g(n) = 1 + 5(n - 1)
Complete the recursive formula of g(n).
g(1) =
g(n) = g(n-1)+

G(n) = 1 + 5(n - 1)Complete The Recursive Formula Of G(n).g(1) =g(n) = G(n-1)+

Answers

Answer 1

Answer:

Hi... U should do like this

G(n) = 1 + 5(n - 1)Complete The Recursive Formula Of G(n).g(1) =g(n) = G(n-1)+
Answer 2

The recursive formula will be g(n) = g(n-1) + 5

What is recursive formula ?

"A recursive formula refers to a formula that defines each term of a sequence using the preceding term(s). The recursive formulas define the following parameters:

The first term of the sequence.

The pattern rule to get any term from its previous term.

Recursive Formula for Arithmetic Sequence

The recursive formula to find the nth term of an arithmetic sequence is:

an = an-1 + d for n ≥ 2

where

an is the nth term of a A.P.

d is the common difference."

Given,

[tex]g(n) = 1 + 5(n-1)[/tex]

Let the remaining term be x

Now,

[tex]g(n) = g(n-1) + x 1 + 5(n-1) = 1 + 5(n - 1 - 1) + x\\\\ 1 + 5n - 5 = 1 + 5n - 10 + x \\\\x = 5[/tex]

So, [tex]g(n) = g(n-1) + 5[/tex]

And, [tex]g(1) = 1 + 5(1 - 1) + 5[/tex]

[tex]g(1) = 6[/tex]

Hence, [tex]g(1) = 6[/tex] and [tex]g(n) = g(n-1) + 5[/tex]

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Related Questions

What is the solution to the equation shown below? (2/3)x + 5 = 1

Answers

Answer:

The solution is x = −6.

Step-by-step explanation:

3g-2+7g+8=
What is this

Answers

Answer:

10g+6 is the answer

Step-by-step explanation:

A 2 1/2 pound bag of grass seed covers 1/8 of an acre.How much grass seed is needed for 1 acre

Answers

Answer: 8 times more 8*2 1/2 = 20 pounds.

Step-by-step explanation: If 2.5 pounds cover 1/8 then simply multiply the 2.5 by 8, since you'll need 8/8. 8/8=1.

I hope this helps :)

Answer my math question I asked so many times I lost most of points help by

Answers

y-intercept: (0, 1)

Line of symmetry calculation: x = -b/2a = -(-2)/2(2) = 0.5

Line of symmetry: x = 0.5

Open UP or DOWN: Opens UP

Min or Max: Min

Vertex: (0.5, 0.5)

Domain: {x|x ∈ ℝ}

Range: {y|y ≥ 1/2}

Please help me! Im not good at this topic.

Answers

Answer:

I THINK IT IS C.

Step-by-step explanation:

The cost y (in dollars) to spend an evening bowling is proportional to the
number of games x that are bowled.
It costs $16 to bowl 4 games.
5. Write an equation that represents the situation.
6. How much does it cost in dollars) to bowl 6 games?

Answers

Answer:

y = 4x

Bowl 6 games cost $24

Step-by-step explanation:

Proportional Relationship

We have a situation where the cost y in dollars to spend an evening bowling is proportional to the number of games x bowled.

A proportional relationship is written with the equation:

y = k.x

The value of k will be determined by using the given information: 4 games bowled cost $16, thus:

16 = k.(4) = 4k

Solving:

k = 16 / 4 =4

Thus, the function is:

y = 4x

x=6 games bowled cost:

y = 4*6

y = $24

Bowl 6 games cost $24

HELP ASAP! Given f(x) = ax^2 + c, list each characteristic of the function.
What does a do?
What shifts the graph from going up to going down?
What does x^2 do?
What does c do?
What is the vertex?

Answers

Sorry I just wanted freee pointed

Someone please help me, please

Answers

110 degrees, for triangles all sides should add up to 180 degrees, no matter what type of triangle it is, hope this helps!

find the amount and the compound interest on rupees 10000 for 2 years at 5% per annum compounded annually​

Answers

Answer:

11025

Step-by-step explanation:

100+5÷100=1.05 squared

10000x1.05squared=11025

Answer:

Amount = 11205

CI = 1205

Step-by-step explanation:

[tex]a = p(1 + \frac{r}{n} ) {}^{nt} [/tex]

Here,

p = 10000

r = 5% = 5/100 = 0.05

n = 1

t = 2

[tex]a = 10000(1 + \frac{0.05}{1} ) {}^{1 \times 2} [/tex]

[tex]a = 10000(1.05) {}^{2} [/tex]

[tex]a = 10000(1.1025)[/tex]

[tex]a = 11205[/tex]

C.I = a - p

C.I = 11205 - 10000

C.I = 1205

Rosa picked some peaches from one tree,
and then she picked 8 peaches from a
different tree.
She gave 10 peaches to Sten.
She has 12 peaches left.
How many peaches did Rosa pick from the
first tree?

