How do I solve this arithmetic sequence?

How Do I Solve This Arithmetic Sequence?

Answers

Answer 1

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist


Related Questions

.222222222 as a fraction Please help

Answers

Answer:

222222222/1000000000

Step-by-step explanation:

Solve the inequality.
2x-5<9
The solution is:

Answers

Answer:

x < 7

Step-by-step explanation:

Given

2x - 5 < 9 ( add 5 to both sides )

2x < 14 ( divide both sides by 2 )

x < 7

A carnival game has 160 rubber ducks floating in a pool. The person playing the game takes out one duck and looks at it.

If there’s a red mark on the bottom of the duck, the person wins a small prize.
If there’s a blue mark on the bottom of the duck, the person wins a large prize.
Many ducks do not have a mark.

After 50 people have played the game, only 3 of them have won a small prize, and none of them have won a large prize.

Estimate the number of the 160 ducks that you think have red marks on the bottom

Answers

Answer:

Here is the answer

Step-by-step explanation:

That will show you.

A recipe for cooking rice indicates that 14 cups of boiling water are needed for 8 cups of rice.

if henri has 28 cups of boiling water how much cups of rice should he add


(WILL GIVE BRAINLIST FOR BEST ANSWER!)

Answers

Hello!

This is a question about ratios and relating them to multiples of the ratio.

We are given that a recipe for cooking rice requires 14 cups of boiling water for every 8 cups of rice.

Then we are asked how many cups of rice are needing to be added if we have 28 cups of boiling water.

Since 28 is two times 14, and assuming that this ratio is proportional, we can multiply the cups of rice by 2 to find the equal ratio.

That means that 16 cups of rice should be added if we have 28 cups of boiling water.

In terms of ratios, we can set up the following proportion.

[tex]\frac{14}{8}=\frac{28}{x}[/tex]

Then here, we can cross multiply and solve for [tex]x[/tex].

[tex]14x=224[/tex]

[tex]x=16[/tex]

Hope this helps!

Dada la recta L1:x+(m+2)y=n−5 pasa por el punto (1,2) y que es paralelo a la recta L2:3y=2x−4. Determine m+n .

Answers

Answer:

-1/2

Step-by-step explanation:

The point slope form of equation of a line is expressed as;

[tex]y - y_{0} = m(x-x_0)[/tex]

m is the slope

(x₀, y₀) is the point on the line

Given

(x₀, y₀) = (1, 2)

Given the equation 3y = 2x - 4

Rewrite the equation

y = 2/3x - 4/3

mx = 2/3x

m = 2/3

The slope is 2/3

Substitute the slope and the point into the formula above

[tex]y -y_0 =m(x-x_0)\\y - 2 = 2/3(x - 1)\\3(y-2) = 2(x-1)\\3y - 6 = 2x - 2\\Swap\\2x - 2 = 3y - 6\\2x - 3y = -6 + 2\\2x - 3y = -4\\x - 3/2 y = -4/2\\x - 3/2 y= -2[/tex]

Compare the expression to x+(m+2)y=n−5

m + 2 = -3/2

m = -3/2 - 2

m = -7/2

Similarly

n - 5 = -2

n = -2 + 5

n = 3

m + n = -7/2 + 3

m + n = -1/2

hence the sum of m and n is -1/2

PLz help


how would you represent this situation( Write the equation or inequality.)
On a carnival ride you must be at least 42 inches tall to ride

Answers

Answer:

x≥k   y for you y≥42 inches tall

Step-by-step explanation:

can i have brainliest if right

Joe wants to rent a boat and spend less than $33. Boat cost $7 per hour, and Joe has a discount coupon for $9 off. What are the possible numbers of hours Joe could rent the boat? Use t for the number of hours. Write your answer as an inequality solved for t.

Answers

Inequality: 7t - 9 < 33
Solve the inequality
7t < 42
t < 6

$7 per hour plus $9 off

$7x5=$35-$9 discount=$26

$26+$7=$33

6hours=$42-$9=$33

Joe could rent the boat for 6 hours

9. The lengths of the sides of a triangle are 8 and 12. The length of the third side must be between what
two numbers? Repeat with other side lengths and write a generalization for sides of lengths a and b,
where b>a.

Answers

Answer:

b>a

Step-by-step explanation:

correct just divide then subtract

what is the surface area of the cereal box?


A cereal box that is a rectangular prism with dimensions 11 inches by 3 inches by 8 inches.

224 in.2

352 in.2

290 in.2

176 in.2

Answers

Answer: It would be "290 in.2"

Step-by-step explanation:

A certain statistic bˆ is being used to estimate a population parameter B. The expected value of bˆ is equal to B. What property does bˆ exhibit?

