Question 1
1 pts
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
A. an
4n + 29
B. an
25 +(-4)(n-1)
C. an = -25 +(-4)(n-1)
D. an
= 4 + 25
Edit
View
Insert
Format
Tools
Table

Answers

Answer 1

Answer:

The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]

Step-by-step explanation:

Given sequence is:

25, 21, 17, 13,...

Here

a1 = 25

a2 = 21

a3 = 17

First of all we have to determine the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence.

So,

[tex]d = a_2 - a_1 = 21-25 = -4\\d =a_3-a_2 = 17-21 = -4[/tex]

The explicit formula is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

Putting the value of a1 and d

[tex]a_n = 25 + (n-1)(-4)\\a_n = 25-4n+4\\a_n = 29-4n[/tex]

Hence,

The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]


Related Questions

Match each equation to the situation it represents
1st one says Leilah
2nd one says Stetson​

Answers

Answer:

leiah has not yet studied......          =    2400 - 40x = 600

stetson rests studios spaces......   =    40x - 600 = 2400

a kit contains....                               =.    (600 + 40) x = 2400

Step-by-step explanation:

that might make it a bit easier

What is the 21st term of the sequence with a1 = -6 and d = 4?

Answers

Answer:

answer is 74

Step-by-step explanation:

-6+4 x 20

- 6+80=74

What point is on both lines y = 1/2x + 3 and y = x +1?

Answers

Answer:

(4,5)

Step-by-step explanation:

(4,5) is your answer hope it helps

According to the 2014 national population projections published by the U.S. Census Bureau, the U.S. population is projected to be 334.4 million in 2020 with an estimated growth rate of 0.79% per year. Assuming the growth rate remains constant, find the projected population in 2050.

Answers

Answer:

423,437,744

Step-by-step explanation:

Given that :

Projected population in 2020 = 334.4 million

Estimated growth rate (r) = 0.79%

Projected population in 2050 ;

Using the exponential growth function :

Estimated value = initial value(1 + growth rate)^time

Initial value = i

Time = 2020 - 2014 = 6 years

334.4 = i(1 + 0.0079)^6

334.4 = i(1.0079)^6

334.4 = i2.43087455521E−13

i = 3.189786E8

Initial population = 318. 978 million

Estimated Population in 2050:

2050 - 2014 = 36

Projected population = 3.189786E8(1.0079)^36

Projected population = 3.189786E8*1.3274801

= 423437743.82586

= 423437744 million

Find the angle measure “X”. Round to the nearest
hundredth.
X
15
1

Answers

Answer:

if you want 400 points i suggest yu let this one fly

Step-by-step explanation:

If f(1) = 10, what is f(3)?

Answers

Answer:

30

Step-by-step explanation:

multiply each f by the same root numeral

Rewrite in simplest terms: -2(9t-3)-10t

Answers

Answer:

- 28t + 6

Step-by-step explanation:

-18t + 6 - 10t

- 28t + 6

so do yall know this?

Answers

Answer:

Length: meter

Mass: Kilogram

Volume of a solid: Cubic meter

Volume of a liquid: Liters

Temperature: Degree Celsius

Time: second

The formula for calculating density:

[tex]p = \frac{m}{v} [/tex]

Answer:

Look below! Have a wonderful day! Happy Holidays! :) Hope I helped!

I believe the formula of calculating Density is

p = m/v

Length is Meter

Mass is Kilogram

Volume of a Solid is Cubic Meter

Vloume of a Liquid is Liters

Temperature Degree Celsius

Time is Second

plleaasseee hurrry need help now​

Answers

Answer:

107º

Step-by-step explanation:

Okay, if 135 is adjacent to an ungiven side, then to find that, you subtract 135 from 180.

180 - 135 = 45

So the other side is 45. Now we find the last unknown given side, and since we know 180 degrees is the sum of the degrees in a triangle, we do:

28 + 45 + x = 180

73 + x = 180

Subtract 73 on both sides you get,

x = 107.

Measure DEF is 107.

For a school project, Max made a pyramid using 587 sugar cubes. On his way to school 34 of the sugar cubes fell off. When he got to school his friends took 18 more cubes off the pyramid to eat.
Estimate how many sugar cubes remain on Max's pyramid.

