Use a1=6 and d=8 to write the first 5 terms of the sequence and the 20th term.

Answers

Answer 1

Answer:

right

Step-by-step explanation:

s

a

k

+

1

=

a

k

+

2

and

a

1

=

6

a

2

=

a

1

+

2

=

6

+

2

=

8

a

3

=

a

2

+

2

=

8

+

2

=

10

a

4

=

a

3

+

2

=

10

+

2

=

12

and

a

5

=

a

4

+

2

=

12

+

2

=

14

and hence first five terms are

{

6

,

8

,

10

,

12

,

14

}

As

a

k

+

1

=

a

k

+

2

, each term is

2

more than previous term

it is an arithmetic sequence with first term as

a

1

and common difference

d

and hence

n

t

h

term is

a

n

=

a

1

+

(

n

1

)

d

and hence

n

t

h

term of the sequence is

a

n

=

6

+

(

n

1

)

×

2

=

6

+

2

n

2

=

2

n

+

4


Related Questions

the organic cafe has 15 pastries for sale, including 6 peach scones. what is the probability that a randomly selected pastry will be a peach scone?

Answers

Answer:

Probability of getting Peach scone pastry = 3 / 5

Step-by-step explanation:

Given:

Total number of pastries in store = 15

Number of Peach scone pastry = 6

Find:

Probability of getting Peach scone pastry

Computation:

Probability = Number of event / Total outcomes

Probability of getting Peach scone pastry = Number of Peach scone pastry / Total number of pastries in store

Probability of getting Peach scone pastry = 6 / 15

Probability of getting Peach scone pastry = 3 / 5

I NEED HELP QUICKLY

No Links or Files you will be reported

Based on the graph, what is the solution set to the equation −30+9x=−0.5x|x−1|−2?
The solution set to the equation is {____}.

Answers

Answer:

{ 3 }

Step-by-step explanation:

-30+9x=-0.5 |x-1| -2

from the graph, we can see that both curves intersect at (3,-3)⇒x=3

put x=3 in LHS&RHS

⇒LHS=-30+9(3)=-3

RHS=-0.5 |3-1|-2=

-1/2×2-2=-1-2=-3

so the answer will be 3..

hope it helps..

have a great day!!

For the data set 6, 5, 10, 11, 13, the mean, x, is 9. What is the standard deviation?

Answers

Answer:

your answer will be 3.4

Step-by-step explanation:

n=number of terms

{6,5,10,11,13}=5

also ∑(x-x)^2=46

[tex]S=\sqrt{\frac{1}{5-1} *46} =[/tex]

[tex]\sqrt{\frac{46}{4} }=\sqrt{11.5} \\\\S=3.4[/tex]

hope it helps

have a great day!!

Patriciodeposits $500 in the same account that pays a 1.5% simple interest he does not withdraw any money from the account any makes no other deposits how much money does Patricio happiness saving account after 5 years​

Answers

Answer: $537.5

Step-by-step explanation:

$500 at 1.5% for 5 years

p x  r x t = i

500 x 0.015 x 5= 37.5

37.5+500=537.5

The length of the legs of a 45-45-90 Special Right Triangle are 5 inches. How long is the hypotenuse of the triangle?

Question 1 options:

15 inches

5√3– inches

5√2– inches

10 inches

Answers

Answer:

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

Quiz results:

The length of the hypotenuse of a 45-45-90 Special Right Triangle is given by: Option C: 5√2 inches

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

For this case, we're specified that:

The triangle is 45-45-90 Special Right Triangle,that means, two of its angles are of 45 degrees and one is of 90 degrees.The legs of the triangle (non-slant side, the sides which are perpendicular to each other) are of 5 inches length.

Thus, as shown in the diagram, the hypotenuse is AC.

Its length is found using the Pythagoras theorem as:

[tex]|AC|^2 = |AB|^2 + |BC|^2\\\\|AC|^2 = 5^2 + 5^2 = 25 + 25 = 50\\\\\text{Taking roots, but positive as AC is length, a non-negative quantity}\\\\|AC| = \sqrt{50} = \sqrt{25 \times 2} = \sqrt{5^2 \times 2} = 5\sqrt{2} \: \rm inches[/tex]

Thus, the length of the hypotenuse of a 45-45-90 Special Right Triangle is given by: Option C: 5√2 inches

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

Find the value of x.

