The sum of N terms of an arithmetic sequence with first term as 1 and common difference of 2 is 9801. Calculate the value of N.

Answers

Answer 1

Answer:

gngngngngngngngngngng

Answer 2

Answer:

n = 99

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 1 , d = 2 and [tex]S_{n}[/tex] = 9801 , then

[tex]\frac{n}{2}[/tex] [ (2 × 1) + 2(n - 1) ] = 9801 ( multiply both sides by 2 to clear the fraction )

n(2 + 2n - 2) = 19602

n(2n) = 19602

2n² = 19602 ( divide both sides by 2 )

n² = 9801 ( take the square root of both sides )

n = [tex]\sqrt{9801}[/tex] = 99

The number of terms summed is 99


Related Questions

Which point is on the graph of a direct variation equation in which k = 0.4?

A) (10, 0.04)
B) (4, 10)
C) (10, 4)
D) (0.04, 10)

Answers

i think that it would be A

Find the value of x.

Answers

Answer: x = I’m not doing that

Step-by-step explanation:

A line intersects the point (-11, 4) and has a slope of -2. What are the inputs to the point-slope formula? y - [?] = [](x-[])​

Answers

y - 4 = -2 ( x - ( -11)) which would simplify to y - 4 = -2 ( x + 11) !!

convert the following fractions to decimals
9/16

6 3/5

1/4​

Answers

0.5625
12.6
0.25
Give me a star and thx

Which expression is not equivalent to
3x – 2?

Answers

2x-3 is the correct answer

Answer:

Step-by-step explanation:

What are the options?

A rectangle prisms base is 8 feet long. It is 2 1/2 times taller than it is long and 1/2 wide as it is tall. What is the volume of the rectangular prism?

Answers

Answer:

1600 cubic feet

Step-by-step explanation:

8 x 2 1/2 = 8 x 2.5 = 20

20 divided by 1/2 = 10

8 x 10 x 20 = 1600

Help me photo is attached below pleaseeee I beg youuu

Answers

Answer:

15? i'm not too sure, the wording is throwing me off

Step-by-step explanation:

Answer:

15 dogs

Step-by-step explanation:

dogs : cats : rabbits

5 : 2 : 1

? : ? : 3

1 rabbit = 2 cats

2 cats = 5 dogs

1 rabbit = 2 cats

2 rabbits = 4 cats

3 rabbits = 6 cats

2 cats = 5 dogs

4 cats = 10 dogs

6 cats = 15 dogs

Given the equation y = mx+q
Change the subject of the formula of
1.1.1 m​

Answers

Answer:

m = [tex]\frac{y-q}{x}[/tex]

Step-by-step explanation:

Given

y = mx + q ( subtract q from both sides )

y - q = mx ( divide both sides by x )

[tex]\frac{y-q}{x}[/tex] = m

three consecutive multiples of 2 is 36 then the multiples are​

Answers

Answer:

9, 12, 15

A multiple of 3 can be written 3n where n is a positive integer.

So 3 consecutive multiples of 3 can be written

3n,3n+3,3n+6

The sum of these is 36

3n+3n+3+3n+6=36

9n+9=36

Divide through by 9

n+1=4

n=3

If n=3 then 3n=9 and the three consecutive multiples of three are 9, 12 and 15 which do indeed total 36

Step-by-step explanation:

Hope it is helpful....

Write an explicit formula for an the nth
term of the sequence 8, 48, 288

Answers

Answer:

Step-by-step explanation:

a₁ = 8

a₂ = 48

Common ratio r = a₂/a₁ =6

nth term = a₁rⁿ⁻¹

= 8×6ⁿ⁻¹

2) Solve the system of equations using substitution.
2x -- 9y = 14
x = -6y +7

Answers

Answer:

x= 7, y=0 (7,0)

Step-by-step explanation:

x = 7 and y = 0 those are the answers

1- mass of earth is 1/95 of the mass of Saturn. if mass of earth is 5.97 x 10^24 kg.find mass of Saturn. show your all work out.


2- write 267000000 in standard form.

3- Maria, Carolina and Pedro receives $1600 from their grandfather in ratio 7:5:4. calculate share of each​

Answers

Answer:

5.6715 * 10^26 kg

Step-by-step explanation:

Given that :

Mass of earth = 1/95 the mass of saturn

If Mass of earth = 5.97 x 10^24 kg

Let the mass of saturn = x

5.97 x 10^24 kg = 1/95 * x

5.97 x 10^24 kg = x / 95

x = 95 * 5.97 x 10^24 kg

x = 567.15 * 10^24

x = 5.6715 * 10^26 kg

Mass of saturn = 5.6715 * 10^26 kg

Brooke bought 5 plates for $44. If the price of the plates is always the same, which represents the total cost, y, of buying any number of plates, x?

