Mathematics, 13.01.2021 14:00 zlyzoh

3A. Compute the simplified numerical value of the expression: (4042 + 4040 + 4038 + … + 6 + 4 + 2) −(4041 + 4039 + 4037 + … + 5 + 3 + 1).

Answers: 3

Show answers

Answers

Answer from: s9003792

The simplified numerical value of the expression: (4042 + 4040 + 4038 + … + 6 + 4 + 2) −(4041 + 4039 + 4037 + … + 5 + 3 + 1) is 2021 and this can be determined by using the properties of arithmetic progression.

Given :

Expression -- (4042 + 4040 + 4038 + … + 6 + 4 + 2) −(4041 + 4039 + 4037 + … + 5 + 3 + 1)

Let the given expression be written in the form of two arithmetic progressions. That is:

$= \rm A_1-A_2$

where $\rm A_1$ is (4042 + 4040 + 4038 + … + 6 + 4 + 2) and $\rm A_2$ is (4041 + 4039 + 4037 + … + 5 + 3 + 1).

First, determine the number of terms in progression $\rm A_1$ and $\rm A_2$ .

For progression $\rm A_1$ :

$\rm 2 = 4042+(n-1)(-2)$

-4040 = -2(n - 1)

2020 = n - 1

2021 = n

For progression $\rm A_2$ :

1 = 4041+(n-1)(-2)

-4040 = -2(n - 1)

2020 = n - 1

n = 2021

Sum of n terms for progression $\rm A_1$ .

$\rm S_n = \dfrac{2021}{2}\times (2(4042)+(2021-1)(-2))$

$\rm S_n = 2021(4042-2020)$

$\rm S_n = 2021\times 2022$

$\rm S_n = 4086462$

Sum of n terms for progression $\rm A_2$ .

$\rm S'_n = \dfrac{2021}{2}\times (2(4041)+(2021-1)(-2))$

$\rm S'_n=2021\times (4041-2020)$

$\rm S'_n=2021\times (2021)$

$\rm S'_n=4084441$

Now, the value of the expression $\rm A_1-A_2$ is:

$= \rm A_1-A_2$

= 4086462 - 4084441

= 2021

So, the simplified numerical value of the expression: (4042 + 4040 + 4038 + … + 6 + 4 + 2) −(4041 + 4039 + 4037 + … + 5 + 3 + 1) is 2021.

For more information, refer to the link given below:

link

Answer from: TVASALLO31

The value of the expression is 2021

Step-by-step explanation:

Compute the numerical value of the expression

(4042 + 4040 + 4038 + … + 6 + 4 + 2) - (4041 + 4039 + 4037 + … + 5 + 3 + 1).

Rearranging the positive and negative terms:

(4042-4041)+(4040-4039)+(4038-4037)+...(2-1)

All the partial subtractions are 1:

1 + 1 + 1 + + 1

This sequence is repeated 4042/2=2021 times, thus the value of the expression is 2021

Answer from: Quest

homozygous. one is homozygous, while two is heterozygous.

Answer from: Quest

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 12:30, taykola

Which facts are true for the graph of the function below? check all that apply. f(x) = log8 x. (30 points pls )

Answers: 2

continue

Mathematics, 21.06.2019 17:00, makk60

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

Answers: 3

continue

Mathematics, 21.06.2019 18:00, madisonvinson0

Stephen thublin invests $1,000,000 in a 45-day certificate of deposit with 6.55% interest. what is the total interest income from the investment?

Answers: 1

continue

Mathematics, 21.06.2019 18:00, ahmedislife

Someone answer this asap rn for ! a discount store’s prices are 25% lower than department store prices. the function c(x) = 0.75x can be used to determine the cost c, in dollars, of an item, where x is the department store price, in dollars. if the item has not sold in one month, the discount store takes an additional 20% off the discounted price and an additional $5 off the total purchase. the function d(y) = 0.80y - 5 can be used to find d, the cost, in dollars, of an item that has not been sold for a month, where y is the discount store price, in dollars. create a function d(c(x)) that represents the final price of an item when a costumer buys an item that has been in the discount store for a month. d(c(x)) =

Answers: 2

continue

You know the right answer?

3A. Compute the simplified numerical value of the expression: (4042 + 4040 + 4038 + … + 6 + 4 + 2) −...