Mathematics High School

14 A formula for determining the finite sum, S, of an arithmetic sequence of numbers is
S=n/2(a+b)
where n is the number of terms, a is the first term, and b is the last term.
Express b in terms of a, S, and n.

Answers

Answer 1

Answer:

b = 2S/n - a.

Step-by-step explanation:

S=n/2(a + b)

a + b = S / n/2

a + b = 2S/n

b = 2S/n - a.

Answer 2

If the formula for determining the sum of the given arithmetic sequence is S = n/2(a + b), then 'b' can be expressed as b = [(2S/n) - a].

What is an arithmetic sequence ?

An arithmetic sequence is a sequence where the difference between any to consecutive terms are always equal.

Here, a and b are the first and the last terms respectively and n is the number of terms.

Therefore, the sum of the arithmetic sequence is:

S = n/2(a + b)

⇒ 2S/n = (a + b)

⇒ b = (2S/n) - a

Learn more about an arithmetic sequence here: https://brainly.com/question/25715593

#Tag #SPJ2

Related Questions

The area of a square is 1 square foot . What is the length of each side of the square?
A) 1ft.
B) 2ft.
C)3ft.
D)4ft.

Answers

Answer:

A

Step-by-step explanation:

1ft times 1ft is only 1 ft

Answer:

1ft

Step-by-step explanation:

2 1/3 + 3 1/4 as a fraction

Answers

2 1/3 = 7/3
3 1/4 = 13/4
Make like denominators
(7/3)(4/4) = 28/12
(13/4)(3/3) = 39/12
Then add across
67/12 (improper fraction)
in mixed number form: 5 7/12

Answer:

67/12  (just in case if they would ask you for the simplified form the answer in is 5 7/12)

Step-by-step explanation:

convert both mixed fractions to improper fractions first

2 1/3 = 7/3    3 1/4 = 13/4

(cross multiplication method, to make both fractions have the same denominator)

7/3 + 13/4

7/3 × 4/4 = 28/12

13/4 × 3/3 = 39/12

28/12 + 39/12 = 67/12 (just add, denominator will remain the same)

67/12 (simplify)

67/12 = 5 7/12 (simplified)

Is it possible to list all the fractions between 2 and 3? Explain.

Answers

Answer: No

Step-by-step explanation:

There are infinitely many numbers. Numbers so big that they are beyond our comprehnsion. Numbers can also be infinitly small. A fraction is something less than a whole. So the answer is no you can't list them all.

Help me please !!!!!

Answers

Answer:4.2 ft/sec, 63 feet, -2 points

Step-by-step explanation:

1.  21 feet/5 sec = 4.2ft/sec

2.  15 sec*(4.2ft/sec) = 63 feet

3.  2-5-3+4 = -2 points

Evaluate the expression (-1/2)^3

Answers

-1/8 is the anwser. Hope this helps!

Answer:

-1/8 is correct answer

please mark me brainliest

If one minute on the clock =6 degrees 12 minutes =

Answers

72° since it’s 6 degrees per minute you can do 6x12 and that will get you 72°
72 degrees.

6 • 12 = 72

A pet store has 15 birds and 75 fish.
In simplest form, what is the ratio of birds to fish in the pet store?
O1/6
O1/5
O5/1
I don't know

Answers

Answer:

1/5

Step-by-step explanation:

For every bird in the store there will be 5 fish.

Because there is 5 times more fish then birds.

Using the ratio concept, the number of birds to fish expressed as a ratio is 1/5

Given the Parameters :

Number of birds = 15 Number of fishes = 75

Ratio of the number of birds to fish can be expressed thus :

Number of birds : Number of fishes

15 : 75

Divide both sides by 15

1 : 5

Hence, the ratio of birds to fish is 1/5

Learn more : https://brainly.com/question/18796573

During swim practice, an Olympic swimmer is required to complete three swimming intervals, in this order: warm-up freestyle, sprint freestyle, and cool-down breast stroke. After he completes each interval, he rests for three minutes.

Sketch a graph that represents the swimmers’ interval times with respect to swimming speed. Assign the - and -axes with appropriate labels. You may use description words instead of numbers to label the graph.

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{x^{2}-16 }-3\sqrt{x-4}=0[/tex]

Answers

Answer:

[tex]\tt{} x_{1} = 4 \\ \tt{} x_{2} = 5 \\ [/tex]

Step-by-step explanation:

[tex]\tt{} \sqrt{ {x}^{2} - 16 } - 3 \sqrt{x - 4} = 0[/tex]

[tex]\tt{} \sqrt{ {x}^{2} - 16 } = 3 \sqrt{x - 4} [/tex]

[tex]\tt{}{x}^{2} - 16 = 9(x - 4)[/tex]

[tex]\tt{}(x - 4).(x + 4) = 9(x - 4)[/tex]

[tex]\tt{}(x - 4) \times (x + 4 - 9) = 0[/tex]

[tex]\tt{}( x - 4) \times (x - 5) = 0[/tex]

[tex]\tt{}x - 4 = 0 \\ \tt{}x - 5 = 0[/tex]

[tex]\tt{}x = 4 \\ \tt{}x = 5 \\ \\ [/tex]

[tex]\tt{} x_{1} = 4 \\ \tt{} x_{2} = 5 [/tex]

Answer:

x = 4, 5.

Step-by-step explanation:

√(x^2 - 16) - 3√(x - 4) = 0

√(x^2 - 16) = 3√(x - 4)

Square both sides of the equation:

x^2 - 16 = 9(x - 4)

x^2 - 9x - 16 + 36 = 0

x^2 - 9x + 20 = 0

(x - 4)(x - 5) = 0

x = 4, 5.

