Find a general term an for the sequence whose first four terms are given.
2, 4, 8, 16, ...

Answers

Answer 1

Answer:

  an = 2·2^(n-1)

Step-by-step explanation:

There are simple tests to determine whether a sequence is arithmetic or geometric. The test for an arithmetic sequence is to check to see if the differences between terms are the same. Here the differences are 2, 4, 8, so are not the same.

The test for a geometric sequence is to check to see if the ratios of terms are the same. Here, the ratios are ...

  4/2 = 2

  8/4 = 2

  16/8 = 2

These ratios are all the same (they are "common"), so the sequence is geometric.

The general term of a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

Filling in the values for this sequence, we find the general term to be ...

  an = 2·2^(n-1)


Related Questions

Plz answer this as well. Thankyou.

Answers

Answer:

21

Step-by-step explanation:

(-5-2)(-3)

= (-7)(-3)

=21

about what is 4/5+8/9

Answers

Answer:

1.688 the 8 will keep repeating

Step-by-step explanation:

Answer:

76/45 or 1.69 (rounded)

Step-by-step explanation:

First, you want to find the LCM (Lowest Common Multiple) of the two fractions.

Here, the LCM would be 45 (5*9).

So the fraction would become:

[tex]\frac{4*9}{45} + \frac{8*5}{45} \\\\\frac{36+40}{45} \\\\\frac{76}{45}[/tex]

2xy when x = 5 and y = -3

Answers

Answer:

the answer is -30

Step-by-step explanation:

2xy=2*5*-3

= -30

The value of the expression 2xy will be -30.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given expression is 2xy and x = 5 y = -3. To calculate the value put the value of x and y in the expression.

2xy=2 x 5 x -3

2xy= - 30

Therefore, the value of the expression 2xy will be -30.

To know more about an expression follow

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A. B. ​ ​ 3(x+2) x+2 ​ =18 =6 ​ 1) How can we get Equation BBB from Equation AAA? Choose 1 answer: Choose 1 answer: (Choice A) A Add/subtract the same quantity to/from both sides (Choice B) B Add/subtract a quantity to/from only one side (Choice C) C Multiply/divide both sides by the same non-zero constant (Choice D, Checked) D Multiply/divide only one side by a non-zero constant

Answers

Answer:

C. Multiply/divide both sides by the same non-zero constant

A. Yes

Just Did It On Khan Academy

Step-by-step explanation:

To get equation A from equation B multiply/divide only one side by a non-zero constant option (C) Multiply/divide only one side by a non-zero constant is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Two linear equations:

A.   3(x + 2) = 18

B.    x + 2 = 18

In equation B multiply by 3 on one side:

3(x + 2) = 18

Thus, to get equation A from equation B multiply/divide only one side by a non-zero constant option (C) Multiply/divide only one side by a non-zero constant is correct.

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i need a step by step explanation of how to solve this

Answers

Answer: x = 6

Step-by-step explanation:

Subtract 8 on both sides. The new equation should be -2x = -3x + 6.Now, add 3x on both sides. It should give you x = 6.

milo runs 4.5 miles around his house he has to run 6.7 miles how many miles does he have to run left

Answers

Answer:

2.2 miles

Step-by-step explanation:

6.7 - 4.5 = 2.2

Answer:

6.7 miles

Step-by-step explanation:

The sentence about 4.5 miles is extra info. you don't need. In the question it says he needs to run 6.7 miles, then continues to ask how many miles he needs to run.

I hope this answers your question and you understand! Have a great rest of your day! :)

A basketball player averages 12.5 points per game. There are 24 games in a season. At this rate, how many points would the player score in an entire season?

Answers

Answer:

300

Step-by-step explanation:

hope this helps

Read the headline below and complete the instruction that follows. “Sloppy Play Sends Tigers to Final Loss” Determine which word indicates bias. Sloppy Tigers Final Loss

Answers

Answer:

Sloppy

_________

Answer:

sloppy

Step-by-step explanation:

it basically give a description that not everyone would think about it. if i described texas A&M as Trash not all people think that therefore making the statement an opinion and bias.

The two rectangles in the sketch below are congruent. Which sequence exhibits their congruence? A rotation 90° clockwise about the origin followed by a reflection across the x-axis A rotation 90° counterclockwise about the origin followed by a reflection across the y-axis A rotation 90° counterclockwise about the origin followed by a reflection across the x-axis A rotation 180° counterclockwise about the origin followed by a reflection across the y-axis

Answers

Answer:

A rotation 90° counterclockwise about the origin followed by a reflection across the x-axis

Step-by-step explanation:

it's rotated about the origin counterclockwise by 90 degrees and then reflected over the X axis in order to find the shape there.

