Which formula(s) can be used to find the nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series?

Which Formula(s) Can Be Used To Find The Nth Partial Sum Of An Arithmetic Sequence Or The Sum Of The

Answers

Answer 1

Answer:

First Option : Sₙ= n/2(a₁ + aₙ)

Step-by-step explanation:

The nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series can be defined as the sum of a finite number of term in an arithmetic sequence.

It is calculated using the formula:

Sₙ= n/2(a₁ + aₙ)

Where :

a₁ = First term

aₙ = last term

n = number of terms


Related Questions

what is f(x) = 2 ∗ 5−x

Answers

x=10 if you are looking for the x value

Step-by-step explanation:

What happens to the parabola when a<1 compared to the parent function?

Answers

Answer: The parabola is wider than the parent function

Step-by-step explanation:

If "a" is a fraction less than one, then the parabola becomes wider.

See graph (attached)

There is 25 coins in a bag, 5 of them are quarters. What is the probability of getting a quarter? Express as all four types of probability.

Answers

Answer:

Step-by-step explanation:

The ptobability of getting a quarter is 5/25 to the simpliest form is 1/5

The four probability is basic probability, compound event, independent and dependent event and the probability line.

I hope it'll help you much

Thank you for asking

What is the estimate of 3 1/5 - 2 1/2 + 2 3/5? Show your work

Answers

Answer:

3

Step-by-step explanation:

3 1/5 - 2 1/2 +2 3/5

3 1/5 ➡is about 3

-2 1/2 ➡is about 3

2 3/5➡is about 3

3-3+3=3

Two rectangles are joined together to form a single large area. The rectangles do not overlap. The first rectangle has side lengths of 10 meters and 3 meters. The second rectangle has side lengths of 3 meters and 8 meters. What is the combined area? *

Answers

Answer:

54

Step-by-step explanation:

Since they don’t overlap, just find the area of each rectangle and add it together. for example, the first rectangle will be 30 because 3x10=30. the second rectangle will be 24 because 3x8=24. 30+24=54. hope this helped :)

Multiple choice please please answer

Answers

Answer:

[tex] \purple { \boxed{x = 25 \times \sin \: 39 \degree}}[/tex]

Step-by-step explanation:

[tex] \sin \: 39 \degree = \frac{x}{25} \\ 25 \times \sin \: 39 \degree = x \\ \huge \red{ \boxed{x = 25 \times \sin \: 39 \degree}}[/tex]

A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters. What is the total volume of a 6-pack of juice cans? Tell the steps you used to calculate your response. *

Answers

Answer:

It was a cylinder shape

volume of cylinder is

= \pi {r}^{2} h

Radius of the can

=6.6÷2

=3.3

Volume of 6 can

6(3.142 \times  {3.3}^{2}  \times 12.1) \\ =  6(3.142 \times 10.89 \times 12.1) \\ =  6(34.21638 \times 12.1) \\  = 6(414.018198) \\ = 2484.109188 \\   = 2484.11 \: (2d.p.)

Answer

2484.11

Step-by-step explanation:

Help me answer this question pls

Answers

I believe it's a scalene triangle.

We could mark that ME = d, where d= diamater.

For segment TE, we can tell it is different length then all of the other lines.

Now, would MT be equivalent to ME in length? No. I can tell that segment MT is a tiny bit shorter than ME.

Why? If we look at line TE, we can tell that it is not perfectly horizontal; it is slanted to the left. By logic, we can deduce that because the left slant brings T ever so closely to M, there is a shorter distance between M and T than M and E.

If none of the sides are the same length, the triangle is scalene.

If you are able, I'd really appreciate a rating, or if you have questions, I'd be happy to answer.

Need help ASAP. WILL MARK BRAINLIEST.

Answers

Answer:

The answer is 9.43 cm.

Step-by-step explanation:

The formula for circumference is πd or 2πr.

The diameter is the radius times 2. 1.5 times 2 is 3.

3 times π is about 9.43.

I hope this helps! :)

A rectangular prism has a length of 19ft, a height of 19ft, and a width of 6ft. What is its volume, in cubic ft?