Answers

Answer:

535

Step-by-step explanation:

587-34-18=

535

Answer:

550

Step-by-step explanation:

just is the answer

Simplify the expression. (Use the Distributive Property)
4(2c - 2)

Answers

Answer:

4(2-2c)

Step-by-step explanation:

because you switch it around

Answer:

-1

Step-by-step explanation:

times 4 by 2c and 4 by -2

8c and -8 then you divide by each other and get -1

how many solutions are there to the equation below
6x+30+4x=10(x+3)
a)0
b) infinitely many
c) one​

Answers

Answer:

b) infinitely many

hope it helps

In a small private liberal arts college, 40 percent of the students receive financial aid, and 30 percent of the students that receive financial aid also are first generation college students. In addition, 25 percent of the students in the college own a hybrid car. What is the probability that a randomly selected student receives financial aid and is first generation college student

Answers

Answer:

P(A∩B) = 0.12

Step-by-step explanation:

Given:

Students receive financial aid P(A) = 40% = 0.4

Students receive financial aid and first generation P(B/A) = 30% = 0.3

Find:

Probability [Selected student receives financial aid and is first generation college student] P(A∩B)

Computation:

P(A∩B) = P(A) x P(B/A)

P(A∩B) = 0.4 x 0.3

P(A∩B) = 0.12

A grocery store sells steak for $6.10 per pound. What would be the cost of 2 lb of steak?

Answers

Answer: 12.20

Step-by-step explanation:

because if 6.10 is the amount for one pound, then if u need 2 pounds, then multiply 6.10 with 2.

Does this graph represent a function? Why or why not?

Answers

No because I ain’t no simp!!

Help me I’m not sure the answe

Answers

Answer:

i believe it would be the last option.

Step-by-step explanation:

14) (-3k – 1) + (7 + 2k)
Help

Answers

Answer:

-k+6

Step-by-step explanation:

The perimeter of the parallelogram is 30 feet. Find m.

Answers

m=11

Step-by-step explanation:

the top side is 4, so that means the bottom side will also be 4, add them both, you get 8, 30-8 = 22, 22/2 = 11, m=11

Answer:

3

Step-by-step explanation:

2(4m + m) = 30

8m + 2m = 30

10m = 30

Divide by 10 on each side

m = 3


Check:

2 ( (4 x 3) + 3) = 30

2 ( 12 + 3) = 30

24 + 6 = 30

30 = 30

Hope this helps! :)

How much warmer is 82 than -40?

Answers

Answer:

-42 degrees

Step-by-step explanation:

-40-82=-42

the first row in a pattern of the 5 tiles.each row after the first had 2more tiles

Answers

Answer:

whats the question?

Step-by-step explanation:

Y=-1/4x +9 what is the slope and y - intercept

Answers

Answer:

Step-by-step explanation:

The equation is y = Mx + b

so the slope is -1/4 and the y intercept is (0,9)

Help me quickkkk please

Answers

Answer:

with? i dont see any pic

If a is half b , and b is twice c , then a:c=​

Answers

Answer: a/c = 1

a/b = 1/2 => a = 1/2 .b

b/c = 2 => c = 1/2 .b

=> a/c = (1/2.b)/(1/2.b) = 1

Step-by-step explanation:

If a is half b, and b is twice c, then the fraction a:c will be 1.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

In another word, if we divide two numbers by each other then the upper word is called the numerator, and the lower word is called the denominator.

As per the given,

a is half b ⇒ a = b/2

b is twice c ⇒ b = 2c

By substitution,

a = (2c)/2

a = c

a:c = 1:1 = 1

Hence "If a is half b, and b is twice c, then the fraction a:c will be 1".

For more about fractions,

https://brainly.com/question/10354322

#SPJ2

Your parents gave you $200 to spend on a weeklong school trip. You have budgeted $25 per day for snacks and souvenirs. Write an equation that represents this situation

Answers

Answer:

200- 25d

Step-by-step explanation:

d equals number of days on the trip

please help me if you can, just click on the photo and you’ll see the question

Answers

Answer:

18.