Answers

Answer:

Unbiased

Step-by-step explanation:

If b^ is equal to B this means that it is an unbiased estimator. When there is an absence of bias, we have an unbiased estimator. As an unbiased estimator it gives accurate information most of the time. The result it gives is not over estimated and also it is not underestimated.

Expected value = true value

Parameter estimates are correct on average

Thank you

The figure shows two triangles on a coordinate grid:

A coordinate plane with two triangles is shown. Triangle RST has vertices R at 3 comma 4, S at 1 comma 1, and T at 5 comma 1. Triangle R prime S prime T prime has vertices R prime at 2 comma negative 3, S prime at negative 1 comma negative 1 and T prime at negative 1 comma negative 5.

What set of transformations is performed on triangle RST to form triangle R’S’T’?

A 90-degree counterclockwise rotation about the origin followed by a translation 2 units left

A 270-degree counterclockwise rotation about the origin followed by a translation 2
units to the right

A translation 2 units down followed by a 90-degree counterclockwise rotation about the origin

A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin.

Please answer quickly I am in the middle of a test. (Will Give Brainliest.)

Answers

Answer:

D- A translation 2 units down followed by a 270-degree counterclockwise rotation about the origin.

Step-by-step explanation:

I'm sorry that it's late, I still posted it tho so you can give other person branliest.

Hope this helps for other readers :)

Explanation:

If you focus on one point, I'm doing R

if you first translate it down you will go from (3,4) to (3,2)

Then we have R' at (2, -3) which means we need (y, -x)

This can be found with 90 degree clockwise OR 270 degree counterclockwise.

NOLINKS ..................

Answers

Answer:

The answer is in the link

Step-by-step explanation:

quntyfcjb/crown!.com :))))

Ok so use photo math instead

the base of the cylinder? Use 3.14 for n and round the answer
to the nearest hundredth.
h-13 in
r =
in.

Answers

Answer:

r = 7

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

Given:

V = 2000

h = 13

Work:

V = πr²h

r² = V/(πh)

r² = 2000/(3.14 * 13)

r² = 2000/40.82

r² ≈ 49

[tex]\sqrt{r^2} =\sqrt{49}[/tex]

r = 7

Write a linear function f with given values. F(3)=-4, f(5)= -4

Answers

Answer:

y = -4

Step-by-step explanation:

dy/dx gives you slope

(-4)-(-4)/5-3 = 0/2  ----> slope = 0

y = mx+b

m = 0

y = 0x+b

y = b

as it says F(3) and F(5) = -4 b must be -4

so you end up with y = -4

What happens to light when it strikes a smooth shiny surface?

Answers

Step-by-step explanation:

Light reflects from a smooth surface at the same angle as it hits the surface. For a smooth surface, reflected light rays travel in the same direction. This is called specular reflection. For a rough surface, reflected light rays scatter in all directions.

Answer:

When light strikes an object, its rays can be either absorbed or reflected. A solid black object absorbs almost all light, while a shiny smooth surface, such as a mirror, reflects almost all light back. When reflected off a flat mirror, light bounces off at an angle equal to the angle it struck the object.

Step-by-step explanation:

Student grades on a recent science test follow; 78, 81, 89, 75, 76, 91, 10963,
80, 87, 91, 95. Find the MEAN (average) to the nearest tenth.

• 76.9
• 83.0
• 83.8
• 83.3

Answers

Answer:

b

Step-by-step explanation:

took the test good luck

Answer:

Explained below

Step-by-step explanation:

I shall explain this

Add all the numbers together and divide by the number of numbers

[tex]78 + 81 + 89 + 75 + 76 + 91 + 10963 + 80 + 87 + 91 + 95 = answer \div 11 [/tex]

F is a function that describes a sequence and is therefore defined over the positive
integers. Find the first four terms of the sequence.
f(n) = 100(-0.1)n-1

f(0) = -1000, f(1) = 100, f (2) = -10, f(3) = 1
f(1) = -10, f (2) = 1, f (3) = -0.1, f (4) = 0.01
f(1) = 100, f (2) = 10 f(3) = 1, f (4) = 0.1
f(1) = 100, f (2) = -10, f(3) = 1, f (4) = -0.1

Answers

Answer:

Suppose we add up alternate Fibonacci numbers, Fn-1 + Fn+1; that is, what do ... L(1)=1 and L(3)= 4 so their sum is 5 whereas F(2)=1; L(2)=3 and L(4)= 7 so their ... What is the relationship between F(n-2), and F(n+2)? You should be able to find a ... Fib(N); K (an EVEN number!), Lucas(K) and Fib(K) in each expression like ...

