a. The first five terms of n^2 + 5 are


Answers

Answer 1

Given:

The nth term of a sequence is:

[tex]n^2+5[/tex]

To find:

The first five terms of the given sequence.

Solution:

The given sequence is:

[tex]a_n=n^2+5[/tex]

For n=1,

[tex]a_1=1^2+5[/tex]

[tex]a_1=1+5[/tex]

[tex]a_1=6[/tex]

For n=2,

[tex]a_2=2^2+5[/tex]

[tex]a_2=4+5[/tex]

[tex]a_2=9[/tex]

For n=3,

[tex]a_3=3^2+5[/tex]

[tex]a_3=9+5[/tex]

[tex]a_3=14[/tex]

For n=4,

[tex]a_4=4^2+5[/tex]

[tex]a_4=16+5[/tex]

[tex]a_4=21[/tex]

For n=5,

[tex]a_5=5^2+5[/tex]

[tex]a_5=25+5[/tex]

[tex]a_5=30[/tex]

Therefore, the first five terms of the given sequence are 6, 9, 14, 21, 30.


Related Questions

jane drove 50 miles more then her husband jim. the total distance traveled was 230 miles. find the number of miles that each of them traveled. (let jim be x and jane be x+50)

Answers

Answer:

115

Step-by-step explanation:

You divide 230 by 2 cause there are two peoples. I hope that helps :)

There are 5 slots, each containing the letters W, R, L, D or O. One letter is picked at random from each slot. What are the odds that the letters stored in these slots read the word WORLD?

Answers

Answer:

1/120

Step-by-step explanation:

For the first letter, you have a 1/5 chance of getting w

On the second you have a 1/4 chance to get the r

Then 1/3 and 1/2

Next you just multiply the bottom numbers

That gives you how many diffrent outcomes there can be. Put that over 1 and you have your answer.

Hope this helps <3

I copied the problem

Answers

Answer:

Step-by-step explanation:

149 11/16" ÷ 12 = 12.4739583333333333... ft

We subtract off the whole number part and call it 12'

0.4739583333333333 × 12 = 5 11/16 "

149 11/16" = 12'  5 11/46"

120 7/8" ÷ 12 = 10.07291666666

We subtract off the whole number part and call it 10'

0.07291666666 × 12 = 7/8"

120 7/8" = 10'  7/8"

The third one is moot as 0 1/8" equals 0' 1/8"

I suspect your photo framing has cut off some important numbers.

Fixed costs are $2000, and the cost of producing each pair of skies is $100. The selling price is $220 (per pair). How many pairs should be sold to make a profit of $29200?

Answers

260 pairs

Step-by-step explanation:

220-100= 120

(29200+2000)÷120= 260

There would be 260 Pairs

Cho hình thang ABCD vuông tại A và D biết AB=AD=3cm, BC=6cm. Tính góc C và D

Answers

Answer:

C=6cm

D=3cm

Step-by-step explanation:

C=6×6cm

36cm

D=3×3cm

=9cm

Simplify (-2)-3⋅ (-2)4⋅

Answers

Answer: 22

Step-by-step explanation:

−2−(3)(−2)(4)

=22

Find the sum : (i) 23123, 11001 and 21302 (iii) 21031, 12301 and 32211 (v) 21003, 12346 and 21220 (ii) 32101, 12301 and 1032 (iv) 301242, 123310 and 10002

Answers

Answer:

(i) 23123 +  11001 + 21302 =  55426(ii) 32101 + 12301 + 1032 = 45434(iii) 21031 + 12301 + 32211 =  65543(iv) 301242 + 123310 + 10002 = 434554(v) 21003 + 12346 + 21220 = 54569

1:-

[tex]\\ \sf\longmapsto 23123+11001+21302[/tex]

[tex]\\ \sf\longmapsto 55426[/tex]

2:-

[tex]\\ \sf\longmapsto 21031+12301+32211[/tex]

[tex]\\ \sf\longmapsto 65543[/tex]

3:-

[tex]\\ \sf\longmapsto 21003+12346+21220[/tex]

