What is the sum of the first 47 terms of the sequence? -215, -201, -187, -173, ...​

Answers

Answer 1

Answer:

5029

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = - 201 - (- 215) = - 187 - (- 201) = - 173 - (- 187) = 14

This indicates the sequence is arithmetic with sum to n term

=  [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = - 215 and d = 14 , then

=  [ (2 × - 215) + (46 × 14) ]

    = 23.5 (- 430 + 644)

   = 23.5 × 214

   = 5029


Related Questions

laurette has 126 cards. She buys 6 more packages of cards that each have 7 cards in them. How many cards does laurette have now?

Answers

Answer:

168

Step-by-step explanation: 6 times 7 equals 42. Add 42 to 126 and Laurette has a total of 168 cards now.

A company makes fifty-four million, nine hundred twenty thousand, one hundred
two widgets every year. What is this number written in standard form?

A. 54, 920, 102
B. 549, 212
C. 54, 000, 920, 102
D. 504, 920, 102

Answers

Correct answer is A.54,920,102

A quarter has a mass of 0.006 kilograms. What place value is the six in this
number?

Answers

the 6 would be the thousandth

Answer:

It is in the thousandths place

Step-by-step explanation:

The first number after the decimal is the tenths place. 0.006

The second number after the decimal is the hundredths place. 0.006

The third number after the decimal is the thousandths place. 0,006

Hope this helps!

Find the circumference of the circle.radius of 44 in Use 3.14 or 22/7

Answers

Answer:

hi i do not know but i love the app

What is the problem to this one?

Answers

Answer:

45

Step-by-step explanation:

In this composite function, (g◦f)(x) where f(x)=(X-3) and g(x)=X^2 what is (g◦f)(x) when x=1?

(g◦f)(1)=4
(g◦f)(1)=-4
(g◦f)(1)=-2
(g◦f)(1)=2

Answers

the answer would be b
The answer is (Gof)(1)=2

Use technology to construct an appropriate model of the data,
(0.1). (1, 2), (2, 3), (3,-2), (4.1)

Answers

Answer:

Quadratic model

Step-by-step explanation:

Given the data :

(0.1). (1, - 2), (2, - 3), (3,-2), (4.1)

The above data point when plotted using technology gives a quadratic model with the equation : x² - 4x + 1

With the quadratic regression model for the data above, we obtain a correlation Coefficient of 1 ; which means a perfect relationship exists between the x and y variables.

If A is the center of the circle, then which statement explains how segment ED is related to segment FD?

Answers

Answer:

 ED ≅  FD because segment EF is perpendicular to a radius of circle A.

Step-by-step explanation:

The statement that explains how ED is related to FD is: ED = FD because segment EF is perpendicular to a radius of circle A.

What is Does Pendicular mean?

When a segment is perpedicular to the radius of a circle, it forms a right angle at the center of the segment that is intersected by the radius of the circle.

In the diagram given, based on what perpedicular mean, ED = FD because segment EF is perpendicular to one of the radii, DA, of the circle.

Therefore, the statement that explains how ED is related to FD is: ED = FD because segment EF is perpendicular to a radius of circle A.

Learn more about perpendicular segment on:

https://brainly.com/question/1202004

The expected value of a fair 6-sided die is 3.5.
Which of the following statements are true?
Choose all answers that apply:
А
3.5 is one of the possible outcomes of rolling a fair 6-sided die.
A fair 6-sided die is more likely to land on the number 4 than the number 6.
If you rolled a fair 6-sided die a large number of times, you should expect the average of the
numbers rolled to be about 3.5.

Answers

Answer: if you roll a fair 6 sided for a large number of times the average would be 3.5

Step-by-step explanation:

Khan

Determine the value of a.
Question 10 options:

A)

6

B)

10

C)

70

D)

7

Answers

Answer:

The answer is D

Step-by-step explanation:

5, 8, II, 14 ...
The pattern is
Next 2 terms =​

Answers

Answer:

the next two terms are 17, 20

Step-by-step explanation:

add 3 to each term

Example

5+3 = 8

8+3= 11

11+3= 14 etc.

Answer:

17 And 20

Step-by-step explanation:

The pattern is add 3

An object that weighs $1$1​ pound on Earth weighs about $\frac{1}{15}$
1
15​​ pound on Pluto. A man weighs 240$240$240​ pounds on Earth. How many pounds does he weigh on Pluto?

Please help

Answers

Answer:

look it up that ushally helps

Step-by-step explanation:

Translate this sentence into an equation. The sum of 16 and Delia's height is 74. Use the variable d to represent Delia's height.

Answers

The answer is :

16+d=74
“Sum” is the answer to an addition problem
“Is” always means equals (=)
“d” is the variable representing Delia’s height

So the answer is:
16+d=74

There are 4 blood types, and not all are equally likely to be in blood banks. In a certain blood bank, 49% of
donations are Type O blood, 27% of donations are Type A blood, 20% of donations are Type B blood, and 4% of
donations are Type AB blood. What is the expected number of donations until the first Type AB donation is
received?
02.127
4
O24.495
25

Answers

Answer:

Step-by-step explanation:

they get 4%  or 4 out of ever 100.  that's 25 for one AB donation.

Why is there a letter also on Mathematics?

I mean, there is a letter in English...

I don't know why there is a letter like 2x + 19 and x + 23.

