The answer would be team D as their range is 24.

Step-by-step explanation:

Team A: range of 27

Team B: Range of 32

Team C: Range of 27

Team D: Range of 24

Team D has the lowest range found by subtracting the larger number 46 by the smaller number 22.

-. Find the missing part that will make the equation a perfect square
U2 + 34u +

Answers

Answer:

289

Step-by-step explanation:

using the method of completing the square

add ( half the coefficient of the u- term )² to u² + 34u

u² + 2(17)u + 17²

= u² + 34u + 289

= (u + 17)² ← a perfect square

I need help ty-math-

Answers

Answer:

1,2,2,2,2,2,2,3,3,4,5,5,6

Step-by-step explanation:

Oh, math! One of my absolute favorite subjects. I'd be happy to help.

From least to greatest, here's the list-

1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 5, 5, 6, 10

I hope this answers your question.

-Toremi

The population of Sheffield is 690,000 to the nearest thousand and the population of Nottingham is 730,000 to the nearest 1000.
Calculate the upper and lower bounds for the difference in population between Sheffield and Nottingham.

Please answer with clear instructions so that i can apply this to other questions

Answers

Answers:

lower bound = 39001

upper bound = 40999

========================================================

Explanation:

You'll have to think backwards to find what values round to 690,000 when rounding to the nearest thousand.

It turns out that if x is on the interval [tex]689,500 \le x \le 690,499[/tex], then x will round to 690,000 when rounding to the nearest thousand. The x refers to the population of Sheffield, so it's some integer in that range.

Through similar logic, if y is on the interval [tex]729,500\le y \le 730,499[/tex] then it will round to 730,000 when rounding to the nearest thousand. This represents the population of Nottingham.

-------------------

Now let's say we go for the smallest possible value of x (689500) and the largest possible value of y (730499). This guarantees the two populations are the most spread out or distant from one another. Subtract those two values:

730,499 - 689,500 = 40,999

This is the largest difference possible of the two populations. It represents the upper bound, i.e. it's the ceiling.

---------------------

On the other hand, let's now say x is as big as possible (690499) and y will be as small as possible (729500). Subtract those values:

729,500 - 690,499 = 39,001

This is the lower bound. It's the smallest the difference can be. It's considered the floor.

----------------------

Let d be the difference in the populations. In other words, d = y-x

We found that the lower bound was 39,001 and the upper bound was 40,999

Meaning that

[tex]39,001 \le y-x \le 40,999[/tex]

or

[tex]39,001 \le d \le 40,999[/tex]

Share OMR 120 in the ratio 1.5 : 0.5​

Answers

Answer:

90:30 is the answer

only if we use over 2

How much food can this container hold? Express your answer in terms of it. 277 in. 3 in. 9 in. 187 in 3 811 in. Ort in. 3 00​


AGHHH HELP

Answers

Answer:

27 pi in^3

Step-by-step explanation:

volume of the cone

= 1/3 x pi x r^2 x h

= 1/3 x pi x(3)^2 x (9)

= 27 pi in^3

What are souloutions to (x+9)^2=49

Answers

(x+9)=49:2
x+9=24.5
x=24.5-9
x=15.5
I think it right

help please will mark brainliest ​

Answers

Answer: 450

Step-by-step explanation:

there are only r red counters and g green counters in a bag. a counter is taken at random from the bag. the probability that the counter is green is 4/9. the counter is put back in the bag. 4 more red counters and 2 more green counters are put in the bag. the probability that the counter is green is 10/23. find the number of red counters and the number of green counters that were in the bag originally.

Answers

Answer:

35 : 28

Step-by-step explanation:

Check the attachment.

Solve algebraically for x: -2/3(x+12)+2/3x=-5/4x+2 pls explain​

Answers

Answer:

x = 8

Step-by-step explanation:

Given equation:

[tex]\dfrac{-2}{3} (x+12)+\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]

Start out by simplifying the distributive property on the left hand side.

[tex]\implies \dfrac{-2x}{3} + \dfrac{(-24)}{3} +\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]

Combine like terms on the left hand side.

[tex]\implies x\huge\text{(}\dfrac{-2}{3} + \dfrac{2}{3}\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]

Simplify the left hand side.

[tex]\implies x\huge\text{(}0\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]

[tex]\implies x\huge\text{(}0\huge\text{)} - 8 =\dfrac{-5x}{4} +2[/tex]

[tex]\implies0- 8 =\dfrac{-5x}{4} +2[/tex]

[tex]\implies-8 =\dfrac{-5x}{4} +2[/tex]

Subtract 2 both sides.