Step-by-step explanation:

Cari is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Hartiord was
$225. Now the cost is $335. What is the percent increase? What would be the percent increase the
ainline charges an additional $50 baggage fee with the new ticket price?
The percent increase of the airline ticket is %

Answers

Answer:

The percent of the air ticket went up 148%  plus the baggage fee would be 168%. The new total is 420$

Step-by-step explanation:

Use the data set and line plot below. Jerome studied the feather lengths of some adult fox sparrows.
How long are the longest feathers in the data set?

A.
2
2
inches

B.
2
1
4
214
inches

C.
2
1
2
212
inches

D.
2
3
4
234
inches

Answers

Answer: 2 1/2

Step-by-step explanation:

the answer is D i took the test here is proof

10
Write the equation that describes this situation. Use^for exponents.
7000 dollars is placed in an account with an annual interest rate of 6.5%
for 15 years.

Answers

Answer:

15(6.5% * 7000)+7000=y

Step-by-step explanation:

15(6.5% * 7000)+7000=y

im not sure tho

please please please help​

Answers

Answer:

I wanna say 16 but im not sure

Step-by-step explanation:

how many 5-digit passwords can I make out of the English alphabet. lowercase only​

Answers

Answer:

7,893,600 different combinations

Step-by-step explanation:

Answer:

We have a total.of 26 alphabets in the english language and numbers 0 to 9 will be 10.

Since there are no other limitations, we have to arrange 8 places with the 36 options we have.

It will simply be 36c8.

The answer will be 3,02,60,340.

PLEASE HELP I JUST NEED TO KNOW HOW TO DO IT

Answers

Answer:

y=7, x=7

Step-by-step explanation:

They both equal y, so you can set the right part of the equations equal to each other

4x-21=2x-7

solve for x

2x-21=-7

2x=14

x=7

knowing x, we can now substitute back into one of the original equations to find y

y=4(7)-21=28-21=7

or

y=2(7)-7=14-7=7

Your answer should be x=7 and y=7

O There were 9 bags of
candy donated for the
neighborhood party.
Each bag contained
245 pieces. How much
candy did they have
for the party?

Answers

9*245 =2205
hope this helps

find the area of this polygon

Answers

Answer:

answer is 65 in²

hope this helps

Micah has been learning about Scientific Notation in math class and is frustrated because he doesn’t understand why he needs to learn it. While working on his homework with his mother, she told Micah that Scientific Notation can be very useful in certain careers. What do you think she meant?

Answers

Answer:

Step-by-step explanation:

Draw a two-dimensional representation of each prism. Then find the area of the entire surface of each prism

Answers

Answer:

Surface area of cuboid = 78 unit²

Step-by-step explanation:

Given diagram is a cuboid prism

Given:

Length of cuboid = 5 unit

Width of cuboid = 3 unit

Height of cuboid = 3 unit

Find:

Surface area of cuboid

Computation:

Surface area of cuboid = 2[lb + bh + hl]

Surface area of cuboid = 2[(5)(3) + (3)(3) + (3)(5)]

Surface area of cuboid = 2[15 + 9 + 15]

Surface area of cuboid = 2[39]

Surface area of cuboid = 78 unit²

Write an equation of the line that passes through the point (4, 14) and is parallel to the line whose equation is y=3x-7.

Answers

Answer:

y = 3x + 2

Step-by-step explanation:

If the line is parallel, then the slope remains the same.

To find the y-intercept, just plug the coordinates into the equation

y = 3x + b

14 = 3(4) + b

14 = 12 + b

2 = b

The equation is y = 3x + 2

Answer:

Slope intercept form

y=3x^2−19x+42

or

Point slope form

y−14=(3x−7)⋅(x−4)

Step-by-step explanation:

:)

Approximately how long does it take a sample of francium-223 to decay by 50%?

A. 80 minutes
B. 100 minutes
C. 20 minutes
D. 40 minutes

Answers

By reading off the graph as shown in the question, we can see that the time that is required is 20 minutes.

What is the half life?

The half life is the time that it taken for only half or 50% of the isotopes that were originally present in the sample to remain. We know that the half life does differ by the kind of sample that is used.

In this case, we want to determine  how long does it take a sample of francium-223 to decay by 50%. This could easily be done from the graph of the decay as shown in the question.

Learn more about half life:https://brainly.com/question/24710827

#SPJ1

Angle 1 is an alternate exterior to angle 8.

If angle 1 = 30 degrees, what is the measure of angle 8?

Answers

Answer:

If the two alternate exterior angles are from two parallel lines cut by a transversal, angle 8 would be 30 degrees.

Explanation:

Alternate exterior angles resulting from two parallel lines cut by a transversal are congruent.

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