The arithmetic sequence 1, 3, 5, 7, 9,. . . Represents the set of odd natural numbers. What is the explicit rule for the sequence? ak = (k - 1).

Answers

Answer 1

The explicit rule for the sequence is Tn = 2n - 1

Given the sequence 1, 3, 5, 7, 9...

The explicit formula for the nth term is expressed as:

[tex]T_n=a+(n-1)d[/tex]

a is the first term = 1

d is the common difference = 3 - 1 = 5 - 3 = 2

n is the number of terms

Substitute the given parameters into the formula to have;

[tex]T_n = 1+(n-1)(2)\\T_n=1+2n-2\\T_n=2n-1[/tex]

Hence the explicit rule for the sequence is Tn = 2n - 1

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Answer 2

Answer:

1st: 1+(k-1)2

2nd: 399

3rd: C

4th: 40,000


Related Questions

Find the equation of the line with slope m = 4/5 that contains the point (10, 11)

Answers

Answer:

Point slope : y = 4/5(x-10)+11

Slope intercept : y = 4/5x + 3

Step-by-step explanation:

Use Point slope

y = 4/5(x-10)+11

Simplify for slope intercept

y = 4/5x + 3

Find the area of the similar
figure.
18cm
15cm
Area = 50cm2
Area = [?]cm2
-

Answers

Answer:

270

Step-by-step explanation:

Name
Lily Daku November 17, 2021 pec
Common Core Standards Practi
Selected Response
co
1. Find the slope of the line that
passes through the points (-1,9)
and (3, 17).

Answers

Slope formula: (y2 - y1/x2 - x1)

Substitute

(9 - 17/-1 - 3) = 2

what year was it, exactly 4 centuries before 1965?

Answers

Based on the number of years in a century, we can calculate that the 4 centuries before 1965 was 1565.

A century refers to a period of 100 years.

If we are looking for a period of 4 centuries therefore, this would be:

= 4 x 100

= 400 years

4 centuries before 1965 would therefore be:

= 1965 - 400

= 1565

In conclusion, the answer is 1565.

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PLEASE HELP ITS URGANT WILL MAKE BRAINLIEST PLEASE HELP MEEE

Answers

Answer:

A is the answer

Step-by-step explanation:

look at the attached image

5x - 3 + 7y
x= 3 y= -7

Answers

The answer is -37! You would substitute the numbers you were given for the variables so the equation would become 5(3) -3 + 7(-7)

Is the system of equations consistent and independent,
consistent and dependent, or inconsistent?
y= -1/2x +3
y= 4x + 2
Select the correct answer from the drop-down menu.
Choose

Answers

Answer:

Consistent and independent

Step-by-step explanation:

If two lines intersect, then the following things are true.

1. they have different slopes.

2. one solution.

3. The system of equation is consistent and independent

O 8) Translate the point and give the resulting coordinates.
(-9,6); (5,-2)

Answers

Answer:

- 4/7

Step-by-step explanation:

The resulting point is 5 units right and 2 units down, and the resulting coordinates are (- 4, 4).

Used the concept of coordinate that states,

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

The coordinate is (- 9, 6) and (5, - 2).

Now the value of the resulting coordinate is found as,

(- 9 + 5, 6 - 2)

= (- 4, 4)

Therefore, the resulting point is 5 units right and 2 units down, and the resulting coordinates are (- 4, 4).

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#SPJ3

A right triangle is formed using point C and H as two of the vertices. Which point best represents the coordinates for point X, the third vertex of a triangle?

