Which of the following is the explicit rule for a geometric sequence defined by
a recursive formula of…
A. an = 13.7041
OB. a, = 13.70-1
O C. a, = 7.13+1
O D. an = 7.130-1

Which Of The Following Is The Explicit Rule For A Geometric Sequence Defined Bya Recursive Formula OfA.

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Always apply the formula a_n=ar^(n-1) in this type of questions, since you know that the first term, a is 7 and the common ratio, r is 13. Therefore you can substitute a = 7 and r = 13 into the equation which equals to a_n=7×13^(n-1)

Answer 2

The explicit rule for a geometric sequence defined by,

a(n) = 7 × 13ⁿ⁻¹

We have to given that,

a (n) = 13 a (n - 1)

Now, We can simplify as,

a (n) / a (n - 1) = 13

a (n) = 13 a (n - 1)

Since, We know that,

a(n) = a × rⁿ⁻¹

Here, a = 7

a(n) = 7 × 13ⁿ⁻¹

Hence, Option c is true.

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Related Questions


What is the value of X in the figure show

Answers

Answer:

x=11

Step-by-step explanation:

The equation for the problem is 4x-2=42. The angle (4x-2) is equal to 42 degrees because it is vertical to the angle with 42 degrees. If angles are vertical, they are equal to each other.

Add 2 to both sides of the equation.

4x+2=4x     42+2=44

Simplify.

4x=44

Divide 4 by both sides.

4x/4=x     44/4=11

Simplify to get the final answer.

x=11

The formula to estimate organic growth is Pf=P0 . e^rt

MegaVax manufactures vaccinations. The microbe jagus rashii, is being grown for a vaccine against a new strain of influenza. Jagus rashii grows at a rate of 25.0% per hour. How long will it take for a culture of 1,349 jagus rashii to grow to a population of 75,709?

Express your answer to the nearest hundredth of an hour.

Answers

Answer:

16.12 hr

Step-by-step explanation:

If I got it right, we have:

Formula Pf = P0*e^(rt)Pf = 75709P0 = 1349r = 25% = 0.25t = ?

Substitute the given values and solve for t:

75709 = 1349*e^(0.25t)e^(0.25t) = 75709/1349e^(0.25t) = 56.1223ln e^(0.25t) = ln 56.12230.25t = 4.03t = 4.03/0.25t = 16.12 hr

Find the measure of side WX. Figures are not drawn to scale. ​

Answers

Answer:

its 93.4

Step-by-step explanation:

just multiply 46.7 by 2

What is the length of MN

Answers

Answer:

C. 1

Step-by-step explanation:

angle L and angle N are equal so the length of ML and MN should be equal too (isosceles triangle)

4x = x + 3 subtract x from both sides

3x = 3 divide both sides by 3

x = 1

help please will be marked as brainliest if correct and first person to respond

Answers

Answer: Unlock code = 76

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

Explanation:

Use a factor tree to find the prime factorization of each value

22 = 2*11

30 = 2*3*5

Both values have '2' in common and this is the largest such value. Therefore, the GCF of 22 and 30 is 2.

So E = 2

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

Since 3 and 8 have no factors in common (other than 1), this means the LCM is 3*8 = 24

We can say that F = 24.

If the numbers had some larger number in common, then we'd have to do a bit more work to find the LCM.

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

As the hint suggests, we'll use the distributive property to show that

3*(7+10) = G + 30

3*7 + 3*10 = G + 30

21 + 30 = G + 30

21 = G .... subtract 30 from both sides; they cancel and go away

G = 21

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

Use the same idea for the other equation as well

5*(3 + H) = 15 + 45

5*3 + 5*H = 15 + 45

15 + 5H = 45

5H = 45 ............ subtract 15 from both sides; they go away

H = 45/5 ......... divide both sides by 5

H = 9

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

The unlock code is

E+F+G+H = 2+24+21+29 = 76

76 would be the answer and should be the Code for your assignment or problem you needed help with.

please help stuck on probelem

Answers

Answer:  36 square units

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

Explanation:

Draw a horizontal line to cut the figure into a rectangle on top and a triangle down below.

The rectangle has length and width of 6 and 4 (horizontal and vertical components respectively). The area of this rectangle is 6*4 = 24 square units.

The triangle has a base of 6 and a height of 4. The base and height of any triangle are always perpendicular.

The area of the triangle is base*height/2 = 6*4/2 = 24/2 = 12 square units. If you were to cut out half of the triangle and rearrange things, you'll find that a rectangle can be formed. This rectangle is half in area that of the first rectangle we found. This is why we divide by 2 when finding the area of the triangle.

Once you know the two sub-areas, we add them up to get the overall area: 24+12 = 36 square units.

