The 8th term of an arithmetic sequence is 3 and the 100th term is 49. What is the recursive formula for the sequence?

Answers

Answer 1

Answer:

uₙ₊₁ = uₙ + ¹/₂

Step-by-step explanation:

uₙ₊₁ = uₙ + d

u₈ = 3

u₁₀₀ = 49

We can establish the following:

u₉ = 3 + d

u₁₀ = (3 + d) + d = 3 + 2d

u₁₁ = (3 + 2d) + d = 3 + 3d

so...

u₈₊ₐ = 3 + ad

u₁₀₀ = u₈₊₉₂ = 3 + 92d

3 + 92d = 49

92d = 46

d = ¹/₂

∴ uₙ₊₁ = uₙ + ¹/₂


Related Questions

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation
h =
- 6t2 + 6t where h is the frog's height in meters at any given time, t. Find the maximum height the frog reached

Answers

I’m not sure but goodluck!!!

This is the fourth one !

Answers

Answer and Step-by-step explanation:

Angle B' is congruent to Angle B.

The measure of an angle stays the same when dilating, translating, and other transformations.

#teamtrees #PAW (Plant And Water)

Can someone help me with this question

Answers

Answer:

The two minimum numbers = 5, 5

Step-by-step explanation:

Let the first number = x

let the second number = y

Their sum: x + y = 10

Sum of their squares:  = x² + y²

y = 10 - x

f(x) = x² + (10 - x)²

f(x) = x² + 100 - 20x  + x²

f(x) = 2x² - 20x  +  100

Find the derivative of f(x), to obtain the critical points;

f'(x) = 4x - 20

4x - 20 = 0

4x = 20

x = 5

The value of y is calculated as;

y = 10 - x

y = 10 - 5

y = 5

The two minimum numbers = 5, 5

UB needs to need to create a team of 4 players for the competition out of 10 volunteers. How many
different teams are possible?

Answers

Answer:

604,800

Step-by-step explanation:

10*9*8*7*6*5*4

Find the nth term of the geometric sequence whose initial term is a1
= 0.5 and common ratio is 10
(Your answer must be a function of n.)

Answers

Answer:

Step-by-step explanation:

geometric progresion formula:

[tex]a_n=a_1*r^{n-1}\\a_1=0.5\\r=10\\a_n=0.5*10^{n-1}[/tex]

An item costs S430 before tax, and the sales tax is $17.20.
Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

Step-by-step explanation:

430

x4%

_________

$17.20+ $430= $447.20


Two and three fifths plus one and three fifths

Answers

Answer:

2 3 + 1 3 = 3/5 + 3/5 = 1 1/5 + 2+1 = 3 + 1 !/5 = 4 1/5

5 5

Step-by-step explanation: The Slashes mean The number bellow

Please make this answer Brainlist...

Help pls it’s urgent. If your able to solve it than I’d really would appreciate you.

Answers

Answer:

Step-by-step explanation:

If the radius of the circle is equal to

[tex]\sqrt{\frac{A}{3} }[/tex] and the area is given as 45, then

[tex]r=\sqrt{\frac{45}{3} }[/tex] which simplifies to

[tex]r=\sqrt{15}[/tex] and to the nearest tenth,

r = 3.9

Factor the expression. x2 + 7x+ 10​

Answers

Answer:

Make me a Brainlist pls

Step-by-step explanation:

x²+7x+10=0

ur answer is there in image

In the past year, Latoya watched 33 movies that she thought were very good. She watched 60 movies over the whole year. Of the movies she watched, what
percentage did she think were very good?

Answers

Answer:

55%

Step-by-step explanation:

Just do 33/60 and multiply by 100

i need help on this one please help! (listing BRAINLIST and giving points) ​:D​

Answers

Answer:

tan C is 90

tan B is 60

tan A is 60

C 90
B 60
A 60
Hope this helps :D

Fine the probability. I NEED THE STEPS IF POSSIBLE

Answers

Answer:

1/6x1/2=1/12

Step-by-step explanation:

The table shows how the time it takes a train to travel between two cities depends on its average speed. The table shows how the time it takes a train to travel between two cities depends on its average speed Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour? What does the number 160 represent in the rational function that models the situation? distance, in miles, between the cities amount of fuel, in gallons, used by the train time, in minutes, needed to travel between the cities

Answers

Answer:

Step-by-step explanation:

Which rational function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour?  

✔ y = 160/x

What does the number 160 represent in the rational function that models the situation?

✔distance, in miles, between the cities

amount of fuel, in gallons, used by the train

time, in minutes, needed to travel between the cities  

Answer: NOTE Pictures Are not in order! Make sure you check page number.

Step-by-step explanation:

On page 6 the answers are ”C” and ”5lbs”

On page 7 the answers are “C”, “$ 418”, “ The cat”, and then “ $960”.

On page 8 the answers are : < Just copy paste this below.>

                                                               

“Based on the calculation, they should purchase the second television as the cost is cheaper.

Based on the information given in the question, the cost of the first television will be:

= $330 + ($14 × 8)

= $330 + $102

= $442

The cost of the second television will be:

= $369 + ($9 × 8)

= $369 + $72

= $441

Therefore, the second television is cheaper.”

                   ^    

<Just copy paste this. >           [Then check. “A,B,C,”.]

On page 9 the answer is “ D “.

