Given a sequence is defined by the explicit definition: tn=2n−n

Find the 6th term of the sequence (i.e. t6 )

Answers

Answer 1

Answer:

The 6th term of the sequence is 58.

Step-by-step explanation:

The sequence is given by the following definition:

[tex]t_n = 2^n - n[/tex]

Find the 6th term of the sequence

This means that [tex]n = 6[/tex]. So

[tex]t_6 = 2^6 - 6 = 64 - 6 = 58[/tex]

The 6th term of the sequence is 58.


Related Questions

15 POINTS!!!IF YOU HELP ME!!!
1. A shopper bought a 10-pound bag of apples for $12.50. What was the unit price? Show your work. A $0.63 C $6.25 B $1.25 D $12.50

Answers

B divide 12.50 by 10

10 POINTS
8TH GRADE MIDDLE SCHOOL MATH

Answers

Answer:

first one is the answer to this

Step-by-step explanation:

select all the expressions that all have the following quotient 2m+3

Answers

Answer:

1, 2 and 4

Step-by-step explanation:

1.32m2/16m +48m/16m =2m +3

2.4m2/2m +6m/2m =2m+3

4.10m2 /5m +15m/5m= 2m+3

If the distance from point P to point L is the same as the distance from point P to point C, then P is on

Answers

Answer:

This answer is C, it is on the perpendicular bisector of segment LC.

Draw any line segment P and L, then another point C anywhere, but the length needs to be the same as PL.  You will note that LC (if you connect those points) will become the perpendicular bisector to point P.

I hope that makes sense.....

Step-by-step explanation:

7 - 2x - 5y=-7
3x + 4y = 7

Answers

-7 + 7 = 0
-5y = 2x
-5y/5 = y
2x/5 = 2x/5

y = 2x/5

4y = -3x + 7

4y/4 = y

-3x/4 + 7/4

y = -3x/4 + 7/4

Help!!

A class rolled number cubes. Their results are shown in the table.
What is the experimental probability of rolling a number less than 5?



67.8%

49.5%

34.4%

84.7%

Answers

Answer:

A. 67.8%

Step-by-step explanation:

the total number of occurences are 202

Now the total number of occurencess for 4 and below are 137

So Heres the quickest way to do it: Divide 137 by 202 then multiply it by 100 being 100%

Then you would get 67.8, then well put the percent sign behind it.

Simplify the rational expression by rationalizing the denominator √15/√6x

Answers

Answer:

√10/2x

Step-by-step explanation:

Multiply by √6 on the top and bottom to rationalize the denominator.

(√15×√6)/(√6x×√6) = √90/6x = (√9×√10)/6x = 3√10/6x = √10/2x

A 16-foot ladder must reach 13 feet up a building. What's the measure of the angle

that the ladder makes with the ground?

OA) 39.090

OB) 3.6°

C) 54.34°

D) 35.66°

Answers

The answer is c.
Do you wanna build a snowman or ride our bikes around the halls.

The correct answer is C) 54.34°.

You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you​ survey? Assume that a prior survey suggests that about 22​% of air passengers prefer an aisle seat. Assume that you want to be 98% confident that the sample percentage is within 5.1 percentage points of the true population percentage.

Answers

Answer:

358 randomly selected air passengers must be surveyed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

Assume that a prior survey suggests that about 22​% of air passengers prefer an aisle seat.

This means that [tex]\pi = 0.22[/tex]

How many randomly selected air passengers must you​ survey?

We need a sample of n, and n is found for which [tex]M = 0.051[/tex]. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.051 = 2.327\sqrt{\frac{0.22*0.78}{n}}[/tex]

[tex]0.051\sqrt{n} = 2.327\sqrt{0.22*0.78}[/tex]

[tex]\sqrt{n} = \frac{2.327\sqrt{0.22*0.78}}{0.051}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.22*0.78}}{0.051})^2[/tex]

[tex]n = 357.2[/tex]

Rounding up

358 randomly selected air passengers must be surveyed.

The train station clock runs too fast and gains 5 minutes every 3 days.
How many minutes and seconds will it have gained at the end of 7 days?

Answers

9514 1404 393

Answer:

  mm:ss = 11:40

Step-by-step explanation:

We assume the amount of gain is proportional to the time that passes.

  g/7 = 5/3

  g = 7(5/3) = 35/3 = 11 2/3 . . . . minutes

The clock will have gained 11 minutes and 40 seconds after 7 days.

Please answer this correctly without making mistakes

Answers

Answer:

1 mi 1927 ft

Step-by-step explanation:

Turn everything into feet:

5mi x 5280 ft/1 mi  = 26,400ft + 1,348 ft = 27, 748 ft

3mi x 5280 ft/1 mi = 15,840ft + 4,701 ft = 20,541 ft

Do the subtration that the problem wants you to do:

27, 748 ft - 20,541 ft = 7,207 ft

Turn the answer into mi & ft:

7,207 ft - 5280 ft = 1927 ft

=

1 mi 1927 ft

PLZ HELP ME WITH MY HW?????

Answers

Answer:

Uh 7/24?

Step-by-step explanation:

Just doing this in my head fyi lol

Help plz will give brainliest!