Answers

Answer:

[tex] \boxed{Volume \: of \: rectangular \: prism = 2166 \: {ft}^{3}} [/tex]

Explanation:

Volume of rectangular prism is same as volume of cuboid

Length = 19 ft

Width = 6 ft

Height = 19 ft

Volume of rectangular prism = Length × Width × Height

= 19 × 19 × 6

= 19² × 6

= 361 × 6

= 2166 ft³

Emma great grandparents lived in a log cabin with their 3 children. The log cabin had a floor area of 450 square feet. The ceiling is only 7 feet hight. What is the volumr of the log cabin

Answers

Answer:

The volume is 3150ft³

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, cuboid

Given data

Area =450 ft²

Height h =7ft

We know that the volume of a cuboid

Volume = length x width x height

Volume =lbh

Volume = area x height

Volume = 450*7= 3150ft³

Need help ASAP. WILL MARK BRAINLIEST.

Answers

Answer:

8.6 cm

Step-by-step explanation:

Please see the picture attached below.

0.5(-14+12.6)
———————
9.32+(-7.92)

Answers

Steps to solve:

0.5(-14 + 12.6)

~Add whats in parenthesis

0.5(-1.4)

~Multiply

-0.7

Steps to solve:

9.32 + (-7.92)

~Simplify

9.32 - 7.92

~Subtract

1.4

Best of Luck!

A bag of marbpes contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marbpe. What is the probability of reaching into the bag and selecting a yellow marble

Answers

Answer:

1/6 or 1.6666666

Step-by-step explanation:

12 marbles, 2 yellow

12/2= 6

1/6

Terrence gets a loan with a $50 processing fee. The loan is for $700 with an interest rate of 8% for one

year.

The interest on the loan is

The APR on this loan is

Answers

Answer:

15.14%

Step-by-step explanation:

The formula for APR is stated thus:

APR=fees+interest/principal/n*365*100

principal is the loan amount of $700

fees is the processing fees on the loan which is $50

interest amount=principal*interest %=$700*8%=$56

n is the number of days of the loan which is a year i.e 365 days

APR=($50+$56)/$700/365*365*100

APR=$106/$700/365*365*100

APR=0.151428571 /365*365*100

APR=0.151428571 *100=15.14%

The annual percentage rate on the loan is 15.14% which represents the actual cost on the loan not just the interest cost of 8% annually

the sum of three consecutive odd numbers is seventy-five. what is the smallest of the three numbers

Answers

Step-by-step explanation:

The three numbers are 23 25 and 27

23 + 25 + 27 = 75

The smallest number is 23

Using the linear combination method, what is the solution to the system of linear equations 7 x minus 2 y = negative 20 and 9 x + 4 y = negative 6? (–3, 2) (–2, 3) (2, –3) (3, –2)

Answers

Answer:

(-2, 3)

Step-by-step explanation:

(7x-2y= -20)2

9x+4y-6

14x-4y=-40

9x+4y-6

23x= -46

x= -2

9(-2)+4y= -6

-18+4y= -6

4y= -6+18

4y=12

y=3

so,(-2,3)

Answer:

(-2,3)

Step-by-step explanation:

i took the test

Use the order of operations to simplify -5 + 3(7.2 - 3.2).
A. 7
B. 7 3/5
C. -8
D. 12 2/5​. the answer is 7 for those who need help with the same question

Answers

-5+3(7.2-3.2)
=-5+3(4.0)
=-5+12
=12-5
=7

Answer:

a

Step-by-step explanation:

Jessi has 9 feet of blue fabric. She need one third of that amount in red fabric. The fabric store sells fabric by the yard. How much fabric does Jessie need to buy?

Answers

Answer:

1 yard

Step-by-step explanation:

Let b represent the amount of blue fabric and r represent the amount of red fabric.

Given;

Jessi has 9 feet of blue fabric

b = 9 ft

She need one third of that amount in red fabric.

r = 1/3 × b

Substituting the value of b;

The amount of red fabric needed r is;

r = 1/3 × 9 = 3 ft

Since they sell in yards , we need to convert it to yards.

