Recursive & Explicit Definitions
Consider the sequence:
2, 6, 18, 54, 162,

Determine the 15th term of the sequence.

9.565,938
3,188,646
2.430
28.597,814

Answers

Answer 1

Answer:

[tex]T_{15} = 9565938[/tex]

Step-by-step explanation:

Given

Sequence: 2, 6, 18, 54, 162,

Required

Determine the 15th term

The above sequence is a geometric sequence. So, first, we calculate the common ratio (r)

[tex]r = \frac{T_2}{T_1}[/tex]

[tex]r = \frac{6}{2}[/tex]

[tex]r = 3[/tex]

The 15th term is calculated as thus:

[tex]T_n = ar^{n-1}[/tex]

Where

[tex]a = 2[/tex] and [tex]n = 15[/tex]

[tex]T_n = 2 * 3^{15-1}[/tex]

[tex]T_n = 2 * 3^{14}[/tex]

[tex]T_{15} = 2 * 4782969[/tex]

[tex]T_{15} = 9565938[/tex]

The 15th term is 9,565,938


Related Questions

(6, -12), (15,-3)
slopeee

Answers

The answer is
M=1
Your welcome:)

need help asap plzzzz

Answers

The answers for this question is D

5) Brayden traveled 3 miles by'a bus, 25 miles by a train, 9 miles by a van, 30 miles
a car, 9 miles by a bike and walked 2 miles to visit few historical monuments..
Mean:
Median :
Mode :
Range :

Answers

Answer:

answer in explanation

Step-by-step explanation:

Mean: 13

Median: 9

Mode: 9

Range: 28

The mean,median,mode and range of the data will be 13,9,9 and 28.

How to find the mean of a data set?

Mean is the ratio of the sum of the values of the data set to the total number of values available in the data set.

Thus, we get;

[tex]\rm Mean = \dfrac{\text{Sum of the observations of the data set}}{\text{Total number of observations}}[/tex]

[tex]\rm Mean= \frac{3+25+9+30+9+2}{6} \\\\ Mean=13[/tex]

Arrange the data in the ascending order;

2,3,9,9,25,30

The median of the data set is;

[tex]\rm Median = \frac{9+9}{2} \\\\ Median =9[/tex]

Mode is the value appear most of the time in the data set;

9 is the number repeat two times in the data set.

Mode = 9

Range of the data is the difference of the maximum and the minimum value;

Range=30-2

Range=28

Hence,the mean,median,mode and range of the data will be 13,9,9 and 28.

Learn more about mean refer;

https://brainly.com/question/16118626

#SPJ2

can any one figure this out plz

Answers

Answer:

(a)(b)=0.45

a/b=0.8

Step-by-step explanation:

a=0.6

b=0.75

(a)(b)=(0.6)(0.75)=0.45

a/b=0.6/0.75=0.8

Answer:

a*b =  0.5

a/b =  0.888...

Step-by-step explanation:

0.6666... = 2/3

a*b = 2/3 * 3/4 = 1/2 = 0.5

a/b = (2/3) / (3/4) = 8/9 = 0.888...

what is the sum if u add (-6) and (+9)?

Answers

Answer:

it's 3

Hope it helps

Have a good day

has 8AM to the United kingdom in electricity for a second consecutive month to sex with the imposter

Which is a solution to the inequality y > 2 + 9x? Select all that apply.

Answers

Answer:

Select any point in the red part of the graph

Step-by-step explanation:

y > 2 + 9x

Given the parent function f(x) = x3 give the best description of the graph of .
a.
translated up 3 units
c.
translated left 3 units
b.
translated down 3 units
d.
translated right 3 units



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

Answer: A

Step-by-step explanation:

Is this non linear or linear sorry i couldn't fit the whole thing​

Answers

linear.. as x increases by one, y increases by one

The number of calories burned by a 90-pound cyclist is proportional to the number of hours the cyclist rides. The equation to represent this relationship is y = 225x. What is the constant of proportionality?

A:135

B:225

C:315

D:90

Answers

Answer:

The constant of proportionality is 225

Step-by-step explanation:

Given

[tex]y = 225x[/tex]

Required

Determine the constant of proportionality (k)

A direct proportion is represented as:

[tex]y = kx[/tex]

Where k is the constant of proportionality

By comparing:

[tex]y = kx[/tex] to [tex]y = 225x[/tex]

Hence:

[tex]k = 225[/tex]

what is the answer to this 2x - 5 = 7

Answers

Step-by-step explanation:

2x - 5 = 7

2x = 7 + 5

2x = 12

x = 12 / 2

x = 6

Hope it will help :)

Which expression is equivalent to 2(5 – 3x)? 10 - 5x B B) 10 - 6x 0 7 - 5x D) 7 - 6x​

Answers

Answer:

B) 10-6x is the answer ...