It's really frustrating that there's a letter in Mathematics

They can just do "3*4" instead of "x*4 when x=3"

I know... I know... It's a silly question.

Answers

Answer:

Not silly, i understand but "x" is supposed to be a subsitute for a number after the many equations youll be learning in algebra. x can be anything, it isnt set to anykind of specifac number but rather an output of an equation. It is fustrating but i reccomend khan acdemy videos or math nation since they specialze in thses kinds of maths

Step-by-step explanation:

If each collectible coin weighs 2.5 grams, how much do 3 collectible coins weigh all together?
A) 9.5 grams
B) 8.5 grams
7.5 grams
D 6.5 grams

Answers

Answer:

Hello! answer: 7.5 grams

Step-by-step explanation:

To find the answer we simply just do 2.5 × 3 so... 2.5 × 3 = 7.5 so 7.5 grams is the answer! Hope that helps!

Evaluate. Write your answer as a fraction in simplest form.
(4/3)2

Answers

Answer:

8/ 3

Step-by-step explanation:

Answer: 8/3

Step-by-step explanation: you would multiply the numerator (top number 4) by 2 and get 8/3 as a decimal it would be 2.6 repeated and as a mixed number it would 2 and 2/3

Hope this helps (^_^)

Please answer the question correctly with factual information for brainliest.

Answers

Answer:

8.9

Step-by-step explanation:

[tex]1)\ S = 80 => l = \sqrt{80}[/tex]

[tex]2)\ l = \sqrt{80} = 8.9[/tex]

how many feet in 3 yards​

Answers

Answer:

there's 9 feet

 hop this help

Step-by-step explanation:

the way i got it was multiply the length value by 3

braniest plz

Answer:

there would ve 9 feet in 3 yards

can anyone help pls it's hard

Answers

Answer:

[tex](A\cap B)\cap U[/tex]

Step-by-step explanation:

"And" indicates taking the intersection of two sets.

You want numbers that are in all three sets: multiples of 5, multiples of 2, and all 4-digit numbers.

willa is shopping at the mall. An outfit that she likes has 3 different styles of the top, a choice of a skirt or slacks, and 4 different belts. How many different combination does Willa have have to choose from?
A: 2
B: 6
C: 12
D: 24​

Answers

Answer:

c

Step-by-step explanation:

A transformation is applied to the graph of f (x) = 2x2 + 3x - 4 to create a new graph for g(x) = 2x2 + 3x + 7.
Which statement describes the transformation?
OA. The graph will shift up 7 units.
OB. The graph will shift up ll units.
O C. The graph will shift down 7 units.
OD. The graph will shift down 11 units.

Answers

Answer:

b

Step-by-step explanation:

1 mark question plese give me answer​

Answers

110 is the answer because

Answer:

x = 110

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x° is an exterior angle of the triangle, then

x = 60 + 50 = 110

helppppp me please i’ll give brainliest

Answers

Answer:

[tex]C) ~As ~ X ~increases, Y ~ decreases[/tex] ✔︎

᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄

hope it helps....

have a great day!!

Answer:

C will be your answer!

Step-by-step explanation:

hope it helps..

The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draws a random sample from the following
groups:
• All teachers in the school
• All boys in each grade
• All students in the speech club
• All students in each grade
Which group best represents the population she should take a random sample from to get the best results for her survey?
O All teachers in the school
O All boys in each grade
All students in the speech club
O All students in each grade

Answers

All students in each grade

List two pairs of angles in square CDFG that are complementary

Answers

Answer:

1st pair:  ∠C + ∠M

2nd pair: ∠G + ∠M

Step-by-step explanation:

What is the value of the expression shown? 10 - 16:2
[tex]10 - 16 \div 2[/tex]

Answers

Divide 16 by 2 first following PEMDAS.

10 - 8

Solve

2


What number is ten less than 658?

Answers

Answer:

648 is the answer

Step-by-step explanation:

658-10=648

I need the answer pls fast

Answers

Answer:

B. 215cm^2

Step-by-step explanation:

180 + 35

Answer: B. 215

Step-by-step explanation:

I found the answer button.

The full height is 20, and the height of the parallelogram is 10. So that means the triangles height is 20-10=10. The top and bottom sides of a parallelogram are the same, so the base of the triangle is 18-(6+5)=7. So the area of the triangle is (7x10)/2=35. The area of a parallelogram can be count that same way as a regular rectangle. So 18x10=180. Putting those two together, 35+180=215.

A triangle has vertices (0, 2), (3, 1), and (6.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth.​

Answers

Answer:

6 + 2√10 units.

Step-by-step explanation:

We can use the distance formula to find the distance between the points. The points are ,

(0,2)(3,1)(6,2)

Distance 1 :-

=> D₁ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }

=> D₁ = √{ (0-3)² + (2-1)² }

=> D₁ = √{ 3² + 1² }

=> D₁ = √{ 9+1}

=> D = 10

Distance 2:-

=> D₂ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }

=> D₂ = √{ (6-3)² + (2-1)² }

=> D₂ = √{ 3² + 1² }

=> D₂ = √{ 9 + 1}

=> D = 10

Distance 3 :-

=> D₃ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }

=> D₃ = √{ (6-0)²+(2-2)²

=> D₃ = √6²

=> D = 6

→ Perimeter = D₁ +D₂ + D₃

→ Perimeter = √10 + √10 + 6

Perimeter = 6 + 210 units

Hence the perimeter is 6+210 units.

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