[tex]\\ \sf\longmapsto 54569[/tex]

4:-

[tex]\\ \sf\longmapsto 32101+12301+1032[/tex]

[tex]\\ \sf\longmapsto 45434[/tex]

5:-

[tex]\\ \sf\longmapsto 301242+123310+10002[/tex]

[tex]\\ \sf\longmapsto 434554[/tex]

Find the area of the circle around your answer to the nearest 10th

Answers

Answer:

A= π ( 3.8)^2

A= 45.36

OAmalOHopeO

Step-by-step explanation:

area is 2xr(times your answer)

Evaluate: 2-4
1
O A.
loo
O B.-8
O c.
1
16
O D.-16

Answers

Answer:

c is the answer

[tex] \frac{1}{16} [/tex]

g(x) = f(x+1) using f(x)= x to the power of 2

Answers

Answer:

g(x) = x² + 2x + 1

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Expanding

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

Identify

g(x) = f(x + 1)

f(x) = x²

Step 2: Find

Substitute in x [Function f(x)]:                                                                           f(x + 1) = (x + 1)²Expand:                                                                                                             f(x + 1) = x² + 2x + 1Redefine:                                                                                                           g(x) = x² + 2x + 1

Find the missing side lengths. Leave your answers as radicals in simplest form.

Answers

Answer:

Step-by-step explanation:

For the question 1:

The given is a special right triangle with angle measures of

90-60-30 and side lengths represented by :

a - a[tex]\sqrt{3}[/tex] and 2a

The side length that sees 90 degrees is represented with a

The side length that sees 60 degrees is represented with a[tex]\sqrt{3}[/tex]

The side length that sees 30 degrees is represented with 2a

Here the side length that sees angle measure 60 is given as [tex]\sqrt{6}[/tex]

so a[tex]\sqrt{3}[/tex] =  [tex]\sqrt{6}[/tex] to find the value of a we divide  [tex]\sqrt{6}[/tex] with [tex]\sqrt{3}[/tex]

[tex]\frac{\sqrt{6} }{\sqrt{3} }[/tex] = [tex]\sqrt{2}[/tex]

so y = [tex]\sqrt{2}[/tex] and x = 2[tex]\sqrt{2}[/tex]

for second question

the square value of hypotenuse is equal to sum of other two side length's square value

10^2 + 6^2 = x^2

100 + 36 = x^2

136 = x^2

[tex]\sqrt{136}[/tex] = x

Determine whether (a) x = -1 or (b) x = 2 is a solution to this equation

Answers

Answer:

2x-1=3

2x=3+1

2x=4

x=2

[tex]\huge\boxed{\underline{\bf \: Answer}}[/tex]

(a) Let's try with x = - 1

[tex] \sf \: 2x - 1 = 3 \\\sf 2( - 1) - 1 = 3 \\ \sf- 2 - 1 = 3 \\ \\ \boxed{\bf- 3 \: \bcancel= \: 3}[/tex]

So, x = - 1 is not the solution to the given equation.

______________

(b) Now, try with x = 2

[tex]\sf2x - 1 = 3 \\ \sf2(2) - 1 = 3 \\ \sf4 - 1 = 3 \\ \\ \boxed{\bf3 = 3}[/tex]

Yes, we can see that x = 2 is the correct solution for the equation.

______________

Hope it helps.

RainbowSalt2222

I have this question on an assignment and my calculator won't show the horizontal asymptote correctly can I get some help here?

Answers

What's the question? I can try and help..

An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 212" by 334" on the drawing, how large is the bedroom?

Answers

Answer:

53 by 83.5.

just divided the two numbers by 1/4

Answer:

848 and 1336

Step-by-step explanation:

You would actually multiply 212 and 334 by 4.

You need to multiply 1/4 by 4 to get 1.