A rectangle has a length of (5x+2) and a width of (3x-7). Find the perimeter of the rectangle.

Answers

Answer:

Perimeter = 2(5x-2)+2(3x-7)

Step-by-step explanation:

The perimeter (P) of any rectangle can be represented in terms of length (L) and width (W) with the equation P=2L+2W.

You multiply the length and width of the rectangle by two, since it's only giving one expression for the length and width.

Hope this helps!

There is a box of cards in front of you with 9 heart cards, 4 spade cards, 7 club
cards, and 8 diamond cards. What is the probability of selecting a heart, not
replacing it, then selecting a spade, not replacing it, and on the third pick,
selecting a card that is not diamond? *

Answers

Answer:

heart cards 9/28

spade cards 4/27

diamond card 18/26

Step-by-step explanation:

you have 9 heart cards in all and 28 in all

take one heart out and not replacing you have 27

you have a 4/27 chance of getting spade because you have 4 spades out of 27 cards

now you have 26 cards from taking the one spade & heart out you have a 8/26 chance of getting diamond but a 18/26 chance of getting any other card

im sorry i dont know

Please answer this correctly without making mistakes

Answers

Answer:-111

and -99

Step-by-step explanation:

Answer:

-111 and -99 ( in order)

Step-by-step explanation:

Have a great day!

the exponent portion of a scientific number can be less than 1 true or false​

Answers

Answer:

True

have a nice day!!

A 17 foot ladder is placed against a vertical wall so that the base of the ladder is 8 feet from the base wall how far up the wall does the ladder reach

Answers

Answer:

Your answer......15 feet

WANT MORE THEN FOLLOW ME, LIKE & MARK MY ANSWER AS BRAINLIST ANSWER


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

m = 2  b = 10

y = 2x + 10

Positive Slope

Step-by-step explanation:

Answer:

Explanation:

m = -2 and b = 10

Equation:

y = -2x + 10

Negative slope

help quick plzzz!!!!
What is the quotient of 3/5 = 1/10? Solve using the number line and then select your answer on the next slide

Answers

Answer:

you would mark at 3/5.

Step-by-step explanation:

because 3/5 divided by 1/10 is 6.

then you would convert that to a decimal then fraction and that would end up being 3/5

What is the first step to solve for 7 − 4 = 18? *


A. Add -7 on both sides of the equation

B. Add 7 on both sides of the equation.

C. Multiply -4 on both sides of the equation.

D. Multiply on both sides of the equation.​

Answers

A is the best answer

What is the distance from X to Y?

A. 15 units
B. 3 units
C. 225 units
D. 21 units​

Answers

Answer:

15, A

Step-by-step explanation:

(0,6) (9,-6)

distance formula =

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

lets put our numbers

[tex]d= \sqrt{(0 - 9)²+(6+ 6)² }[/tex]

so answer will be = 15, A

The answer is A 15 units

Please hurry. It’s due in 20 minutes

Answers

Answer:

root(x+6) +3

Step-by-step explanation:

so you see that it is moved 2 left and 5 up

so root (x+6) +3

what is the value of 3-6(z-2) if z=-2

Answers

Answer:

27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

3 - 6(z - 2)

z = -2

Step 2: Evaluate

Substitute in z:                   3 - 6(-2 - 2)(Parenthesis) Subtract:      3 - 6(-4)Multiply:                              3 + 24Add:                                    27
Given :

z = - 2

To Find :

3 - 6(z - 2) = ?

Solution :

By substituting value of z = - 2 in 3 - 6(z - 2), we get :

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6((-2) - 2)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6(-2 - 2)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 - 6(- 4)[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 3 + 24[/tex]

[tex] \tt : \implies 3 - 6(z - 2) = 27[/tex]

[tex] \large \underline{\boxed{\bf{ 3 - 6(z - 2) = 27}}}[/tex]

Hence, value of 3 - 6(z - 2) = 27.

simplify the numerical expression, expressing the answer in reduced form:

3/5*5/7+2/3*3/5-1/7*2/5=

Answers

27/35 will be your answer

What is a translation (math)

Answers

Answer:

Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized. In a translation, every point of the object must be moved in the same direction and for the same distance.