As the original equation contained square roots:

We test for extraneous solutions:

x = 4:

√(4^2 - 16) - 3√(4 - 4) = 0 - 3*0 = 0  so x = 4 is OK.

x = 5:

√(5^2 - 16) - 3√(5 - 4) = √9 - 3√1 = 0  so x = 5 is also OK.

Brainliet ko maka sagot​

Answers

Answer:

first multiply 3 with −8 and we get − 24

then find two numbers that if we add or subtract we get + 10 and if we multiply we get − 24

and the numbers are + 12 and −2

then we place those numbers as follow :-

3x²+12x−2x−8

then we group them

(3x2+12x)(−2x−8)

now take the common factor out.

3x(x+4)−2(x+4)

then group the numbers outside of the brackets

(3x−2)(x+4)

And that is the answer:

Proper Solution:-

1.) 3x2+10x−8

2.) 3x2+12x−2x−8

3.) (3x2+12x)(−2x−8)

4.) 3x(x+4)−2(x+4)

5.) (3x−2)(x+4)

Determine whether the graphs of the given equations are​ parallel, perpendicular, or neither.
y=−4
y=8
Choose the correct answer below.
A.
Parallel
B.
Neither
C.
Perpendicular

Answers

Parallel because they both have no slope meaning the are both horizontal lines.

hi Help pls will mark as brainlist!!!!!!!!!​

Answers

Answer:

C

Step-by-step explanation:

38.92 x 10^4 = 3892000

Answer:

(d) is ans.

Step-by-step explanation:

brcause point will move four digit the anawer will be =389.2x10^4

plZ help...................

Answers

Answer:

B

Step-by-step explanation:

[tex]\frac{x}{5}[/tex] + 4 = 1 ( subtract 4 from both sides )

[tex]\frac{x}{5}[/tex] = - 3 ( multiply both sides by 5 to clear the fraction )

x = 5 × - 3 = - 15 → B

where is the point (7, -1-0) loacted on the coordinate plane?

Answers

can u show a pic so I can help ?

Name the property that is illustrated.
1 x 3/4 = 3/4

Answers

Answer:

Associative Property of Addition

Identity Property of Multiplication

How many solutions does the following system of equations have?
{4x + 6y = 24
2x + 3y = 12

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

Note that 2(2x+3y=12) is 4x+6y=24, which is the first equation. Therefore, by canceling the equations out, you have 0=0, which means whatever one side equals, the other side ALWAYS equals that.

(1 – xi)(5 – i) – (1 + 3xi)(5 – i)
-
Simply

Answers

Answer:

-20xi -4x

Step-by-step explanation:

What is the proportional rate for 15/21=20/y?

Answers

Answer:

y=28

Step-by-step explanation:

15/21=20/y

15y=420

y=28

Please solve... I will mark you brainliest

Answers

[tex]x=16\\m<P=73\\m<Q=67\\m<R=40[/tex]

Answer:

x=42,

Step-by-step explanation:

sorry i don't know the rest but hope this helps u don't need to mark me brianlest i just wanted to help

Proportions: If 7.5 cups sugar to make 14 dozen cookies, find K please

Answers

Answer:

8987678

Step-by-step explanation:

Which of the ratios below is equivalent to 2:3? Select all that apply.

A) 9:6
B) 10:15
C) 8:12
D) 4:5
E) 20:30

Answers

Answer:

Your answers are B, C, and E.

Step-by-step explanation:

They are all equivalent to 2:3.

M is the midpoint of segment AB.


AM=13x


BM=8x+10


AB=

Answers

13x = 8x + 10
5x = 10
x = 2

AM = 13(2) = 26

Since AM is half of AB,
AB = 26+26 = 52

AB = 52

What is the slope-intercept equation
for the following line?

Answers

Answer: y = -1/2x + 1

10+10= hhihihhhiihihihih

Answers

Answer:

10+10=1010

Step-by-step explanation:

brainliest?

Answer:

20 lol

And hi!

Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6.

Answers

Answer:

The answer would be negative 8 because -8 + 5 = -3 and -3 x -2 = 6

Step-by-step explanation:

The answer would be negative 8 because -8 + 5 = -3 and -3 x -2 = 6

Moesha has 3 dresses, 2 hats, and 5 pairs of shoes. She will choose an outfit that has one dress, one hat, and one pair of shoes. How many different outfits are possible? PLEASE HElPPPPPPPPPPPPPPPPP

Answers

Answer: 30  You're welcome (:

If y = 132 when x =11, what is the value of y when x = 17?

Answers

Answer:

204

Step-by-step explanation:

The answer is 138!
Hope this helps

Transpose for p
w = p + cg


Make h the subject
m = r - h + 4d

Answers

The result of making the required variable the subject in both equation are :

p = w - cgh = - (m - r - 4d)

Making p the subject in w = p + cg :

w = p + cg

Subtract cg from bith sides

w - cg = p + cg - cg

p = w - cg

2.)

Make h the subject m = r - h + 4d

m = r - h + 4d

Subtract r from both sides

m - r = r - h + 4d - r

m - r = - h + 4d

Subtract 4d from both sides

m - r - 4d = - h

Divide both sides by - 1

h = - (m - r - 4d)

Learn more : https://brainly.com/question/18796573

Which of these functions have a domain of all real numbers?​

Answers

Answer:

I think it's A. I may be wrong tho.

Answer: A. Functions f, g, and h

Step-by-step explanation: Plato answer

The maximum throwing speeds of pitchers on one team are shown in the table.

A 1-column table with 6 rows. Column 1 is labeled Maximum pitching speed (miles per hour) with entries 75, 60, 63, 51, 45, 48.

The mean of the data set shown in the table is 57. What is the mean absolute deviation?
6
9
9.5
12

Answers

The answer is 9 trust big dawg, muyayno

Answer:

9

Step-by-step explanation:

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