Answers

Answer:

points

Step-by-step explanation:

She picked 22 peaches first

Find the slope of the line that passes through the points, A(0,2) and B(4, -1).

Answers

Answer:

Slope=M=y2-y1/X2-X1=

-1 -2 /4-0=

-3/4  =

-0.75

Step-by-step explanation:

Hope this helped!!!!

Answer:

y=(-3/4)+2

Step-by-step explanation:

Hello there! In order to solve this problem we will have to find the slope of the line and then use the point slope formula

Firstly, lets solve for the slope by finding the change in y over the change in x:

slope (m)= [tex]\frac{y2-y1}{x2-x1}[/tex]

We will plug in the values of the points given and find that:

slope (m)= [tex]\frac{-1-2}{4-0}[/tex]

this equals (-3/4)

from here we will use the point slope formula to find for the equation that the line passes through. You can use either point for this step, I will be using A(0,2).

Point-slope equation:

[tex]y-y1=m(x-x1)[/tex]

Plugging in values:

[tex]y-2=(\frac{-3}{4})(x-0)[/tex]

after isolating y we find that the equation is:

[tex]y=\frac{-3}{4} x+2[/tex]

Hope this helps!

-HM

in the figure given alongside find angle ACD angle ADC and angle DAE​

Answers

You have not given the figure

What are the solutions to the equation? x2(x+2)(x+6)=0

Answers

Answer:

x1 = -6, x2 = -2

Step-by-step explanation:

hope this helps :)

Describe the set of all complex numbers that are at a distance of 2 units from the origin.

Answers

Answer:

The description of the set is [tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex].

Step-by-step explanation:

From Complex Analysis, we remember that complex numbers are numbers whose form is:

[tex]s = a+i\, b[/tex], [tex]a,b \in \mathbb{R}[/tex] (1)

Where [tex]i = \sqrt{-1}[/tex].

In addition, the distance from the origin is defined by the following Pythagorean identity:

[tex]\|s\| = \sqrt{a^{2}+b^{2}}[/tex] (2)

The following condition must be satisfied:

[tex]\|s\| = 2[/tex]

Then, the set of all complex numbers that are at a distance of 2 units from the origin is described below:

[tex]A = \{s\in \mathbb{C}|\|s\| = 2\}[/tex] (3)

The set of all complex numbers that are at a distance of 2 units from the origin is [tex]\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]

A complex number, written in rectangular form is

[tex]z=a+ib\\a,b\in \mathbb{R}[/tex]

The distance of a complex number from the origin (the modulus of the complex number, denoted by [tex]|z|[/tex]) is given by the formula

[tex]|z|=\sqrt{a^2+b^2}[/tex]

Since we want all the complex numbers to be at the distance of 2 units from the origin, they must satisfy

[tex]|z|=2[/tex]

thus, the set we are looking for is

[tex]D=\{z\in \mathbb{C} :\text{ }|z|=2\}[/tex]

where [tex]\mathbb{C}[/tex] is the set of all complex numbers

Learn more about complex numbers here: https://brainly.com/question/12274048

Math Trick
43 x 67 = ?

Answers

Answer:2881

Step-by-step explanation:

Answer:

2881

Step-by-step explanation:

Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?

Answers

Answer:

$15.75

Step-by-step explanation:

30 multiplied by 0.3 is 9. 30-9 is 21. 21 multiplied by 0.25 is 5.25. 21-5.25 is 15.75

please help me pls and ty ​

Answers

There are two opposite pairs and I am not sure if this is a select all question.
But here are the following:

B) C and F are pairs. That is -4 and 4
D) A and H are pairs. That is -8 and 8

Hope this helps!

x2 is to 441 as x3 is to ___.

Answers

Solve for c in x^2 = 441

Taking the square root of both sides x = 21

Now x^3 = 21^3 = 9,261

The answer is 9,261

The solution is x² is to 441 as x³ is to 9261

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

x² = 441

Taking square roots on both sides , we get

x = 21

Therefore , x³ = 21 × 21 × 21

x³ = 9261

Hence , x² is to 441 as x³ is to 9261

To learn more about equations click :

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9x - 4 = 5x - 4 + 4x

Answers

Answer:

X = 1

Step-by-step explanation:

HOPE THIS HELPS

am i answering the same question over and over again?

whatever

PLZ MARK BRAINLIEST

TNMILLER this for youuuuuuu!

Answers

Answer:

??

Step-by-step explanation:

i am so confused... love ur pfp tho

Answer:

:D

Step-by-step explanation:

thank

Evaluate the expression | 9 | + | - 2|

Answers

Answer: 11

Step-by-step explanation:

|9| + |-2| =

9 + 2 = 11

Answer:11Hope this helps!!

