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

how to find the mean for negative numbers

Answers

You can find the mean of negative numbers just the same as for positive numbers. It doesn't hurt for the mean to be negative.

For example, with the number -9, -5, -4, -3, -1 you can find the mean jsut as any other numbers

-9+-5+-4+-3+-1=-22

-22/5=-4.4

the mean for those set of numbers is -4.4

4/5 of the money collected from a fundraiser was divided equally among 8 grades
What fraction did each grade receive?​

Answers

Answer:

1/10

Step-by-step explanation:

your equation is 4/5 divided by 8/1.

Lets solve that problem with the acronym KCF, or

Keep

Change

Flip.

K: "keep" the first fraction, or the one you are multiplying with, so 4/5 stays the same.

C: "change" the division sign to a multiplication sign, so 4/5x8/1

F: "flip" the second fraction, so 8/1 becomes 1/8.

now our equation is 4/5x1/8. If we solve that, we get 4/40, which reduced is 1/10.

What is this property 5+8=8+5

Answers

Answer:

this property is commutative property

Answer:

Commutative

Step-by-step explanation:

A rectangle has an area of (4x+12) square units. Write Three multiplication expressions that can represent the product of the length and the width of the rectangle.

Answers

Answer:

This is easy to do on your own.  Just think of 3 numbers, put them in for x, solve, and show your work.

Step-by-step explanation:

An airplane on autopilot took 5 hours to travel​ 3,475 kilometers. What is the unit rate for kilometers per​ hour?

Answers

Answer:

695/kph

Step-by-step explanation:

Divide the kilometers (3475) by the number of hours (5)

to get 695

What should I write ?

Answers

Answer:

It is true because 3/6 is that smallest fraction or "simplest form" of 6/12

Step-by-step explanation:

6/12 does simplify to 3/6 because if you divide 2 by 6 and 12 you’ll get 3 and 6, and you cannot simplify 3/6 further.

[−1 3/5⋅(−6)]⋅(−3 3/4)⋅10

Answers

Answer:

The answer will be -300

Step-by-step explanation:

Doing this in a calculator, it will give you -300

A newspaper collected information on schools in its circulation area in order to compare their quality. Two measures the newspaper collected for each school, mean class size and mean score on a statewide reading exam, are shown in the scatterplot. One school in the report, Springside Elementary, is labeled in the graph.

Which is a true statement regarding Springside?
Springside does not affect the correlation.
Springside weakens the correlation shown in the scatterplot.
Springside strengthens the correlation shown in the scatterplot.
Removing Springside would increase the value of the correlation coefficient.

Answers

Interpreting the scatterplot, it is found that the correct option is:

Springside weakens the correlation shown in the scatterplot.

In the scatterplot, the mean test score is plotted as function of the mean class-size.From this, we can verify that as the mean class size increases, the mean score decreases, that is, there is a negative correlation between the mean class size and the mean test score.However, for Springside, the mean test score is greater than most other schools with smaller class sizes, which is a different result than expected, thus, it weakens the correlation, and the correct option is:

Springside weakens the correlation shown in the scatterplot.

A similar problem is given at https://brainly.com/question/13961820

Translate the equation and solve.
50% of what is $30?

Answers

Answer:

15

Step-by-step explanation:

divided 30 by 2 only work for the 50%

Oh i think this is wrong but i tried sorry

Answer:

$15 :)

Step-by-step explanation:

You have to move the decimal 2× to the left on the 15%, then multiply it by $30 ♡

Answer clearly !!
Find the area

Answers

For height of garden we can use Phytagoreaan Theorem :

h² = 25² - 7²

h² = 625 - 49

h² = 576

h = 16 m

Area

= 1/2 × base × height

= 1/2 × 14 m × 16 m

= 7 m × 16 m

= 112 m²

Write this ratio as a fraction in the simplest form without any units. 8 yards to 15 feet. full anwser.

Answers

Answer:

8/3

Step-by-step explanation:

15 feet = 3 yards

8 yards to 3 yards

Your welcome!

Kayden Kohl

8th Grade Student

1/4 to the power of 7 times 1/4 to the power of -4

Answers

Answer:

0.015625

Step-by-step explanation:

the answer is 0.015625

Answer:

1/4^3

Step-by-step explanation:

1/4^7 x 1/4^-4 = 1/4^ 7+-4

=1/4^3

What is the value of x?

Answers

Answer:

x=50

Step-by-step explanation:

2x+20=3x-30

2x-3x=-x

20+30=50

-x+50=0

-x=-50

x=50

The value of x is 50

what are the rules for adding and subtracting negatives and positives?