Answers

Answer:

x = 115

Step-by-step explanation:

x = 115 because of alternate exterior angles

PLEASE HELP 50 POINTS

Answers

Answer:

im leaning on parallelogram

Step-by-step explanation:

Parallelogram, Quadrilateral, and Rectangles

First off both of these images are parallelogram because the arrows show that both the rectangle and the square (diamond/whatever you want to call it) have pairs of parallel sides so we know that both these shapes are parallelograms

Secondly, these shapes are both quadrilaterals. A quadrilateral, by definition, is simply a four-sided figure. Both a rectangle and a square are four-sided figures so these are both quadrilaterals.

Lastly, these figures are both rectangles. Yes I know one is a square and one is a rectangle but a square is a special four sided figure that can classify as a rectangle. Every square is a rectangle but not every rectangle is a square. A rectangle by definition is a four sided polygon with two pairs of parallel sides, congruent sides, and four 90 degree interior angles.

Hope this helped :)

What is 1608 Rounded to the hundred?

Answers

Answer:

1600

Step-by-step explanation:

how much fencing is required to enclosed a circular garden whose radius is 14 m? use 22/7 for π​

Answers

Answer:

[tex]circumference = 2\pi \: r \\ = 2 \times \frac{22}{7} \times 14 \\ 88 \: m \: fence[/tex]

What is the measure of FBC?
Type your response below

Answers

Answer:

150

Step-by-step explanation:

Since EC is 180,

180-30=150

someone pls help !! geometry problemmm

Answers

138 +anglex =180
Angle x=42

The arc measure equals the corresponding central angle measure
So x=42
Same working as the person who answered its correct

Can someone help me please

Answers

Answer:

192 minutes

Step-by-step explanation:

if 100% is 8 hours

50% is 4 hours

75% is 2 hour

then 60% = 60/12.5 = 4.8 hours left

8-4.8 = 3.2 hours there

3.2x 60 = 192 minutes

REPOST, SOMEONE PLEASE HELP I DONT WANT TO KEEP WASTING ALL MY POINTS ON 1 QUESTION!!!!!!!​

Answers

Answer:

:

1.

centre(h,k)=(-13,9)

radius (r)=6

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x+13)²+(y-9)²=6²

(x+13)²+(y-9)²=36you can write this equation too

x²+26x+169+y²-18y+81=36

x²+y²+26x-18y+169+81-36=0

x²+y²+26x-18y +214=0

is a required equation of the circle.

2.

centre(h,k)=(1,-1)

radius (r)=11

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-1)²+(y+1)²=11²

(x-1)²+(y+1)²=121

you can write this equation too

x²-2x+1+y²+2y+1=121

x²+y²-2x+2y=121-2

x²+y²-2x+2y=119

is a required equation of the circle.

3.

centre (h,k)=(3,1)

radius (r)=4units.

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-3)²+(y-1)²=4²

(x-3)²+(y-1)²=16 is a required equation.

4.

centre(h,k)=(4,-2)

radius (r)=3

we have

equation of the circle is

(x-h)²+(y-k)²=r²

(x-4)²+(y+2)²=3²

(x-4)²+(y+2)²=9

you can write this equation

The actual length of side y is 22cm. Use the scale drawing to find the length of side x.

Answers

Given:

The actual length of side y is 22cm.

To find:

The length of side x by using the scale drawing.

Solution:

We know that the corresponding sides of original figure and scale drawing are proportional.

[tex]\dfrac{x}{1.8}=\dfrac{y}{1.4}[/tex]

[tex]\dfrac{x}{1.8}=\dfrac{22}{1.4}[/tex]

[tex]x=\dfrac{22}{1.4}\times 1.8[/tex]

[tex]x\approx 28.286[/tex]

Therefore, the length of side x is about 28.286 cm.

the probability of randomly choosing an orange m&m from a bag of M&M's is 4/17. if the has a total of 102 M&M's how many orange M&M's are in the bag?

Answers

Answer:

24

Step-by-step explanation:

4/17

4= favourable

17=possible

102/17=6

so the factor is 6

which means 4x6 (24) is the answer

SOMEONE PLEASEE HELP!!?!?