What percent of 50 is 44

Answers

Answer:

here u go

Step-by-step explanation:

88%

Answer:

88% of 50 is 44

Step-by-step explanation:

50x=44

x=44/50

x=0.88

Therefore, 88% of 50 is 44

what number is exactly halfway between 2.5 and 3.5​

Answers

Answer:

3 is exactly halfway between 2.5 and 3.5​.

Step-by-step explanation:

The first number is 2.5

The second number is 3.5

We need to find the number that is exactly halfway between 2.5 and 3.5​. It can be calculated as follows :

[tex]n=\dfrac{2.5+3.5}{2}\\\\n=\dfrac{6}{2}\\\\n=3[/tex]

Hence, 3 is exactly halfway between 2.5 and 3.5​.

Olivia randomly samples 50 students attending a basketball game and asks what grade they are in. Of the studets surveyed, 19 were in the seventh grade. I
there are 200 students attending the basketball game, based on the sample, how many of them are in seventh grade?

Answers

Answer:

76

Step-by-step explanation:

19 out of 50 are in 7th grade.

200/50 = 4

Multiply both numbers in the ratio by 4.

19 out of 50 = 76 out of 200

Answer: 76

how many and what type of solution does 6x^2 -3x+ 5

Answers

Step-by-step explanation:

6x² -3x+ 5 =0

Discriminant = b²-4ac

D = 9 - 4(6)(5)

= 9 - 120

= -111

there is not real root solution

What is the value of x?

Answers

Answer:12

Step-by-step explanation:

A company operates three machines during three shifts each day. From production records, the data in the table below were collected. At the .05 level of significance test to determine if the number of breakdowns is independent of the shift.

Machine
Shift A B C
1 Observed 46 11 13
Expected 40.27933 14.07821 15.64246
2 Observed 37 10 11
Expected 33.3743 11.6648 12.96089
3 Observed 20 15 16
Expected 29.34637 10.25698 11.39665

a. Yes, you can reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.0423
b. Yes, you can reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.9577
c. No, you cannot reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.0423
d. No, you cannot reject the claim that the number of breakdowns is independent of the shift because the p-value = 0.9577

Answers

The answer is going to be option b. The p-value = 0.0423

A container holds 3.01 grams of
calcium powder for dogs. What is its
weight in centigrams?
Conv
3,010 cg
301 og
30.1 cg
0.0301 og
What is its weight in centigrams

Answers

Answer:

ur dog water kid *take the L dance

Step-by-step explanation:

cheese

3.01 grams = 301 centigrams

(04.02 MC)
Segment AB falls on line 2x - 4y = 8. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?

Answers

Answer:

A

Step-by-step explanation:

A ladder is 74 inches tall. How tall is it in feet and inches?

Answers

Answer:1 inch = 0.0833333 feet so 74 x 0.0833333 = 6.16667

Step-by-step explanation:

It’s 6 ft and 2inches tall I hope this helps good luck!

o
63°
Please helppppp

Answers

Answer:

27

Step-by-step explanation:

180 - 90 - 63 = 27

all angles in a triangle add up to 180 degrees

yeah, the answer is 23


hope this helps!


step by step explanation:

Please help!
An 80% confidence interval is found to be (200,240). What is the margin of error? O A. 32 O B. 20 O C. 40 O D. 16 SUBMIT​

Answers

Answer:

The margin of error is of 20, option B.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the subtraction between the bounds, divided by 2.

In this question:

Lower bound: 200

Upper bound: 240

Margin of error:

(240 - 200)/2 = 40/2 = 20

The margin of error is of 20, option B.

: A pack of crayon was shared between two friend Shantel and Carl in the ratio 3:5. If Shantel received 27 crayons, how many crayons were in the pack? *

Answers

Answer:

72 crayons

Step-by-step explanation:

8/3 × 27 = 72 crayons

Somebody Please Help!!!

Answers

Step-by-step explanation:

11. shape 1 => A = ½×17×10=85m²

shape 2=> A = 17×9 =153 m²

total area = 238 m²

12. shape 1 => A = 7×3= 21 m²

shape 2=> A = 3×2 = 6 m²

total area = 27 m²

What function is represented in the graph

Answers

Y= 2(.3^x)
Explanation:
Graphing it

A nurse mixes 90 cc of a 45% saline solution with a 10% saline solution to produce a 20% saline solution. How much of the 10% solution should he use?

Answers

Answer:

225cc

Step-by-step explanation:

the solution is attached to the picture.

The amount of the 10% solution should he use if the nurse mixes 90 cc of a 45% saline solution with a 10% saline solution is 225cc

Functions and percentages

Let the amount of 10% solution she should use be x.

If a nurse mixes 90 cc of a 45% saline solution with a 10% saline solution to produce a 20% saline solution, the equivalent equation will be:

90(0.45) + 0.1x = 0.2(90+x)

Simplify the resulting equation for "x"

40.5 + 0.1x = 18 + 0.2x
0.1x = 40.5 - 18
0.1x = 22.5
x = 225cc

Hence the amount of the 10% solution should he use if the nurse mixes 90 cc of a 45% saline solution with a 10% saline solution is 225cc

Learn more on proportion here: https://brainly.com/question/19994681

How much is 142,560 inches in miles

Answers

Answer:

11880 ft

Step-by-step explanation:

12 in = 1 ft

142560/12 = 11880

2.25 miles is the answer

What is the surface area of the prism shown below?
Your response should show all necessary calculations and diagrams.

Answers

Answer:

376 inches squared.

Step-by-step explanation:

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