Answers

Answer:

Adding positive numbers results in a higher number

Add negative numbers result in a low number

Adding them together just brings the integer closer to 0

Answer:

When adding positive numbers, count to the right. ------>

When adding negative numbers, count to the left. <-------

When subtracting positive numbers, count to the left. <-------

When subtracting negative numbers, count to the right. ------->

Link to Khan Academy to help you better understand: https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-negative-numbers-add-and-subtract/cc-7th-sub-neg-intro/v/adding-and-subtracting-negative-number-examples

Khan Academy is a great place to get helpful videos for math homework. Hope this helps (:

Somebody help me please

Answers

A I think … maybe b forgive me if I’m wrong

Help me please

x/3+12=2

Answers

Answer:

x = -30

Step-by-step explanation:

minus 12 on both sides

updated equation: x/3=-10

multiply 3 on both sides

updated equation

x = -30

To join the tennis club, there is a $29.90
initial fee and a $4.40 yearly fee. Write an
equation in slope-intercept form where x
represents the number of years enrolled in
the club, and y represents the total amount
of fees paid.

Answers

Answer:

y = 4.40x + 29.90

Hope this helps! Do let me know if you need any explanation :)

Each scatter plot below shows the same data.

Which scatter plot has the most reasonable line of best fit?

Answers

Answer:

bottom right corner

Step-by-step explanation:

Answer:

Step-by-step explanation:

Scatter plots' primary uses are to observe and show relationships between two numeric variables. ... Relationships between variables can be described in many ways: positive or negative, strong or weak, linear or nonlinear. A scatter plot can also be useful for identifying other patterns in data.

Find the measure of each missing angle

I’ll give BRAINLEST!!

Answers

Answer:

angle 4 = 115°[vertically opposite angles]

angle 2+ angle 4=180°[linear pair]

angle 2+ 115 = 180°

angle 2 = 180°-115°

angle 2=65°

angle1+angle2+80°=180°[sum of all angles is 180°]

angle1+65°+80°=180°

angle 1 + 140° = 180°

angle 1=180°-140°

angle1 =40°

angle2= angle5[vertically opposite angles]

angle7+angle5+61°+90°=360°[sum of all angles of quadrilateral is 360°]

angle7+ 65°+ 61° +90°=360°

angle7+ 211°=360°

angle7=360°-211°

angle7=149°

angle7+angle6=180°[linear equation]

149°+angle6=180°

angle6=180°-149°

angle6=31°

angle4+angle6+angle3= 180°[by sum of all angles is 180°]

115°+31+angle3=180°

146°+angle3=180°

angle3=180°-149°

anble3=41°

Quadrilateral MARK will be reflected across the z-axis and then rotated 90° clockwise about the origin to create quadrilateral M"A"R"K". If M is located at - (-3,7)
What will be the y-coordinate of M”?

Answers

The answer is 3

Step-by-step explanation:

I have the answer key pdf and, that is what the answer said, so I am pretty sure this is right.

Y varies directly with x. When y is 105, x is 7. What is k

Answers

Answer:

Given:

y

varies inversely with

x

.

So, we can write it as:

y

1

x

Some friends played a board game. During the game, one unlucky player had to move back 4 spaces 5 turns in a row.
Find a number to represent that player's movements for those 5 turns

Answers

It is mxkjdjxjxjjx6+9

Answer:

-9 * 7 = -63

Step-by-step explanation:

Cameron had a balance of $450.00 in his account, and then he made a purchase for $517.50. What is the
new balance in his account?

Answers

Answer:

-$67.50

450 - 517.5 = -67.5

Factorise the link expression 5(x- 2) - y(2-x)

Answers

Step-by-step explanation:

5(x- 2) - y(2-x)

5(x- 2) - -y(x-2)

5(x- 2) + y(x-2)

=(5+y) (x-2)

Pleaseee Help me plzz

Answers

Answer:

70

Step-by-step explanation:

Help
Meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

c definitely c hope this helps

if x:y = 2:5, find the value of (x + y) : (2x-3y)

Answers

Answer:

(x + y) : (2x-3y) = - 7/11

Step-by-step explanation:

The ratio is denoting:

x = 2

y = 5

Substitute your values into the equation's variables (x and y). Then solve.

(x + y) : (2x-3y)

(2 + 5 ) : [2(2) - 3(5) }

7 : [4-15]

7: -11

ratios can be turned into fractions.

7: -11 is the same thing as - 7/11

write the equation of the graph in slope intercept form


(3,-3) (-3,-5)

m= -4​

Answers

Answer:

y = -4x + 9

Step-by-step explanation:

Slope intercept form is:

y = mx + b

If m = -4

y = -4x + b

Plug the values of the first set of coordinates into this:

y = -4x + b

-3 = -4(3) + b

-3 = -12 + b

Add 12 to both sides of the equation to isolate b:

-3 + 12 = -12 + b + 12

9 = b

So that makes the slope intercept form:

y = -4x + 9

Hope this helps!

Spot the mistake! help please

I will give 5 stars and a favorite

Answers

Answer: Diego's mistake is that he multiplied the exponents, instead of adding. The answer should be 2^3+^2= 2^5

Rewrite without parentheses and simplify.
(x-6)?

Answers

Answer:

x-6

Step by step explanation:

1. If x equaled 3 then we would replace x with three.

2. We would then take the simplified equation and subtract.

3. 3-6 = 3

If this helped please consider marking this answer brainliest!!

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