212 x 4 = 848

334 x 4 =1336

It is claimed that the average child has no time to go to school. For the child spends 8 hours per day,or one third of his/her time sleeping. Based on a 365 day year, that’s 121.67days sleeping. Also the child spends three hours per day eating. That’s a total of 45 days in the year spent eating. Also the child spends 90 days taking summer vacation. Also the child spends 21 days on Christmas and Easter holiday. Finally, the child has each Saturday and Sunday off. That’s a total of 104 days. In short, we (rounding to whole days accounted for 122+45+90+21+104=382 days of the year taken up by ordinary child inlike activities. This is already more than the 365 days that are known to comprise a year. We conclude that there is certainly no time for the child to attend school. What is wrong with this reasoning?

Answers

Answer:

See below.

Step-by-step explanation:

Sleeping:

8/24 * 365 = 121.76 days

Eating:

3/24 * 365 = 45.63 days

Total sleeping and eating: 167 days

Summer Vacation & Holidays:

90 + 21 = 111 days

Saturdays and Sundays: 52 + 52 = 104 days

Vacation + Holidays Saturdays + Sundays = 111 + 104 = 215 days

It may be true that all days of vacation, holiday, Saturdays, and Sundays combined are a total of 215 days, but these 215 days cannot be added to the 167 days above because these 215 days include time for sleeping and eating which was already included in the sleeping and eating times for the entire year. The mistake in the reasoning is counting twice the time of sleeping and eating on the 215 days in which there is no school.

g A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 679 pounds per 1000 miles with a standard deviation of 15 pounds. At α = 0.05, in a left-tailed test (assuming equal variances) the test statistic is: Group of answer choices

Answers

Answer:

0.236

Step-by-step explanation:

Given :

x1 = 667 ; n1 = 10 s1 = 20

x2 = 679 ; n2 = 14 s2 = 15

Test statistic :

(x1 - x2) / √[Sp² (1/n1 + 1/n2)]

The pooled Variance, Sp² :

Sp² = [(n1 - 1)s1² + (n2 - 1)s2²] / (n1 + n2 - 2)

Sp² = [(9*20²) + (13*15²)] / (10+14-2)

Sp² = 6525 / 22 = 296.59

T = (667 - 679) / √(296.59*(1/10 + 1/14)

T = -12 / 50.844

T = 0.236

Test statistic = 0.236

What happens during a controlled experiment?


No observations are made.


A factor called a prediction is changed.


Many variables are changed at once.


The results of changing the independent variable are observed

Answers

Answer:

Step-by-step explanation:

The answer is that 1 variable is allowed to change. The others are held at a constant.

An example would be the growth of a poinsettia. These Christmas plants are very touchy. They respond badly to too much water or not enough water. So you keep the amount of dirt, the amount of sunlight, the amount of support that each plant receives as a constant.

The amount of water is what you change in one of the plants. The one plant (or a few) will measure the growth of the plant.

So the last answer is the one you want.

How do u do this I don’t understand pls and thanks

Answers

Answer: Look it up on internet

Step-by-step explanation: INTERNET

Last year at a certain high school, there were 56 boys on the honor roll and 150 girls on the honor roll. This year, the number of boys on the honor roll decreased by 25% and the number of girls on the honor roll decreased by 12%. By what percentage did the total number of students on the honor roll decrease?

Answers

Answer:

15.534% decrease

Step-by-step explanation:

Find the new number of boys and girls on the honor roll:

56(0.75) = 42 boys

150(0.88) = 132 girls

Find the new total number of students on the honor roll:

42 + 132 = 174

Find the percent decrease by dividing the difference in the number of students by the original number.

There were originally 206 total students on the honor roll. Find the difference:

206 - 174 = 32

Divide this by the original amount:

32/206

= 0.15534

So, the number of students on the honor roll decreased by approximately 15.534%

If sin x = –0.1 and 270° < x < 360°, what is the value of x to the nearest degree?

Answers

Answer:

354°15'38.99''

Step-by-step explanation:

A publisher reports that 54% of their readers own a personal computer. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 200 found that 44% of the readers owned a personal computer. Is there sufficient evidence at the 0.10 level to support the executive's claim

Answers

The null and alternate hypotheses are

H0 : u = 0.44  vs   Ha: u > 0.44

Null hypothesis: 44% of readers own a personal computer.