Answers

Answer:

Exponential

Step-by-step explanation:

The Martin family's truck gets an average of 24 miles per gallon. Predict how many miles they can drive using 5 gallons of gas.

Answers

Answer:

120 miles

Step-by-step explanation:

just take 24*5 to get how many miles they can travel which would be 120 miles

The data distribution is ___

Answers

Answer:
Skewed right

Explanation:
The data is higher on the right

Answer:

skewed left

Step-by-step explanation:

Help me please omg. Am having trouble with this.

Answers

Answer:

Part A 225-81=144

Step-by-step explanation:

1. 15×15 =225

2. 3×3×3×3 =81

"Hunter read 40 pages in his history book in
one hour.

Rate of change is

Answers

30 seconds is 20 pages, 15 seconds is 10 pages, 7.5 seconds is 5 pages

For the equation y = - 3x + 2 2. determine the value of y when x = 2?

Answers

Y = -3(2) +22
Y = -6 +22
Y = 16

Answer:

y=16

Step-by-step explanation:

x=2

y=-3x+22

y=-3(2)+22 then y=-6+22, y=16

Howard buys a new comforter set for 15% off the original price of 54$.What is the sale price?

Answers

Answer:

$45.90

Step-by-step explanation:

What 15% off means is 85% of the original price ($54). 85% is the same as 17/20. Multiply 17/20 by 54 (or multiply 3/20 by 54 and subtract that from 54) to get the sale price.

(17 * 54)/20 (Multiply 17 by 54)

918/20 (Reduce if needed)

459/10 (Divide 459 by 10)

45.9

The sale price of the comforter is $45.90.

What number can be a common denominator for 3/4 and 1/8

Answers

Answer:

8

Step-by-step explanation:

3/4 = 6/8

Answer:

of course

8 cause common can be like

4×2

Need this quick please!
Select the correct answer.
1+ 3
Which expression is equivalent to 12 - 21
-
12 + 21 - 3
I +1 if no denominator equals zero?
3
O A
o
B.
1
12 – 21 – 3
1
12 – 40 + 3
1
12 + 2.1 – 3
I + 3
1+1
OC.
OD

Answers

Answer:

C is the answer i think

Step-by-step explanation:

I have 1 litre of water in a jug. On the way to my table I spill some. I have 780ml left. How much have I lost?​

Answers

Step-by-step explanation:

1 litre = 1000ml

780ml left

lost amount = 1000 - 780 = 220ml

30 points! Need help ASAP!

Answers

The answer IS C. X=2 and X=3.

Phil bought two hamburgers and a milk shake

for $10.30. Janice bought three hamburgers and

a milk shake for $14.80. What is the cost of the

two milk shakes?

A. $1.30

B. $1.45

C. $2.60

D. $4.50

Answers

Answer:

C.

Step-by-step explanation:

[tex]\left \{ {{2x+y=10,3} \atop {3x+y=14,8}} \right.[/tex]

[tex]\left \{ {{y=10,3-2x} \atop {y=14,8-3x}} \right.[/tex]

10,3-2x=14,8-3x

x=4,5 - one hamburger

y=1,3 - one milk shake

OR:

$14,8-$10,3=$4,5 - one hamburger

2*4,5+y=10,3

y=1,3 - one milk shake

2y=2,6

160% of 30

I’ve been stuck on this question for hours I REALLY need help

Answers

Answer:

The answer is 48

Step-by-step explanation:

160% is the same as 1.60

A percent of something means you have to multiply them together

1.60 times 30=48

Hope this helps!!

Put the following fractions in their simplest forms.
6/9
11/88

Answers

2/3
1/8
Would be the simplest forms
The simplest form would be:
6/9 to 2/3
11/88 to 1/8

x^3 + 5x^2 + 2x + 10 = 0

Answers

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

x3+5x2+2x+10=0

Step 1: Factor left side of equation.

(x+5)(x2+2)=0

Step 2: Set factors equal to 0.

x+5=0 or x2+2=0

x=−5

Answer:

x=−5

Pls help I’ll brainlest for the right answer due today

Answers

Answer:

$51.75

Step-by-step explanation:

46 x 1.125 = 51.75

Answer:

The retail price is $51.75.

Step-by-step explanation:

If the original price is $46, and the markup is 12.5 percent, you need to:

46 dollars x 1.125 = 51.75 dollars.

Hope this helps! Please give me Brainliest if you feel this helped. Have a good day and a good rest of 2021, best of luck with your classes.

PLZ HELP BRAINLIEST


Create a scenario that requires use of the Fundamental Counting Principle to find the probability. Calculate the probability.

Answers

Answer:

see explanation below

Step-by-step explanation:

You have three pairs of shoes (white, brown, and black), and you have 6 pairs of pants ( brown,  blue, grey, white, sand, and  black)

We use the Fundamental Counting Principle to find the number of possible pant-shoe combinations:

3 * 6 = 18

then we can find the probability of wearing by random selection brown shoes with either blue or grey pants:

prob (brown shoes & blue pants) + prob (brown shoes & grey pants) =

= 1/18 + 1/18 = 2/18 = 1/9

Click the picture

Giving brainlist

Answers

Answer:

5

The value of y is also 5!

The value of pair (x,y) is (5,5)

Hopefully this helped! :D

-LavenderVye

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