Answers

Answer:

um probably something like CX and HX

Step-by-step explanation:

no graph

aidan runs every morning before he goes to work.on Sunday,he ran 0.54km, on Monday he ran 1.25km,on Tuesday he ran 1.50km, on Wednesday he ran 1.75km and on Thursday he ran 2.30km.His goal was to run10km in these five days.dis aidan meet his goal?how long did he run?estimate and find the solution. ​

Answers

Answer:

no

Step-by-step explanation:

0.54 rounded to the nearest one is 1

1.25 is 1

1.50 is 1

1.75 is 2

2.30 is 2

all that added would give you 7 which is less than 10

the exact number is also 7.34

Elisha is renting a limo to take her friends out for her birthday. The limo company charges a reservation fee of $129 and $65 per hour. Her total bill was $584. Write and solve an equation to find the number of hours, h, Elisha rented the limo

Answers

65h+129=584
584-129= 455
455/65= 7 hours she rented the limo

Define suitable populations from which the following samples are selected: (a) Persons in 200 homes in the city of Richmond are called on the phone and asked to name the candidate they favor for election to the school board. (b) A coin is tossed 100 times and 34 tails are recorded. (c) Two hundred pairs of a new type of tennis shoe were tested on the professional tour and, on average, lasted 4 months. (d) On five different occasions it took a lawyer 21, 26, 24, 22, and 21 minutes to drive from her suburban home to her midtown office.

Answers

Using sampling concepts, it is found that the suitable populations are:

a) All Richmond residents.

b) Results of all coin tosses.

c) All pairs of the new type of tennis shoe.

d) The average time on all days is takes to drive from her suburban home to her midtown office.

An example of sampling is asking a sample of 500 Buffalo Bills fans if they think their offense should run the ball more.

The population is all Buffalo Bills fans.

Hence, following the example, first identifying the sample and then expanding it for the population the items are answered.

Item a:

Sample of 200 Richmond homes, hence, the population is all Richmond residents.

Item b:

Sample from the results of 100 coin tosses, hence the population is the results of all coin tosses.

Item c:

Sample from 200 pairs of the new tennis shoe, hence the population is all the pairs of this new tennis shoe.

Item d:

Sample for the time it took to drive from her suburban home to her midtown office of 5 days, hence, the population is the time for all days.

A similar problem is given at https://brainly.com/question/25122507

Which shows the equation below written in the form ax2 + bx + c = 0?
x + 9 = 4(x-1)2
A. 4x2 - 7x+ 13 = 0
B. 4x2 - 9 x 13 = 0
C. 4x2 - 7x- 5 = 0
D. 4x2 - 9x-5= 0
SUBMIT

Answers

Answer: D. 4x2-9x-5=0

Step-by-step explanation:

Short response: the table shows the balance of a student bank account at various times estimate how much money is in the student bank account in week 6. justify your answer. HELP ME PLS.BRAINLIEST

Answers

Answer: It would be 102

Step-by-step explanation:

100 if u get this right!

Answers

2 because it is the number being added to the zero intercept in the equation

Answer:

●y = mx + c

c = intercept

y = 9x + 2

intercept c =2

The density of silver is 9 g/ cm3ale members of a sports club is 7 : 3. The total number of members of the group is 250. How many members are female? How many members are male?

Answers

Answer:

648

Step-by-step explanation:

2=2

HELPPPPP ASAP!!!! I’m on a limit

Answers

Answer:

look at the photo.........

Find the volume of the figure. Round your final answer to the nearest hundredth if necessary.

Answers

Answer:

Look at the photo I have sent

simplify 1 by 4 plus 1 1 by 4 plus 1 2 by 5​

Answers

Solution:.[tex] \frac{1}{4} + \frac{11}{4} + \frac{12}{5} \\ = \frac{1 \times 5 + 11 \times 5 + 12 \times 4}{20} \\ = \frac{5 + 55 + 48}{20} \\ = \frac{108}{20} \\ = 5 \frac{8}{20} \\ = 5 \frac{2}{5} [/tex]Answer:

[tex]5 \frac{2}{5} [/tex]

Hope it helps.

Do comment if you have any query.

