Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) 1 2 , 1 4 , 1 6 , 1 8 , 1 10 , ...

Answers

Answer 1

Answer:

1•2n

Step-by-step explanation:

Given the sequence if numbers

1 2 , 1 4 , 1 6 , 1 8 , 1 10 , ...

You will see that 1 is common to all the numbers, the other part of the sequence are in arithmetic progression and they are

2,4,6,8,10...

The nth term of an AP is expressed as

Tn = a+(n-1)d

a is the first term

n is the number of terms

d is the common difference

a = 2

d = 4-2 = 6-4 = 8-6 = 2

Substitute into the formula

Tn = 2+(n-1)2

Tn = 2+2n-2

Tn = 2-2+2n

Tn = 2n

Hence the nth term of the sequence is 1•2n


Related Questions

an oil tank loses 32% of its contents every hour. Peter says the tank will have lost 95% of its original contents by the end of the sixth hour. Is peter correct

Answers

Answer:

it lose 90 percent in 3 hours so peter is incorrect

Step-by-step explanation:

Ariana went shopping for a new video game. The listed price of the video game was
$36, but the price with tax came to $37.08. Find the percent sales tax.

Answers

Answer:

I think it should be around 0.03%

Step-by-step explanation:

hope that helps:)))

Answer:

3%

Step-by-step explanation:

Jorge can travel 50 miles on his
motorized scooter using 1 gallon of gas.
How many miles can he travel using
8 gallons of gas?

Answers

Answer:

its c

Step-by-step explanation:

Answer:

400 miles

Step-by-step explanation:

50 miles.....1 gallon

x miles......8 gallons

50*8=400

please help ASAP 25 pts + brainliest, please show or explain answer

Answers

Answer:

B. .60

Step-by-step explanation:

With reference angle A

perpendicular (p) = 6

hypotenuse (h) = 10

Then

Sin A

= p/h

= 6 / 10

= 0.6

Answer:

Option B

Step-by-step explanation:

We know that

[tex] \sin( \alpha ) = \frac{side \: opposite \: to \: \alpha }{hypotenuse \: of \: triangle} [/tex]

where [tex] \ alpha [/tex] is an angle of a triangle.

In the triangle given above , [tex] \ alpha = angle A [/tex]. So,

[tex] \sin(a) = \frac{6}{10} = 0.60[/tex]

What percentage of the students surveyed eat no more than 3 whole servings of fruits and vegetables daily

Answers

Answer:

Step-by-step explanation:

The missing histogram file is attached in the image below.

From the graph, deduce that:

the servings of fruits and vegetable                     number of students

0                                                                             1

1                                                                             4

2                                                                             5

3                                                                             10

4                                                                             8

5                                                                             3

6                                                                             0

7                                                                             1

Thus, the percentage of students surveyed that eat more than 3 whole servings is:

= starting from 4 = (8+3+0+1)/32 = 0.375

Find the unknown angle measure by solving for the given variable.

Answers

Answer:

10 1/2

Step-by-step explanation:

On a coordinate plane, point A is 7 units to the left. Point B is at (0, 0). Point C is 7 units to the right. Point D is 7 units up .Point E is 7 units down.
Which point is located at (0, –7)?

Answers

Answer:

E

Step-by-step explanation:

The point (0, 7) in located in the 1st quadrant


Andrea paid $60.75 for 9 sandwiches. Each sandwich costs the same amount.
Use the drop down menus to write an equation for the price, p, of one sandwich.

P x _______=____??

Answers

Answer:

Px9=60.75

Step-by-step explanation:

List the number from least to greatest.

Answers

Answer:

1. $1430

2. $930

3. $1070

4. 105

   96

  -20

  -76

  -560

3/4 divided by 1/2 brainleist if answer

Answers

Answer:

1 2/4 (1 1/2)

Step-by-step explanation:

keep, change, flip is how you solve these kinds of problems

the 3/4 stays the same

you turn the ÷ into x

and flip the 1/2 (2/1)

so it becomes

3/4x2/1= 1 2/4 (simplified is 1 1/2)

put the numbers in
order
2.6
6.2
2.06
0.62​

Answers

Answer:

Put the numbers in

order

2.6

6.2

2.06

0.62​

Step-by-step explanation:

Answer:

If your looking for the answers from least to greatest it goes,

0.62, 2.06, 2.6, 6.2

Someone please help me with this question

Answers

Answer:

Jinsoul from Loona

Step-by-step explanation:

In order to solve this problem, you must do the famous math operation: Jinsoul from Loona

Have a nice day!

Pls help urgently extra points and mark brainlist easy reading

Answers

Answer:

isolated

Step-by-step explanation:

It means private, or isolated

make b the subject of the formula a=squareroot of b+16

Answers

Step-by-step explanation:

a=

[tex] a = \sqrt{b + 16} \\ a { }^{2} = b + 16 \\ b = a {}^{2} - 16[/tex]

Whoever answers it first gets the title brainliest.