Step-by-step explanation:

If you divide by something less than 1, it'll wind up being more than what it was before.

Please answer this ASAP

Answers

9514 1404 393

Explanation:

1. ∠BAC ≅ ∠BCA, BD ≅ BE, ∆BDA and ∆BEC are right triangles . . . . given

2. ∆ABC is isosceles . . . . definition of isosceles triangle

3. BA ≅ BC . . . . definition of isosceles triangle

4. ∆BDA ≅ ∆BEC . . . . HL theorem

5. AC ≅ CE . . . . CPCTC

DF bisects EDG. Find FG. The diagram is not to scale.

Answers

n + 5 = 2n - 6

n - 2n = -6 - 5

-n = -11

n = -11/-1

n = 11

FG = 2n - 6

FG = 2(11) - 6

FG = 22 - 6

FG = 16

Wait times for a bus follow a uniform distribution over the interval 0 to 10 minutes. Determine the probability that a person will wait between 4.0 mi

Answers

Answer:

P(x=4) = 0.4

Step-by-step explanation:

The density function of a continuous r.v is called a uniform distribution when between the end points any two sub intervals of the same length containing X, have the same probability.

f(x)= 1/ b-a          a≤ x≤ b

Here a = 0 and b= 10  but we want to know the probability of wait time between 4 minutes and 10 minutes

P (X=x) = (x-a) 1/(b-a)

P(x=4) = (4-0) 1/ 10-0

          = 4/10= 0.4

use the coordinates of the labeled points to find the point slope equation of the line (3, -5)

Answers

Answer: y + 5 = -3(x-3)

Step-by-step explanation:

Whats 40% as a decimal and just a normal convo between me and my Childhood Bestfriend.

Answers

Answer:

0.4

Step-by-step explanation:

40% is 0.4

Remember the tenths places

Hope this help:)

If it does please subscribe To Rilo Productions

Other Questions
can i get the answer. If i do I will get into harvard Given h(x) =-9-x find h(2k-5)=? a triangle has a base of 15 feet and height of 9.5. what is the area of the triangle HELP ILL GIVE BRAINLIEST I NEED IT ASAPI NEED THESE 2 QUESTIONS What is one way the body lowers its temperature? -3x -10=32can anybody help me Solve the following 1. 6(22-17)+(33)2. If Kate's Flight lasts 12 hours and she had already traveled 7 miles in 1 hour how many miles does she have left to travel Do you think tattoos are "mainstream" ? Explain Determine the product of 2.54 and 6.3 This substitution score matrix called _____ is derived from protein families that are characterized by blocks of conserved amino acid sequences. what is 3 divided by 1/6? Does the graph represent a function? Why or why not?A. No, because it fails the horizontal line test.B. Yes, because it passes the horizontal line test.C. Yes, because it passes the vertical line test.D. No, because it fails the vertical line test. Engine 1 produces twice the power of engine 2. If it takes engine 1 the time T to do the work W, how long does it take engine 2 to do the same work?Express your answer in terms of some of all of the variables T and W.T2=________________ In the diagram below, what is the approximate length of the minor arc DE?A. 19.7 cmB. 11.8 cmC. 47.1 cmD. 23.6 cm Please help I just relized that my dumb self waited 35 min for her science class to start but the class didnt start bc i missed math so i need to do thisss nowww my mother is so strictttt Two artillery bases are located at the points A and C represented in the figure. Each of the bases locates an enemy airplane at point B. The base at A measures the angles of elevation to the airplane to be 95 and the distance between the two bases is 739 meters. If the distance from the base at C to the plane is 2,517 meters, what is the measure, in degrees, of CBA? Josh is playing golf he has 1 white golf balls 2 yellow golf balls , 3 orange balls , 2 green golf balls in his golf bag at the first hole he randomly draws a ball from his bag , what is the theoretical probability of drawing a orange ball Evaluate the expression. 7 + 8 x 4 - 6 2 HELP ME WITH THIS PLEASE!!!!!!! A rose plant inherited two alleles for white flower petals.Which conclusion is best supported by the given information? Steam Workshop Downloader