The answer is 36 units

Find the value of X a,57
b,3
C,81
D,27

Answers

Answer:

D. 27

Step-by-step explanation:

sum of exterior angles = 360

2x + 56 + 57 + 85 + 4x = 360

6x + 198 = 360

6× = 360 - 198

6× = 162

× = 27

Solve for x. Round to the nearest tenth, if necessary.​

Answers

Answer:

Step-by-step explanation:

take 60 degree as reference angle

using cos rule

cos 60=adjacent/hypotenuse

1/2=80/x

x=80*2

x=160


A card is drawn from a standard deck. Find the probability of drawing a heart or a 7.

Answers

Answer:   4/13

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

Explanation:

There are A = 13 hearts and B = 4 copies of "7"

The count A+B = 13+4 = 17 may seem like it's the count of hearts or "7" cards, but we're double counting the 7 of hearts. So the true count is actually 17-1 = 16

There are 16 cards we want (either a heart or a "7") out of 52 total. Therefore, the probability is 16/52 = (4*4)/(4*13) = 4/13


Write an equation in slope-intercept form of
the line that passes through (-6,4) and
(-1,2).

Answers

Answer:

Step-by-step explanation:

(-6 , 4)  & (-1 , 2)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{2-4}{-1-[-6]}\\\\= \frac{-2}{-1+6}\\\\= \frac{-2}{5}[/tex]

m = -2/5   & (-6 , 4)

y -y1 = m(x -x1)

[tex]y - 4 = \frac{-2}{5}(x - [-6])\\\\y - 4 = \frac{-2}{5}(x + 6)\\\\y - 4 = \frac{-2}{5}x + 6*\frac{-2}{5}\\\\y = \frac{-2}{5}x -\frac{12}{5}+4\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{4*5}{1*5}\\\\y=\frac{-2}{5}x-\frac{12}{5}+\frac{20}{5}\\\\y=\frac{-2}{5}x+\frac{8}{5}[/tex]

Help





Will



Give





Brainlist



Answers



:)))))) and

Answers

Answer:

26%

Step-by-step explanation:

_________________ polygons have congruent angles and proportional side lengths.
answers are:

Regular

Similar

Congruent

Parallel

Answers

Similar polygons have congruent angles and proportional side lengths.

Step-by-step explanation:

I think its similar

219.44 in word form

Answers

Answer:

two hundred nineteen and 44

OR

two hundred nineteen point 44

Step-by-step explanation:

do not say AND before nineteen. saying AND represents a decimal point. Both can be used (point or and)

Two hundred and nineteen point fourty four

A parabola and its focus are shown on the graph. The vertex of the parabola is at (0,0).

On a coordinate plane, a parabola opens to the right. It has a vertex at (0, 0) and a focus (3, 0).

What is the equation of the directrix of the parabola?

y = 3
y = –3
x = 3
x = –3

Answers

Answer:

y = -3

Step-by-step explanation:

the length from directrix to vertex is equal to the length from focus to the vertex.

Answer: y=-3

Step-by-step explanation: y = -3 Step-by-step explanation: the length to vertex is equal

HELP ME RN PLEASEEEE
[WILL GIVE BRAINLY TO CORRECT AND BEST EXPLAINED ANSWER]

Answers

Answer:

[tex]\boxed {\boxed {\sf d= \sqrt{34}}}[/tex]

Step-by-step explanation:

We want to find the distance between two points, so the following formula is used.

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.

We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:

x₁= -2 y₁= -1x₂= 3 y₂= 2

Substitute the values into the formula.

[tex]d= \sqrt {(-2-3)^2+(2--1)^2[/tex]

Solve the parentheses.

-2 -3 = -5 2--1 = 2+ 1 = 3

[tex]d= \sqrt{(-5)^2+(3)^2[/tex]

Solve the exponents.

(-5)²= -5*-5= 25 (3)²= 3*3=9

[tex]d= \sqrt{25+9}[/tex]

Add.

[tex]d= \sqrt{34}[/tex]

This radical cannot be simplified, so the distance between the two points is √34 and choice 3 is correct.

D = 34 your welcome mark me please choice threee will be correct

PLLEASEEEEEEEEEEEEEEEEE HELPPPPPPPPPP!!!! ill brainlist/ rate u 5 star.



A ramp is used so a trolley can be wheeled on to a platform.
The cross-section of the ramp is drawn as a right-angled triangle with
the unknown height labelled as x.
1 Is the unknown length in this triangle (shown as x) the length of
the hypotenuse? Explain ur answer.

Answers

Answer:

The hypotenuse is sqrt ( 2x^2)

Step-by-step explanation:

Given a right angled triangle, we can find the hypotenuse of a triangle using the Pythagorean theorem which says that c^2 = a^2 + b^2, where a is the length, b is the perpendicular height and c is the hypotenuse. The length of the triangle (l) is x and the height of the triangle is also x. By substituting the values,

c^2 = x^2 + x^2 = 2x^ 2

There are two possible answers to c but the hypotenuse cannot be negative.

Hence,

c = Sqrt (2x^2)

Find the value of x.

Answers

X=180-125-39=16 degrees

If 2^x = 5, what is 2^3x - 4?

