MATHEMATICS HIGH SCHOOL

Write a explicit formula for the sequence 10, 9.5, 9, 8.5, 8 then find ^a8

Answers

Answer 1

Answer:

Answer:

Explicit formula for the sequence is $a_n=10.5-0.5n$ and $a_8=6$

Step-by-step explanation:

Given: Sequence = 10, 9.5 , 9 , 8.5 , 8

To find: Explicit Formula for the sequence and 8th term of sequence

1st term of sequence = 10

2nd term of sequence = 9.5

3rd term of sequence = 9

4th term of sequence = 8.5

5th term of sequence = 8

Difference between 2nd and 1st term = 9.5 - 10 = -0.5

Difference between 3rd and 2nd term = 9 - 9.5 = -0.5

Since, Difference is same in both cases

⇒ It is Arthematic Progression

⇒ First term, a = 10 and Common term, d = -0.5

using formula of AP for nth term we get,

$a_n=a+(n-1)d$

$a_n=10+(n-1)(-0.5)$

$a_n=10-0.5n+0.5$

$a_n=10.5-0.5n$

⇒ 8th Term of AP, $a_8=10.5-0.5*8=10-4=6$

Therefore, Explicit formula for the sequence is $a_n=10.5-0.5n$ and $a_8=6$

Answer 2

Answer:

Answer:

The term number eight is 6.5

$a_(8)=6.5$

Step-by-step explanation:

The given sequence is an arithmetic sequence, because each term can be found by applying a difference.

In this case, you can observe that such difference is -0.5, because each term is going down by 0.5 units.

The formula that describes an arithmetic sequence is

$a_(n)=a_(1)+(n-1)d$

Where $a_(n)$ is the last term, $a_(1)$ is the first term, $n$ is the position of the last term and $d$ is the difference.

Each variable is

$a_(1) =10\nd=-0.5\nn=8\n$

Where we are gonna find $a_(8)$ the term number eight. So, replacing values, we have

$a_(n)=a_(1)+(n-1)d\na_(8)=10+(8-1)(-0.5)\na_(8)=10+7(-0.5)=10-3.5\na_(8)=6.5$

Therefore, the term number eight is 6.5.

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Answers

Answer:

What

Step-by-step explanation:

You can’t have more than 2 combinations with £9

The graph shows the cost of one pound of apples at the grocery store. find the slope of the line.

Answers

Put the graph in and I will solve this question. it is unsolvable without the graph.

Final answer:

The slope of the line represents the rate of change in cost for one pound of apples at the grocery store.

Explanation:

The slope of a line on a graph represents the rate of change. In this case, the slope represents the change in cost for one pound of apples at the grocery store. To find the slope, you can choose two points on the line and calculate the difference in cost divided by the difference in quantity of apples. The slope is the same regardless of the points you choose, and it is equal to the difference in cost divided by the difference in quantity.

Learn more about slope of a line on a graph here:

brainly.com/question/11967677

#SPJ12

What is the value of the expression z-4/-8 when z = –28?

Answers

Hello,

(-28-4)/(-8)=-32/(-8)4

A farm yard contains some pigs and some chickens. Altogether there are 60 heads and 200 legs. How many pigs are there in the yard?

Answers

Answer:

40 pigs.

Step-by-step explanation:

p=pigs c=chickens.

4p=pigs have 4 legs.

2c=chickens have 2 legs.

4p+2c=200

p+c=60

Do the elimination method:

4p+2c=200

(-4)p+c=60

4p+2c=200

-4p-4c=-240

-2c=-40

c=20

p+20=60

p=60-20

p=40

Hope this helps!

BRAINLIEST would help me a lot:)

Can someone help me with this please, I would really appreciate it, thank you!
(Geometry)

Answers

Answer:

a. B

b. 4

c. BD

Step-by-step explanation:

a. Point A is at -7; point D is at +1. The distance between these points is ...

1 -(-7) = 8

The midpoint will be 8/2 = 4 units from either end so will be at ...

A +4 = -7 +4 = -3

D -4 = 1 -4 = -3

The point located at -3 is point B, the midpoint of AD.

b. Having done the above calculations, we know that segment AB is 4 units long.

c. We also know that segment BD is 4 units long. That is because the midpoint divides a segment into two equal parts.

Suppose that you roll a pair of honest dice. If you roll a total of 6, you win $18; if you roll a total of 11, you win $72; if you roll any other total, you lose $9. Let X denote the payoff in a single play of this game. Find the expected value of a play of this game. Round your answer to the nearest penny.A.) - $0.50B.) − $1.00C.) $0D.) $0.75E.) − $0.75

Answers

You can roll a total of 6 by rolling (1, 5), (2, 4), (3, 3), (4, 2), or (5, 1). There are 36 total possible rolls that can be obtained, so you roll a total of 6 with probability 5/36.

You can roll a total of 11 by rolling (5, 6) or (6, 5), hence with probability 2/36 = 1/18.

Any of the other remaining 29 outcomes occurs with probability 29/36.

The expected value of your winnings is

$18*5/36 + $72*1/18 - $9*29/36 = -$0.75

so the answer is E.

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