Calculate the sum of the first n terms of the arithmetic progression (an)
a) a, = -4; d = 2; n = 16
please help me

Answers

Answer 1

Answer:

n²-5n

Step-by-step explanation:

The sum of the nth term is expressed as;

Sn =n/2[2a+(n-1)d]

Given

a, = -4; d = 2; n = 16

Sn = n/2[2(-4)+(n-1)2]

Sn =n/2[-8+2n-2]

Sn = n/2[2n-10]

Hence the sum of the nth term is 2n²-10n/2

2n(n-5)/2

= n(n-5)

= n²-5n

The sum of the nth term is n²-5n


Related Questions

Does this graph show a function? Explain how you know.

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Answer:

a. no the graph fails the vertical line test

The graph fails the vertical line

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What is the area of the triangle?
3
4
5

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Answer:

The area is 6.

Hope this helps

WILL GIVE BRAINLIEST!
Find two consecutive even integers such that four times the first equals three times the second. (Enter your answers as a comma-separated list.)

Answers

Answer:

This is complicated

Step-by-step explanation:

UHM

Find the length of AB.

Answers

Answer:

We know that in a triangle, if two angles have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units

Answer:

AB=9

Step-by-step explanation:

[tex]\frac{DC}{BC}=\frac{EC}{AC}\\ \frac{4}{3}=\frac{16}{AC}\\\\ AC=12\\\\ AB=AC-BC\\ AB=12-3=9[/tex]

factor: 18 - 12h
[tex] 18 - 12h[/tex]

Answers

Answer:

6(3 - 2h)

Step-by-step explanation:

18 - 12h             (Both of them are divisible from 6 as it's the GCF)

6(3 - 2h)

Simply the expression -2.2f+0.9f-14-8

Answers

Answer:

-1.3f-22

please mark brainliest :))))))

Step-by-step explanation:

Answer:

-1.3 - 6

Step-by-step explanation:

combine -2.2 and 0.9, since 0.9 is positive and -2.2 is negative the answer is -1.3, then simply subtract 14-8.

12. During a recent random survey of 100 Texans, 25 of them said they had visited the city of San Antonio in the past year. What is the ratio of the number of those who had visited San Antonio to the number who had not visited San Antonio in the last year?
25:100
100:25
1:3
1:4​

Answers

25/100 visited the city. 25 visited, 75 did not. 25 to 75 can be simplified to 1:3. answer= 1:3

Answer:

25:75 = 1:3 in simplest form

Step-by-step explanation:

you are comparing the # of ppl who said thay visited to the # of people who did not go. 100-25=75. then you simplify.

Which are equivalent ratios to 1:3?
Check all that are true.

2:6

3:9

3:6

1:9

2:8

Answers

Answer:

both 2:6 and 3:9 are the correct answers

Step-by-step explanation:

2:6 and 3:9 this is the answer

Juan is taking out a loan for 2,500 with an annual compound interest rate of 7% for 3 years. Juan will not make any additional deposits or withdrawals. How much interest will he have to pay at the end of the loan period?

Answers

Answer:

$ 3,062.61

Step-by-step explanation:

Account Balance= 2,500(1+ .07/1)^3

What is the value of x?
106°
(not drawn to scale)

Answers

the correct answer is 32 degrees

Q8. Divide £60.50 in the ratio 8 : 3

Answers

How many times does £60.50 go in to 8 and how many times it goes into 3
The write the ratio with the answer for example 0:0

Fill in the blank with the correct term or number to complete the sentence.


The volume of a rectangular prism can be found by multiplying the length by the ______ by the height.


A.
width


B.
volume


C.
space


D.
side

WHOEVER ANSWERS FIRST GETS BRAINLEST FIRST PERSON BE THE LUCKY DUCK!!!!

Answers

Width is the answer
Hope this helps

A circular railroad crossing sign has a diameter of 30 inches which measurement is the closets to the are of the sign in square inches

Answers

R I’m pretty sure okkkkk

Answer: 94.2 square inches

Step-by-step explanation:

PLEASE HELP ME DUE TODAY!! MARKING BRAINLEIST

Answers

Answer:

the first one

Step-by-step explanation:

perform 1/3 on both x and y:

Your answer is C as it starts with J = (1, 2)

Please help I will mark brainliest

Answers

you don’t even have brainliest...