Answers

Answer:

The answer is H

Step-by-step explanation:

Fill in each blank with one of the three phrases: is less than, is equal to, or is greater than.
1,742 x 1.000 _______ 1,742

Answers

✧・゚: *✧・゚:*  Answer:  *:・゚✧*:・゚✧

✅ 1,742 x 1.000 > 1,742

I WOULD APPRICIATE BRAINLIEST!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

Answer:

lessm than

Step-by-step explanation:

Divide 1 km in the ratio 4:9:12

Answers

Answer:

40

Step-by-step explanation:

4+9+12=25

1/25×1000=40

Hi! Please take a picture of the graph and solve it also answer the questions at the bottom! Tysm !!

Answers

Answer:if it's proportional, it should not pass through the origin

Step-by-step explanation:

Based on the provided answers already in the table, 8 strawberries seem to be picked consistently between a span of three hours. The graph would then just be a straight line going directly up to the right.

x y

0 0

1 8

2 16

3 24

4 32

Yes, the line passes through the origin. (0,0.)

Hope this helped! Khan Academy is a great resource for mathematics.

solve these equations

7x − 2y = 6

-3x + 6y = 18

Answers

7x-2y-6=0

X-2y+6=0

Both answer^

If a pizza that is 12 inches in diameter provides three full meals, how many meals are provided by a pizza that is 20 inches in diameter?

Answers

Answer:

If 12 inches in diameter can provide 3 full meals then it's obvious that one meal is 4 inches in diameter. So 20 would give 5 full meals.

Step-by-step explanation:

Yeah

Find the area:
(A) 48
(B) 96
(C) 144
(D) 288

Answers

Answer:

144

Step-by-step explanation: You add both of the bases in which this case would be 12 and 6, giving you 18, multiply it by the height, 16, to give you 288 then divide it by 2.

Raquel’s favorite basketball player scored 25, 17, 38, 11, and 24 points during her games.

What is the mean number of points the player scored?

Answers

Answer:

23 points

Step-by-step explanation:

mean is 23

( ‘mean’ means the average)

add all the numbers together and divide by how many numbers are there.

25+17+38+11+24=115
115/5=23

A pizza has a radius of 13.5 centimeters. What is the CIRCUMFERENCE of the pizza? Use 3.14 for pi. Round to the nearest tenth

Answers

Answer:

The circumference is:

[tex]C=84.8\: cm[/tex]

Step-by-step explanation:

The pizza is a circle, so the circumference equation is given by:

[tex]C=2\pi R[/tex]

Where:

R is the radius of the circumference.pi is 3.14

Therefore, the circumference is:

[tex]C=2\pi*13.5[/tex]

[tex]C=84.8\: cm[/tex]

I hope it helps you!

BRAINLIEST TO CORRECT ANSWER! :) NO links as answers, or you will be reported! (question 22)

Answers

Answer:

Hello! Your answer is, B) B

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

Answer:

A

Step-by-step explanation:

Mark me brainllest

What is the area of the triangle?

Answers

Answer:

   A = 6.36

Step-by-step explanation:

what is the asnwer ot this problem

Answers

Answer: 6.34 feet
Explanation: Hypotenuse = 15
Angle of ladder=65 degree
Adj 65= a/15
(15) adj 65 = a/15 (15)
a=15 adj 65
A=6.34

please help!
What is the volume of the cylinder below?

Answers

Answer:

c 62.8

Step-by-step explanation:

pi=3.14

3.14(2^2)5

3.14(4)5

3.14(20)

62.8 in

PLSSSSSSSSSSSS I SERIOUSLY DONT GET THIS

Answers

if anyone puts a link DO NOT OPEN IT ITLL GIVE U VIRUS

A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is
h(t)= -16t2 + 64t + 4, where t is measured in seconds and h is the height in feet. Use this information to answer the following questions.

A)What is the height of the ball after 2 seconds?
B)When will the ball reach a height of 50 feet?
C)What is the maximum height of the ball?
D)After how many seconds will the ball hit the ground?
E)What domain makes sense for the function?

Answers

a character representing one or more of the sounds used in speech; any of the symbols of an alphabet.

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