Answer:

5 2/5

Step-by-step explanation:

what is the difrence between domain and range

Answers

Answer:

Domain is the set of all possible input values is any relation. It means the output value in a function depends upon each member of domain. Domain value vary in different mathematical problems and depends upon the function for which is it solved. If we talk about cosine, then domain is the set of all possible real numbers either above the 0 value or below the 0 value, it could also be 0. While for square root, the domain value could not be less than 0, it should be minimum 0 or above 0. In other words, you can say that domain of square root is always 0 or positive value. For complex and real equations, the domain value is a subset of complex or real vector space. If we want to solve a partially differential equation for finding the value of domain, then your answer should lie within three dimensional space of Euclidean geometry.

Step-by-step explanation:

PLSS HELP ASAP ILL GIVE BRAINLIEST PLS THANKS

Answers

4.7 is the correct answer

. You want to buy a book worth Php 220.50. You can buy it only by making a sacrifice of not buying a soft drink every day. If soft drinks in your school cost Php15.75, how many days do you need to save before you can buy the book? * A. 13 B. 14 C. 15 D. 16

Answers

Answer:

B-14

Step-by-step explanation:

Divide 220.50 by 15.75 and you will get 14

Hope it can help you lovelots

Find the length x. Round to the nearest tenth.

A.) 3.4
B.) 9.4
C.) 3.6
D.) 6.6

Answers

Answer:

A

Step-by-step explanation:

Mark brainliest please

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

The width is 21 centimeters.

Answer:

the answer is 21 cm

Step-by-step explanation:

as doing by formulae

Find the perimeter. Simplify the answer.

Answers

Answer:

21u-26

Remember to add like terms

If you want to save $4500 to go to the Super Bowl, how much will you need to invest in an account now with 6.25% APR, compounding continuously, in order to reach your goal in 4 years? (Round to the nearest dollar)

Answers

if you want to save 4500 to go to the super bowl you will need to invest in 720$

-2+3y=9 ; y=2x+7 i need help

Answers

Answer:

Here is your 2 answers.

Step-by-step explanation:

First question: -2+3y=9

step 1 simplify first so now it's 3y-2

step 2 add both sides by 2 now its 3y=11

step 3 divide both sides by 3 so on the left both sides should cross out leaving only y=11/3 so this is your first answer

Second question:

I attach the link this question acquires a graph to plot I believe so here is the answer for the second one hope I help please mark brainliest if I did! <3

helppp,no links or spam

Answers

Answer: 6.45 x 10^10

Step-by-step explanation:

Because 10^5 and 10^4 both have 10, we can add the exponents to get 10^9.

Multiplying 7.5 and 8.6 gets you

7.5 * 8.6 = 64.5

We can move the decimal up a place to get 6.45 and add another power to 10^9 to get 10^10

Your final answer should be 6.45 x 10^10

Answer:

C 6.45x 10 to the power of 10

Step-by-step explanation:

10 to the power of 5 is 100,000. 7.5x100,000 is 750,000.

10 to the power of 4 is 10,000.

10,000x8.6 is 86k

now we do 750,000x86,000 which is 64,500,000,000

10 to the power of 10 is 10 billion times 6.45 is 64,500,000,000

1.) solve for x: 4x+9=25

2.) solve for x: 5x+12=62

Answers

1 4x+9=25 Answer: x=4
2: 5x+12=62 Answer: x=10

Answer:

1. x=4

2. x=10

Step-by-step explanation:

4x+9=25

Subtract 9 from both sides.

4x+9-9=25-9

>>4x=16

Then, divide 16 by 4.

x=16/4

>>x=4.

5x+12=62

Subtract 12 from both sides.

5x+12-12=62-12

>>5x=50

Divide 50 by 5.

x=50/5

x=10.

Hope this helps! Have a great day!

how many kilograms of pure water is to be added to 100 kilograms of a 30% saline solution to make it a 10% saline solution

Answers

Answer:

  200 kg

Step-by-step explanation:

If w is the amount of water added, then the concentration of the solution is ...

  salt/solute = 100(0.30)/(100 +w) = 0.10

  30 = 10 +0.10w . . . . . simplify

  20 = 0.10w . . . . . . . . subtract 10

  20/0.10 = w = 200 . . . . divide by 0.10

200 kg of water must be added to dilute the solution to 10%.

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