WILL GIVE BRAINLIEST!
As part of a training program for the Boston Marathon, a runner wants to build endurance by running at a rate of 12 mph for 15 min. How far will the runner travel in that time period? mi

Answers

An hour is 60 mins long. 15 mins is 1/4 of that. So 60/4=15. And since he’s running at 12 miles per hour, then 12/4=3. Which means he will travel exactly 3 miles in 15 minutes.

HELP ME WITH THIS QUESTION PLS

Answers

Answer:

its arab

Step-by-step explanation:

because there the largest ethnic group in the region

ten less the quotient of a number and three

Answers

Answer:

(x/3) - 10

Step-by-step explanation:

quotient = divide

it's ten less than what the quotient is.


What is the value of g(-4) + g(1) ?

Answers

g(1) = -1
g(-4) = -6
-1-6=-7
..........

2 (06.01 LC)
A jar has 15 pink gumballs, 21 blue gumballs, 19 red gumballs, and 19 yellow gumballs. Which colored gumball has the least probability of being picked when a child randomly draws one out of the jar? (1 point)
Pink
O Blue
0 Red
Yellow

Answers

Answer:

The Pink ones since they are the lowest amount of them.                         PLEASE MARK THE BRAINILEST

Answer:

The pink color gumballs

Please help!!!!!!!!!!!!!!!

Answers

Answer:

yoooooooooooooooooooooooooooooooooooooooo

wait its not loading

Step-by-step explanation:

Fully factor
n^2 -4n +3

Answers

Answer:

(n-3) (n-1) :)

Step-by-step explanation:

Nicholas drinks 8 ounces of milk for every 5 cookies he eats. If he eats 20
cook, how many ounces of milk does he drink?

Answers

Answer:

I believe its 32oz because if hes dri king 8oz every 5 cookies and he ate 20 cookies he ate 4 times the first 5 cookies so you would multiply 8x4=32oz of milk

Answer:

32oz

Step-by-step explanation:

what is 2 5/8 as a percent (can be written as a mixed number or decimal rounded to the nearest tenth)

Answers

Answer:2.30

Step-by-step explanation:

Help me please please






Answers

When dividing same numbers with different exponents (they’re both 10 so this works different than if they were different numbers) you subtract the top exponent by the bottom exponent. So 15-4=11 ultimately making the solution 10^11. Hope this helps :)

Solve for t
3/4t = 1/4

t=1/3
t=1
t=4/3
t=4

brainlest if right and 20 points

Answers

Answer:

[tex]t = \frac{1}{3} [/tex]

PLEASE HELP WILL MARK BRAINLIEST!
Steve uses an app that shows him how many Kilometers he has run to prepare for a marathon. The app store said he ran 6.436 Kilometers. He wants to post online how many miles he ran. Steve ran_______miles.

Answers

Your answer would be 3 miles! I hope this helps, have a great day!

The area of the hardscape is 3x^2 + 13x + 4. what is the length and width of the hardscape

Answers

Answer:

[tex](3x+1)[/tex]

[tex](x+4)[/tex]

Step-by-step explanation:

Assuming that the given surface is two-dimensional, one can simply factor the given polynomial to find the dimensions of the surface.

[tex]3x^2 + 13x + 4[/tex]

Just by looking at the polynomial, it is fairly obvious that the factors are;

[tex](3x+1)(x+4)[/tex]

One can check this by distributing, multiply every term in one of the parenthesis by every term in the other. Then combine like terms,

[tex]3x^2 + 12x + x + 4\\\\3x^2 + 13x + 4[/tex]

Without further information, it is impossible to determine which is the length, and which is the width, one just knows that the dimensions of the surface are;

[tex](3x+1)\\\\(x+4)[/tex]

Solve the system of equations using the substitution method. 2x+y=8
y=x-1

Answers

Answer:

x=3

Step-by-step explanation:

If we know that y=x-1, we can just substitute it and replace y with (x-1)

so 2x+y=8 becomes:

2x+(x-1)=8 and we simplify that into:

3x-1=8, add 1 on both sides to make it:

3x=9, divide 3 on both sides

x=3

2 (t-4) + 1 math I ready

Answers

Answer:

2t-7

Step-by-step explanation:

Not sure what you need ;( hope this helps!

answer:

2t−7

step-by-step explanation:

distribute:

=(2)(t)+(2)(−4)+1

=2t+−8+1

combine like terms:

=2t+−8+1

=(2t)+(−8+1)

=2t+−7

good luck :)

hopefully, this helps

have a great day !!

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