Alternate Hypothesis : greater than 44% of readers own a personal computer.

This is one tailed test and the critical region for this one tailed test for the significance level 0.1 is  Z >  ±1.28

The given values are

p1= 0.54 , p2= 0.44 ; q2= 1-p2= 0.56

Using z test

Z = p1-p2/√p2(1-p2)/n

Z= 0.54-0.44/ √0.44*0.56/200

z= =0.1/ 0.03509

z=  2.849

Since the calculated value of Z=  2.849 is greater than Z= 1.28  reject the null hypothesis therefore there is sufficient evidence to support the executive's claim.

Null hypothesis is rejected

There is sufficient evidence to support the executive's claim at 0.10 significance level.

https://brainly.com/question/2642983


A square and a rectangle have the same area. If the dimensions of the rectangle are 4 ft by 16 ft, how long is a side of the square?

Answers

Answer:

8

Step-by-step explanation:

4×16=64

[tex] \sqrt{64 } = 8[/tex]

Find the surface area of the figure and round your answer to the nearest tenth if necessary

Answers

Answer:

351.86

Step-by-step explanation:

the formula is

surface area=2πrh+2πr²

r= radius

h=height

D FEEDBACK
Content attribution
Question
A designer has a palette of 14 colors to create a flag. The flag must have 4 vertical stripes. Each stripe must be a different
color: How many possible flags can be created?
Provide your answer below:

Answers

Find a combination calculator, but in 14 and 4, choose combinations (not permutations) and you will see the number

Answer: 24,024

Step-by-step explanation

[tex]\frac{14!}{10!}[/tex]

=14*13*12*11*10 /10

=14*13*12*11

=24,024 possible flags that can be created

The diameter of a cone is 34 ft. the height is 16 ft what is the volume in cubic ft?

Answers

Answer:

4842.24 cubic feet

Step-by-step explanation:

Use the formula for the volume of a cone, V = [tex]\pi[/tex][tex]\frac{h}{3}[/tex]

The diameter of the cone is 34 ft, so the radius is 17 ft.

Plug in the radius and height into the formula, and solve for the volume:

V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

V = [tex]\pi[/tex](17)²[tex]\frac{16}{3}[/tex]

V = [tex]\pi[/tex](289)[tex]\frac{16}{3}[/tex]

V = 4842.24

So, the volume of the cone is 4842.24 cubic feet

Answer:

4,841.32 ft³.

Step-by-step explanation:

Let’s assume that this is a right circular cone and that the radius of the cone is r.

For our problem, r = (1/2)d = (1/2)34 = 17.

The volume of the cone is:

V = (1/3)pi r^2 h, where r is the radius and h is the height.

So, V = (1/3)pi(17^2)16 = 4,841.32 ft³.

How many hours in 20 days

Answers

Step-by-step explanation:

1 day = 24 hrs

so, 20 days = 20 × 24 = 480 hours

mark me as brainliest

Answer:

480 hours

Step-by-step explanation:

Which expression is equivalent to 6x3 + 3y2 – 5x3 + 2y2?

Answers

Answer:

The answer is c because6X^3 minus 5X^3 is just X^3 and 3Y^2 plus 2Y^2 is 5Y^2.

The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 28 ft^2. Find the dimensions of the rectangle.

Answers

Answer:

7 x 4

Step-by-step explanation:

Let the width be x, length will be 3x-5. ATQ, x(3x-5)=28. x=4 and x=-7/3, since length isn't negative, x=4. Width=4 and length=7

The pattern 96, 92, 88, 84, ________ follows the "subtract 4" rule. Study the pattern to find traits that are not obvious in the rule. Explain.
pleas in one or 2 sentences

Answers

We can see that a number ending in 0 occurs every 5 numbers. We also identify that all figures in pattern are even

If 15% of the customer's total is $22.05, then the customer's total is

Answers

Answer:

$147

Step-by-step explanation:

0.15x = $22.05

Divide both sides by 15

22.05/0.15 = $147

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