Step-by-step explanation:

Hope that helped :)

Answer:

"Sliding": moving a shape without rotating or flipping it.

The shape still looks exactly the same, just in a different place.

Step-by-step explanation:

In Euclidean geometry, a translation is a geometric transformation that moves every point of a figure or a space by the same distance in a given direction. A translation can also be interpreted as the addition of a constant vector to every point, or as shifting the origin of the coordinate system.

In \triangle UVW,△UVW, \overline{UV}\cong \overline{WU}
UV

WU
and \text{m}\angle W = 31^{\circ}.m∠W=31

. Find \text{m}\angle U.m∠U

Answers

Answer:

Hi how are you doing today Jasmine

In triangle UVW, If m∠U = m∠W of a triangles then m∠U = 74.5° when m∠W=31°

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

The sum of all angles of a triangles should be equal to 180 degrees

Given that the angles opposite UV and VW are congruent.

So ΔUVW is an isosceles triangle.

Which is nothing but m∠U = m∠W

Since the measures of the angles of a triangle have a sum of 180, then

m∠U + m∠W + m∠V = 180

m∠U + m∠U + 31 = 180

Subtract 31 from both sides

2 m∠U = 180-31

2 m∠U =149

Divide both sides by 2

m∠U =74.5°

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

A line passes through the points (0, 2) and (1, 8). What is its equation in slope-intercept form?

Answers

Answer:

y=6x+2

Step-by-step explanation:

y=mx+b

-the y and x are variables and your going to want to leave them that way.

-m is the slope

-b is the y-intercept

after plotting your points and drwaing a line through them you get your final equation

The histogram shows the results of a drivers' education exam.
10
9
8
Frequency
3
2
1
0
0
10
20
30
70
80
90 100
40 50 60
Grade
What percent of the students score between an 80 and 90 othe drivers' education exam?
O 9%
O 10%
45%
90%

Answers

The answer is 10% I think

please helo my screenshot below

Answers

Answer:

0.0451

Step-by-step explanation:

Answer:

451/10000 or 0.0451 in decimal form

Step-by-step explanation:

Hope this helps :)

What does the caste system stand for?

Answers

A caste system is a class structure that is determined by birth. Loosely, it means that in some societies, if your parents are poor, you're going to be poor too. The same goes for the rich.

vjbhuykbhjbhn gukbjh hkjbnm

Answers

KSIEOSWOAPWPDOSPWJSISAOOAPAW
Other Questions
help, please...ThanksWhy Did Roosevelt want to cause inflation? please fill out the questions on the right, i will do the graph Zane buys a standard class train ticket. He uses a 15% discount voucher. The standard class price is 34.00How much money does he save with this voucher? Factorize completely 80p2 - 180r2 What are the center and radius of the circle described by the equation x2 + y2 + 6x + 10y +18 = 0? Describe the split in the Muslim community caused by Muhammads death. plz make this one paragraph ;-; For the current year, Harry reported salary and taxable interest income of $50,000. His capital asset transactions during the year were as follows: Long-term capital loss ($5,000) Long-term capital gain $1,000 For the current year, what amount should Harry report as adjusted gross income Compare the reactivity of magnesium and calcium explain the difference Find any domain restrictions on the given rational equation 2/3x^2 + x/2 =x+5/x select all that apply a. X=0. B. X=2. C. X= -5. D. There are no restrictions on the domain Hey Friends...Please answer All this questions correctly...If your answer is right then I'll mark your answer as brainliest..And if It's wrong then that answer will be reported!! Pls help me!! I will give 35 points and mark brainliest !!! Help please and thank you Christine bought 4 CDs that were each the same price. Including sales tax, she paid a total of $54.40. Each CD had a tax of $1.30. What was the price of eachCD before tax? Please help.Algebra. Ank estimated that he drove about 450 miles in a week. He actually drove 485 miles. Find the percent error in Hank's estimate. Round to the nearest whole percent. Persias most valuable asset Plz help me and if u dont know dont answer. If ur right Ill give brainliest If e=mc2 then what does f equal? just jokes but if you do it i will give brainlyest 5. Ms. Peterson earns $18 per hour as a softball team coach and $25 per hour as a math tutor. Last week, she workedboth jobs for a total of 30 hours and earned a total of $610. How long did she do each job? Talk about how you can use math in your everyday life after high school