Answers

Answer:

the value of x is 2^9/4 then 2^3x-4=2^11/4

Identify the vertex

Answers

Answer:

The vertex is (-2,10)

Step-by-step explanation:

The vertex is the maximum point on a downward facing parabola

The maximum is (-2,10)

The vertex is (-2,10)

What is the value of X in simplest radical form?

Answers

Answer:

Step-by-step explanation:

pythagoras theorem

a^2+b^2=c^2

24^2+10^2=x^2

576+100=x^2

676=x^2

[tex]\sqrt{676[/tex]=x

26=x

Help me solve this question for geometry !

Answers

Answer:

X²–49

Step-by-step explanation:

(x+7)(x-7)

x²+7x-7x-49

x²-49

A garden has width of [tex]\sqrt13[/tex] and length 7[tex]\sqrt13[/tex] . What is the perimeter of the garden in simplest radical form?

a. 14[tex]\sqrt13[/tex]
b. 16[tex]\sqrt13\\[/tex]
c. 91
d. 8[tex]\sqrt13[/tex]

If you could show work that would be wonderful, but just the answer is greatly apricated as well.

Answers

Answer:

perimeter of the garden=2(length+width)

=2(7√13+√13)

=2(8√13)

=1613

At what point do these lines intersect? A
-24x - 4y =-164
y=41 - 6x

Answers

Answer:

Infinite points

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

FunctionsTerms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-24x - 4y = -164

y = 41 - 6x

Step 2: Solve for x

Substitute in y [1st Equation]:                                                                           -24x - 4(41 - 6x) = -164[Distributive Property] Distribute -4:                                                                -24x - 164 + 24x = -164[Addition] Combine like terms:                                                                       -164 = -164

Here we see that -164 does indeed equal -164.

∴ We have an infinite amount of solutions.



Matt is saving to buy a new motorcycle. If he deposits $70 at the end of each month in an account that pays an annual interest rate of 3.5%, how much will he have in
60 months? Assume that the compounding is being done monthly

Answers

Answer:

bro I don't know. I just need the points so I can keep getting answers. good luck tho I guess.

complete the solution find the value of y when x equals 1 9x+7y=-12

Answers

9(1)+7y=-12
9+7y=-12
7y=-12-9
7y=-21
7y/7=-21/7
y=-3

The middle school is 2.72 kilometers from Marsha's house and 1.54 kilometers from Ryan's house. How much farther does Marsha live from the middle school than Ryan? Group of answer choices

Answers

Answer:

1.18 kilometers

Step-by-step explanation:

The middle school is 2.72 kilometers from Marshal house

The school is also 1.54 kilometers away from Ryan house

Therefore the distance of Marshal house from the school can be calculated as follows

= 2.72-1.54

= 1.18 kilometers

3 in
The volume of
the figure is
cubic in.
6 in
3 in
3 in
7 in
16 in.

Answers

Answer:

6in is the cubic volume

Step-by-step explanation:

If I'm wrong just correct me

A community group sells 2,000 tickets for its raffle. The grand prize is a car. Neil and 9 of his friends buy 10 tickets each. When the winning ticket number is announced, it is found to belong to Neil's group. Given this information, what is the probability that the ticket belongs to Neil?

Answers

Answer:

1/10 if its is in the group

Step-by-step explanation:

but if its as the whole thing it would be 1/200 because he has 10  and 10 of 2000 is 1/200

The probability that the winning ticket belongs to Neil is 5%.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

There are a total of 2,000 tickets, and Neil and his 9 friends bought 10 tickets each, so they bought a total of 100 tickets (10 tickets/person x 10 people = 100 tickets).

The probability of Neil's group winning the car is equal to the number of tickets they bought divided by the total number of tickets sold:

Probability = Number of tickets bought by Neil's group / Total number of tickets sold

Probability = 100 / 2000

Probability = 0.05 or 5%

Therefore, the probability that the winning ticket belongs to Neil is 5%.

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Question 3(Multiple Choice Worth 4 points)


(05.01)The graph shows the distance a car traveled, y, in x hours:


A coordinate plane graph is shown. The x-axis is labeled time in hours ,and the y-axis is labeled distance in miles. The line passes through the points 2 comma 60, and 4 comma 120.


What is the rise-over-run value for the relationship represented in the graph?


20

30

1 over 20

1 over 30

Answers

Answer:

hello there,

the answer for this question would be 30

Step-by-step explanation:=

Given: The x-axis represents the time in hours and the y-axis represents the distance in miles.  

The line passes through the points  and  

To find: The rise-over-run value for the relationship in the graph.

m=rise over run

=y2-y2/x2-x1

=120-60/4-2

= 60/2

= 30

Hope this helps. if correct please make me brainliest

thank you,

have a good day!!

Find x and y
(y+23)
(2x-17)

Answers

Answer:-2

Step-by-step explanation:

Top one should be 40 and bottom should be 67
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