Answers

Answer:

2.24

Explanation:

2.5 - 2.4 / 1.2(0.13) = 2.24

2.7.–2.5 = 6.75

A . agree

b. disagree; a negative times a negative is positive
C. disagree; a positive times a negative is negative.
PLEASE answer quick ​

Answers

The answer to this is about c

HELPPPPPPP PLEASSEEE

Answers

Waiting overnight

You should never wait overnight before making a big purchase if there is only one item left. Teens have cited ʺfriendsʺ as the strongest influence over their purchase decisions.

Answer:

the first one

Step-by-step explanation:

because my mom shop and she do not NEVER go to sleep it will mess up your purachase

PLS HELP PLSPLSPLS thank you!!!!

Answers

The correct is answer either c or b.
I think it is B?????

What c-value makes the set of ratios equivalent. HELP ASAP

Answers

Answer:

6 ---------> 2x : 48 = 3 : 12

9 --------->   2 : 3 = 6 : x

16 -------->  12 : 15 = x : 20

24 ------->  4 : 7  = x : 42

Step-by-step explanation:

An angle measures 80° less than the measure of its complementary angle. What is the measure of each angle

Answers

Answer:

let the angle be x and the complementary angle be y

so, x+y=90 and given,

x=y-80

solving both the equations,

x = 5

y = 85

so the angles are 5 and 85

Find the unit rate. 210 miles in 7 hours

That means you need to find out how many miles are traveled in 1 hour.

Your answer should be written like this: ____ miles in 1 hour OR ____miles per hour OR ____ mph and you need to fill in the blank with your answer!

Answers

Answer:

the answer will be 30 mikes per hour

Step-by-step explanation:



Find the perimeter of the figure to the right

6 yards
8 4/5 yard
9 2/3 yards
8 yards

Answers

I need to see the figure to answer the question

Anybody can help with these 2 I would really appreciate it for my last grade

Answers

Answer:

575x.25=143.75   575-143.75=$431.25

21.95x.15=$3.29 tip total bill $25.24

Step-by-step explanation:

Each letter in SYNONYM is written on a piece of paper and randomly chosen from a bag.What are the odds for choosing an Y?

Answers

2/7 or 2:7 or about 28.5%

Answer: 2/7 or 2 out of 7

Step-by-step explanation: because there are 2 y's in the word synonym

Consider the monthly payment formula M=Pr(1+r)^n/(1+r)^n-1. what is the name of the formula you get if you solve for P? what about if you solve for n? what special function do you need to use when solving for n?

WRITTEN RESPONSE QUESTION PLEASE ANSWER ASAP WILL AWARD BRAINLIEST.

Answers

Answer:

0.0061

Step-by-step drip check:

The name of the formula you get if you solve for P could be "Principal (loan amount)" "Term of the loan (in months)" or "Number of monthly payments"

Logarithms;

[tex]n = \dfrac{ ln[1 - \dfrac{Pr}{M} ]}{ln(1+r)}[/tex]

What is Monthly Payment Formula?

Consider the monthly payment formula

[tex]M= \dfrac{Pr(1+r)^n}{(1+r)^n-1}[/tex]

where: M = monthly payment.

P = principal loan amount.

r = interest rate per month (in decimal form).

n = term of the loan (in months).

If we will solve for P, the name of the formula is "Principal (loan amount)".

If we solve for n, the formula is "Term of the loan (in months)" or "Number of monthly payments".

When solving for n, we have to use logarithms:

[tex]M (1+r)^n-1=Pr(1+r)^n\\\\\dfrac{1}{ (1+r)^n} = 1 - \dfrac{Pr}{M} \\\\ln\dfrac{1}{ (1+r)^n} = ln[1 - \dfrac{Pr}{M} ]\\\\\\n = \dfrac{ ln[1 - \dfrac{Pr}{M} ]}{ln(1+r)}[/tex]

Learn more about monthly payments questions;

https://brainly.com/question/29766847

#SPJ2

What is 10x9 and 9x10

Answers

Answer:

90 for both of them

Answer:

90

Step-by-step explanation:

1+1+1+1+1+1+1+1+1=9 then add a 0

Use the geometric mean (altitude) theorem. What is the value of m?​

Answers

Answer:4

Step-by-step explanation:

Answer:

Correct answer is c

Step-by-step explanation:

just took the test

What is the area of the rectangle?

Answers

Answer:

12,180

Step-by-step explanation:

got

what is 25% of 12???

Answers

Answer:

3

Step-by-step explanation:

%25 is 1/4

1/4 of 12 is 3

Answer:

3

Step-by-step explanation:

25% is equal to 1/4. Of means multiply. Therefore, you would just multiply 1/4 and 12. Your answer should be 3.

8 Classes
G how to change you..
3. Using the graph provided determine the experimental probability,
expressed as a reduced fraction, of rolling 1 or 5 when a number cube is
rolled 50 times.*
20 points
Number Cube Experiment
14
12
10
10
9
8
6
Number of Rolls
O NO
6
2. 3
5
Number Showing

Answers

Answer:

14

Step-by-step explanation:

The correct Answer is 14
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