Frank bought 5 pounds of dog food for 8.75. At this rate how much would he pay for 8 pounds

Answers

$14

you need to set up a preportion

if 5 lbs costs 8.75 then we need to figure out how much 8 lbs cost, obviously lol.

anyways what ya finna do is make a fraction

5                  8

---        =      ----

8.75             x

then u cross multiply. 8 x 8.75 = 70

70 = 5x

x= $14

what is the answer? ​

Answers

Answer:

Required Answer:-If [tex]\triangle[/tex] ABC is a isosceles triangle thenAB=BC

Now Substitute values

[tex]\longrightarrow[/tex][tex]\sf 3x-4=5x-10[/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-10=3x-4 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 5x-3x=-4+10 [/tex]

[tex]\longrightarrow[/tex][tex]\sf 2x=6 [/tex]

[tex]\longrightarrow[/tex][tex]\sf x={\dfrac {6}{2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf x=3 [/tex]

[tex]\therefore[/tex][tex]\sf AB=3x-4=3\times 3-4=9-4 \\ \sf AB=5units [/tex]

Step-by-step explanation:

Side AB and Side BC are the same so we can make them equal to each other:

3x -4 = 5x -10

Subtract 3x from both sides.

-4 = 2x -10

Add 10 to both sides.

6 = 2x

Divide both sides by 2

3 = x

x = 3

Now substitute x in the expression

3x -4

3(3) -4

PEMDAS

9 - 4

Subtract

5

X-7
4x + 1
ngle.
6x + 2

Find the perimeter

Answers

Answer:

ANSWER

GIVEN:

OA= 3x-1 , OC= 5x-3, OD= 6x-5 , BO = 2x+1

AO/OC = BO/OD

[The diagonals of a Trapezium divide each other proportionally]

(3x-1)/(5x-3) =( 2x+1)/(6x-5)

(3x-1) (6x-5) = (5x-3) ( 2x+1)

3x(6x-5) -1 (6x-5) = 2x(5x-3)+1(5x-3)

18x² -15x -6x +5 = 10x² -6x +5x -3

18x² -21x +5 = 10x² - x -3

18x² -10x² -21x + x +5+3 =0

8x² - 20x +8= 0

4(2x² -5x +2) = 0

2x² -5x +2 = 0

2x² -4x -x +2= 0

[By factorization]

2x(x-2) -1(x-2)= 0

(2x-1) (x-2) = 0

(2x-1) = 0 or (x-2) = 0

x = ½ or x = 2

If we put x= ½ in OD , The value of OD is negative.

Hence, the value of is x = 2.

Step-by-step explanation:

1 =29 and 2=44...............

which is closer to 0 3/8 or -1/3

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

3/8 = 9/24

1/3 = 8/24

-1/3 is closer to 0

3/8 is farther from 0

In order for two figures to be considered similar, which of the following MUST be true? (Check all that apply) There is more than one answer.


Corresponding sides are proportional


Corresponding sides are congruent


The shapes are exactly the same in side length and angle measure


Corresponding angles are congruent

Answers

Answer:

According to me all the options are correct

The answers are A and D

The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.

Date
Closing amount (in points)
01/27
13,895.98
01/28
13,881.93
01/29
13,954.4
01/30
13,860.42

Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points

Answers

Answer:

The first option

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

are these all right?? PLS HELP IM SO DUMB AHAH.

Answers

Answ

yes

Step-by-step explanation:

Answer:??

Step-by-step explanation: How do I use this app??

According to the synthetic division below, which of the following statements
are true?
Check all that apply.

Answers

The question is not complete, so i have attached it.

Answer:

Options A, B & E are correct

Step-by-step explanation:

In the synthetic division attached, we see that:

: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12

: The divisor is 3

Thus;

x = 3 is a root of f(x) = 2x² - 2x - 12

Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12

- Now, from the attached image, the coefficients of the quotient are 2 , 4

- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)

The degree of the dividend will be 2 since it contains x²

Thus, the degree of the quotient will be 1

Therefore, the quotient in factor form is (2x + 4)

Looking at the given statements in the options;

- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12

- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12

- Option C is not true because the factor is (x + 3) and not (x - 3)

-Option D is not true because the root is 3 and not -3

- Option E is true because we have established that quotient as a factor is: (2x + 4)

Thus, the correct options are A , B , E

5(x - 6) + 2 = 7x - 8
what is x

Answers

Answer:

x = -10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties

Distributive

Step-by-step explanation:

Step 1: Define equation

5(x - 6) + 2 = 7x - 8

Step 2: Solve for x

Distribute 5:                              5x - 30 + 2 = 7x - 8Subtract 5x on both sides:       -30 + 2 = 2x - 8Add:                                           -28 = 2x - 8Add 8 on both sides:                -20 = 2xDivide 2 on both sides:             -10 = xRewrite:                                      x = -10

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                         5(-10 - 6) + 2 = 7(-10) - 8Subtract:                            5(-16) + 2 = 7(-10) - 8Multiply:                             -80 + 2 = -70 - 8Add/Subtract:                    -78 = -78
5(x-6)=7x-8-2
5(x-6)=7x-10
5x-6*5=7x-10
5x-30=7x-10
5x-7x=-10+30
-2x=20
x=20/-2
x=-10
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