Sal, John and Desmond have formed a partnership. The total investment was $750,000.
Sal owns 40% and John owns 25% of the partnership. How much did Desmond invest?

Answers

Desmond invest 35 %

Jackson was selling cups of lemonade. On Saturday, he sold a total of 14 cups. On Sunday he sold cups at a steady rate of 3 cups per hour. Set up and solve an equation to find how many hours, h, it took Jackson to sell 47 cups (including those from Saturday).

Answers

Answer:

(47-14) h ÷ 3 =11

Step-by-step explanation:

47-14=33

33 divided by 3 is 11

Jackson takes 11 hours to sell 47 cups.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of hours that Jackson sold his cups on Sunday.

Now,

Saturday cups + Sunday cups = Total cups.

14 + 3x = 47

3x = 33

x = 11

Hence "Jackson takes 11 hours to sell 47 cups".

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If n represents a number then write an expression for two less than one fourth of n

Answers

Answer:  [tex]\frac{1}{4}n-2[/tex]

This is the same as [tex]\frac{n}{4} - 2[/tex] and it is also equivalent to [tex]0.25n-2[/tex]

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

Explanation:

n is some placeholder for a number

one fourth of that number is [tex]\frac{1}{4}n[/tex] which is the same as [tex]\frac{n}{4}[/tex] or [tex]0.25n[/tex] since 1/4 = 0.25

From here, we subtract off 2 to get [tex]\frac{1}{4}n-2[/tex] as one possible final answer.

If mZDEF = (7x + 4)", mZDEG = (5x + 1)', and mZGEF = 23", find each
measure.
E
F
D
Angle DEF -
What is x?

Answers

Answer:

Yoy answer is x=10

Step-by-step explanation:

We already know what ∠GEF is 23°

so you would have to create an equation like this [tex]23+(5x+1)=7x+4[/tex]

you add 23+1=24 and get [tex]5x+24=7x+4[/tex] subtract 5x on both sides

[tex]24=2x+4[/tex] subtract 4 on both sides

[tex]20=2x[/tex] divide 2 x=10

∠DEF=7(10)=70+4=74

∠DEG=5(10)=50+1=51

To check 51+23=74

I need help with this geometryyyy workkk

Answers

Answer:

Perpendicular

Step-by-step explanation:

For this problem, it is important to note two things.  One line is completely vertical, and the other line is completely horizontal.

The line y=9 is completely horizontal at the y-value at 9.  The line x = 2 is completely vertical at the x-value at 2.

Hence, these two lines would be perpendicular.

Cheers.

Answer:

Perpendicular.

Step-by-step explanation:

Since it makes a huge cross +, which we want it to be, we need the lines to intercept and it makes a right angle. That means it is perpendicular.

Find the distance between the points (0,2)and (-5,-9)The answer must be a whole number or a fully simplified radical expression do not round up

Answers

Answer:

The answer is

[tex]\sqrt{146} \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(0,2)and (-5,-9)

The distance is

[tex]d = \sqrt{( {0 + 5})^{2} + ({2 + 9})^{2} } \\ = \sqrt{ {5}^{2} + {11}^{2} } \\ = \sqrt{25 + 121} \\ = \sqrt{146} [/tex]

We have the final answer as

[tex] \sqrt{146} \: \: \: units[/tex]

Hope this helps you

Answer:

ok. i have solved. u can have a look .

The temperature falls from 0 degrees to -12.4 degrees in 3 hours. Which expression finds the change in temperature
per hour?

Answers

Answer: should be 4.13

Step-by-step explanation: -12.4 divided by 3 is -4.13333333333 and goes on

2/7(x+4)=-6 what is the value of x?

Answers

Answer:

2/7 as decimal is 0.28

2/7(x+4)=-6

2/7x+ 1 1/4= -6

-6 - 1 1/4 = -7.25

0.28x = -7.25

x = -25.89

[tex](\sqrt{2}-3i)(\sqrt{2}-5i)[/tex] plz simplify

Answers

2-3i square root of two -5i

Answer:

-5i

Step-by-step explanation:

a seven sided number cube with sides numbered 1,2,3,4,5,6,7 is rolled. what is the probability that a 4 or odd number is rolled ? which fraction ? 5/7 2/7 3/7 4/49

Answers

The probablity of rolling a 4 = 1/7

There are 4 odd numbers, so the probablity of rolling an odd number = 4/7

4/7 + 1/7 = 5/7

Steven wants to buy a $590 bicycle. Steven has no money saved, but will be able to deposit $50 into a savings account when he receives his paycheck each Friday. However, before Steven can buy the bike, he must give his sister $60 that he owes her. For how many weeks will Steven need to deposit money into his savings account before he can pay back his sister and buy the bike?