[tex]\implies-8 -2 =\dfrac{-5x}{4} +2 - 2[/tex]

[tex]\implies-10 =\dfrac{-5x}{4}[/tex]

Use cross multiplication.

[tex]\implies-10 \times 4 =-5x[/tex]

[tex]\implies-40 =-5x[/tex]

Divide -5 both sides.

[tex]\implies \dfrac{-40}{-5} =\dfrac{-5x}{-5}[/tex]

[tex]\implies 8=x[/tex]

Thus, the value of x is 8.

Answer:

x = 8

Step-by-step explanation:

Given equation:

[tex]-\dfrac23(x+12)+\dfrac23x=-\dfrac54x+2[/tex]

Multiply both sides by 3:

[tex]\implies -2(x+12)+2x=-\dfrac{15}{4}x+6[/tex]

Multiply both sides by 4:

[tex]\implies -8(x+12)+8x=-15x+24[/tex]

Expand brackets:

[tex]\implies -8x-96+8x=-15x+24[/tex]

Combine like terms:

[tex]\implies -96=-15x+24[/tex]

Add 15x to both sides:

[tex]\implies 15x-96=24[/tex]

Add 96 to both sides:

[tex]\implies 15x=120[/tex]

Divide both sides by 15:

[tex]\implies x=8[/tex]

Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as
R = {(a, b): b = a + 1} is reflexive, symmetric or transitive.

Answers

Answer:

The answer is R is neither reflexive, nor symmetric, nor

transitive.

Step-by-step explanation:

Let A = {1, 2, 3, 4, 5, 6}.

A relation R is defined on set A as:

R = {(a, b): b = a + 1}

R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}

We can find (a, a) ∉ R, where a ∈ A.

For instance,

(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) ∉ R

R is not reflexive.

It can be observed that (1, 2) ∈ R, but (2, 1) ∉ R.

R is not symmetric.

Now, (1, 2), (2, 3) ∈ R

But, (1, 3) ∉ R

R is not transitive

Thus, R is neither reflexive, nor symmetric, nor transitive.

Explain the difference between a polygon that is regular and a polygon that is not regular

Answers

Regular polygons have equal sides

Irregular polygons have unequal sides

Answer:

regular polygons have sides and interior angles that are the same and irregular polygons have sides and interior angles that are different

Step-by-step explanation:

Both circles have the same center. What is the area of the shaded region.
D=48 km
11km
Use 3.14 for pie

Answers

Answer: the answer  50.22

Step-by-step explanation:

What is the order from least to greatest 1/5 1/10 0.5

Answers

Answer:

1/10

1/5

0.5

Explanation:

1/10 = 0.1

1/5 = 0.2

Answer: 1/10, 1/5, 0.5

0.5 is equal to 1/2, which is greater than each of the other fractions provided.

Describe the outlier boundaries for the data set.


16, 18, 19, 16, 20, 18, 24, 22

Answers

Answer:

Any value less than 16 or greater than 24 is an outlier. :)

Step-by-step explanation:

In the data set, the smallest value is 16 and the largest value is 24 so that is why I think any value less than 16 or greater than 24 is an outlier. :)

Have an amazing day!!

Please rate and mark brainliest!!

find the solution of y=x+3 and y=2x+6

Answers

Answer:

x = 3 and y = 0

Step-by-step explanation:

To find the solution where you have two equations is called a System of Equations.

What you do is you notice there are two equations and the let both equations equal each other. We can do this because both equations start with a y. These "y" work like puzzles and you can connect the "x+3" and "2x + 6" together. Then solve for it. Here's what i mean,

y = x+3

y = 2x+6

Now connecting them,

x+3 = 2x+6

Subtract x from both sides

3 = x + 6

Subtract 6 from both sides,

x = -3

Now solve for y,

y = -3 + 3 = 0

So our solution is x = 3 and y = 0.

Answer:

  (x, y) = (-3, 0)

Step-by-step explanation:

Substitution or elimination work well for solving this system of equations.

__

Elimination

Subtract the first equation from the second.

  (y) -(y) = (2x +6) -(x +3)

  0 = x +3

  -3 = x . . . . . . . subtract 3

  y = (-3) +3 = 0 . . . . use the first equation to find y

  (x, y) = (-3, 0)

__

Substitution

Use the second equation to substitute for y in the first.

  2x +6 = x +3

  x = -3 . . . . . . . . . subtract x+6 from both sides

  y = (-3) +3 = 0 . . . . find y using the first equation

  (x, y) = (-3, 0)

__

A graphing calculator answers these quickly.

Is the following shape a square?, How do you know?

Answers

Answer:

C. No, because the sides aren't congruent

Step-by-step explanation:

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