1 yard = 3 feets

Therefore,

r = 3 ft × 1/3 yard per ft

r = 1 yard

I need this answer please tell me the answer

Answers

Answer:

less than

[tex]1 \frac{1}{2} [/tex]

I believe

Peg rode her bike for 1 \text{ kilometer}1 kilometer1, start text, space, k, i, l, o, m, e, t, e, r, end text before stopping. Lauren rode for 602 \text{ meters}602 meters602, start text, space, m, e, t, e, r, s, end text before stopping.
How many meters farther did Peg ride than Lauren?

Answers

Answer:

2x45+67

ffffthe

Step-by-step explanation:

Answer:398  not  2x45+67

I am giving 25 points
Hailey organizes a New Year’s party. There are 16
pastries at the party, 7 of the pastries
are chocolate. What is the relative
frequency probability that a randomly
selected pastry will be a chocolate
pastry?

Answers

Answer:

[tex]\frac{7}{16}[/tex]

Since there are 16 pastries in total, and 7 of them are chocolate, this will become your probability.

So, since the total is 16, this will be the denominator, and the 7 will be the numerator.

So, it will be [tex]\frac{7}{16}[/tex]

set f(y)=x and solve for y

Answers

Answer:

f = 1

y = 0

Solved for y

Step-by-step explanation:

Step  1  :

Pulling out like terms/ factors.

Step  2  :

Theory - Roots of a product .

Step 3 solving a Single Variable Equation.

Answers:

 f = 1

y = 0

Hope this helps.

A swimming pool is in the shape of a right rectangular prism. The base of the pool has an area of 216 square feet. When the pool is completely filled, it holds 1,944 cubic feet of water. What is the depth of the water when the pool is completely full?

Answers

Answer:

Just divide

1944/216=9

9 feet deep

Hope this helps

Step-by-step explanation:

The transformation from the function f(x) = 3X to the function f(x)= 3x+4 indicate

Answers

Explanation this function of the graph is leveled by x axis
Answer: that is it examples

what is s+53=g so g=68 so how old is sweet age add

Answers

Answer:

s = 15

Step-by-step explanation:

Using the given information to solve for s, the work would look something like this:

s + 53 =g, g=68

s + 53 = 68 (Subtract 53 from both sides to get s by itself)

53 - 53 = 0, 68 - 53 = 15

s = 15

Therefore, s is equal to 15

Hope this helps! Have a good rest of your day!

Answer:

15

Step-by-step explanation:

This is very simple, first we write the equation, s+53=g, and plug 68 into "g", so now we have s+53=68. Subtract both sides, s+53-53=68-53, and this equals 15 years of age

s varies directly as t, and = 8 when = 16. Find the constant of variation and write a direct variation equation relating s and t. Then find t when = 16. (Write answers in decimal form.)

constant of variation:

direct variation equation:

when s=16, t=

Answers

Answer:

aS

Step-tep explanation:

Can someone please help me? I keep losing points...

CORRECT ANSWERS ONLY PLEASE!!!!

Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Round your answer to the nearest cent.

Answers

Answer:

$5,490

Step-by-step explanation:

i = prt

i = ($61,000)(.03)(3)

5,490

Answer:

$5490

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 61000 × 3/100 × 3

I = $5490

Avril wants to puts trim around the border of one of the walls in her room. The dimensions of the wall is 10 x 15 ft. Will she need to find the area or the perimeter of the wall to figure out how much trim she needs? How much trim does she need?

Answers

she will need to find the perimeter of the wall and the perimeter is 150ft

Answer:Perimeter, 50ft

Step-by-step explanation:since it is around the answer is 50 ft

Maya is asked to find the GCF of each term in the expression 32 x y minus 18 y. Her work is shown below. Factors of 32xy: 1, 2, 4, 8, 16, 32, x, y Factors of 18y: 1, 2, 3, 6, 9, 18, y GCF: (1) (2) (x) (y) The GCF is 2 x y. Which best describes the accuracy of Maya’s solution? Maya’s solution is accurate. Maya factored 32xy incorrectly. Maya factored 18y incorrectly. Maya factored correctly, but did not find the correct GCF.

Answers

Answer: The answer is "Maya factored correctly, but did not find the correct GCF."

Step-by-step explanation:

I just took the quiz on Edgenunity.

Answer:

Answer: Mya factored correctly, but did not find the correct GCF.

Step-by-step explanation:

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