Answers

Answer:

13 weeks

Step-by-step explanation:

Add 590 and 60 together and then divide by 50 and you'll get 13

The area, A, of a square with a side of length x is given by A = x^2? Use this relationship to verify that doubling the length of the side of a square floor increases the area of
the floor by a factor of 2^2

Answers

Answer:

Hi

Step-by-step explanation:

A truck can be rented from company A for $130 a day plus $0.20 per mile. Company B charges $50 a day plus $0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for company A and company B

Answers

Answer:

200 miles

Step-by-step explanation:

Company A

Daily charge = $130Per mile = $0.20x miles per day = 130 + 0.2x

Company B

Daily charge = $50Per mile = $0.60x miles per day = 50 + 0.6x

Assume x miles that makes same amount for both options, then:

130 + 0.2x = 50 + 0.6x0.6x - 0.2x = 130 - 500.4x = 80x = 80/0.4x = 200 miles

Describe the transformation.

Answers

Answer:

C. reflection across the x-axis

Answer:

C

Step-by-step explanation:

This is a reflection across the x-axis because it is the same thing but reflected.

Hope this helps.

Hi can someone tell me how is the answer 113?? how do i type it in the calculator?? im confused can someone please explain ASAP!!!!!!!!

THANK YOU

Answers

You shouldn't need a calculator for this. The quadratic equation is written in standard form.

ax^2 + bx + c = 0

You substitute a, b, and c into the discriminant formula and solve as shown in the example in the picture you provided.

(-7)^2 - 4(2)(-8)

49 - 4(-16)

49 - (-64)

49 + 64

113

Best of Luck!

7¹² ÷ 7⁴ is equal to ___. A. 7³ B. 7⁸ C. 3 D. 1³

Answers

Answer:

  B. 7⁸

Step-by-step explanation:

The four factors of 7 in the denominator cancel four of the twelve factors of 7 in the numerator, leaving 8. When a product consists of 8 factors of 7, we write it as ...

  7⁸

Answer:

B

Step-by-step explanation:

7^12 / 7^4 = 7^8

Suppose that 14 inches of wire costs 70 cents. At the same rate, how many inches of wire can be bought for 35 cents?​

Answers

Answer:

7

Step-by-step explanation:

35x2=70 14/2=7

Solve with Foil, and show work (4x+3) (5x-4)

Answers

Answer:

[tex]20x^{2} + 12x -28[/tex]

Step-by-step explanation:

(4x+3) (5x-4)

= [tex]20x^{2} -16+15x-12[/tex]

 (multiply 4x with (5x-4) and multiply 3 with (5x-4) )

= [tex]20x^{2} + 12x -28[/tex]

 (rearrange the numbers and subtract 12 from -16)

Which polynomial is in standard form?
A)
2x - 3x2 - 4x} + 6x4 + 8
B)
2x4 - 7x² - 6x² + 3x + 9
5 + 7x2 + 6x + 3x5 + x
D)
5 + 7x3 - 6x² + 3x + 9x

Answers

Answer:

A

Step-by-step explanation:

6(m+2)+6m=-5(-7m-7) Solve for m.

Answers

Answer:

m = -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

m = -1

☽------------❀-------------☾

Hi there!

~

Let's solve your equation step-by-step.

[tex]6(m+2)+6m=-5(-7m-7)[/tex]

Step 1: Simplify both sides of the equation.

[tex]6(m+2)+6m=-5(-7m-7)[/tex]

[tex](6)^{(m)} + (6)(2)+6m= (-5)(-7m)+(-5)(-7)[/tex] (Distribute)

[tex]6m+12+6m=35m+35[/tex]

[tex](6m + 6m)+(12)=35m + 35[/tex] (Combine Like Terms)

[tex]12m + 12 = 35m + 35[/tex]

[tex]12m + 12 = 35m + 35[/tex]

Step 2: Subtract 35m from both sides.

[tex]12m + 12 - 35m = 35m + 35 - 35m[/tex]

[tex]-23m + 12 = 35[/tex]

Step 3: Subtract 12 from both sides.

[tex]-23m + 12 - 12= 35 - 12[/tex]

[tex]-23m = 23[/tex]

Step 4: Divide both sides by -23.

[tex]\frac{-23m}{-23} = \frac{23}{-23}[/tex]

[tex]m = 1[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

a1= -26. d= 200
a(n)= ?

Answers

Answer:

a(n) = -26+(200n-200)

Step-by-step explanation:

The formula for arithmetic series is "Tn=a+(n-1)d

Then,the elements in the formula are substituted with numbers.i.e Tn= -26+(n-1)200.

therefore,Tn= -26+(200n-200)...

Nb: This answer is Subjected to review, thanks.

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