Answers

Answer:

y = 8.80x

Step-by-step explanation:

Th price of one plate = $44 / 5 = $8.80

the cost of any x plate can be determined by multiplying $8.80 by x

y = $8.80x

For example if x is 10, y =  $8.80(10) = $88

If x = 100, y = $8.80(100) = $880

Answer:

y = 8.80x

Step-by-step explanation:

Th price of one plate = $44 / 5 = $8.80

the cost of any x plate can be determined by multiplying $8.80 by x

y = $8.80x

For example if x is 10, y =  $8.80(10) = $88

If x = 100, y = $8.80(100) = $880

During a scuba dive, Lainey descended to a point 18 feet below the ocean surface. She continued her descent at a rate of 25 feet per minute. Write an inequality you could solve to find the number of minutes she can continue to descend if she does not want to reach a point more than 143 feet below the ocean surface. Use the variable t for time.

Answers

Answer:

Inequality representation :

18 + 25t ≤ 143 ;

t = 5

Step-by-step explanation:

Given that:

Initial dive, I = 18 feets

Descent rate, r = 25 feets / minute

Maximum depth reached = 143 feets

Time = t

Inequality representation :

18 + 25t ≤ 143

To solve for t

25t ≤ 143 - 18

25t ≤ 125

Divide both sides by 25

25t / 25 ≤ 125 / 25

t ≤ 5

Will mark brainliest.
What is pi?

Answers

Answer: 3.14159265358979.....

Step-by-step explanation:

Answer:

3.14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 58209 74944 59230 78164 06286 20899 86280 34825 34211 7067.

classify this triangle​

Answers

Answer:

Acyte, Scalene. please mark brainliest when its correct:)

Answer:

acute scalene

Step-by-step explanation:

The best guess is a acute scalene because the measure of the angles aren't shown. However, when you have both the measure of sides and angles, you can use the following image can help you classify triangles :

An interpretation of data is?

Answers

Answer:

Data interpretation refers to the implementation of processes through which data is reviewed for the purpose of arriving at an informed conclusion. The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.

Step-by-step explanation:

Answer:

The interpretation of data assigns a meaning to the information analyzed and determines its signification and implications.

Step-by-step explanation:

Hope that helps :)

PLEASE HELP! I’m not sure if i’m right

Answers

Answer:

looks right

Step-by-step explanation:

Answer:

you are correct

Step-by-step explanation:

The data represents the height, in feet, of various buildings. Find the Interquartile Range.

60, 58, 54, 56, 63, 65, 62, 59, 56, 58

Plsss helpppppp :(
This is a testt!

Answers

Answer: 6

Step-by-step explanation:

If the x-value is multiplied by 3, what happens to y? The y-value is multiplied by _______

Answers

Answer:

Follow me please

Mark brainliest

If the x is multiply by 3 then Ithe y is multiple by6

The ratioof men to woman at a university is 6 to 5. How many woman students are there if there are 3600 men?

Answers

Answer:

There are 3000 woman students.

Step-by-step explanation:

Since the ratio is 6:5, so we have to reduce our number to 3000 from 3600 as 6x6=36 and then we can add the zeros.

Please help I don’t get it

Answers

Answer:

4.718592

Step-by-step explanation:

To get to -14.4 from 18 you multiply 18 x 0.8

Repeat that until you get to the 7th term

18 (1st)

18 x 0.8 = -14.4 (2nd)

-14.4 x 0.8 = 11.52 (3rd)

11.52 x 0.8 = 9.216 (4th)

9.216 x 0.8 = 7.3728 (5th)

7.3728 x 0.8 = 5.89824 (6th)

5.89824 x 0.8 = 4.718592 (7th)

Which table represents linear function?

Answers

Answer:

does not represent a linear function.

Step-by-step explanation:

For the function to be linear, the slope must be the same for every poknt along the function. If is not, then is not a linear function.

Let us now calculate the slope;

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

We shall take the first two points

[tex]m = \frac{4 - 2}{2 - 1} \\ m = \frac{2}{1} \\ m = 2[/tex]

Next we shall take the 2nd and 3rd points

[tex]m = \frac{8 - 4}{3 - 2} \\ m = \frac{4}{1} \\ m = 4[/tex]

The slope is not the same for these two different point, hence this table does not represent a linear function.

knhkfjvvjhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

??????? what ?????????

What’s the missing side length?

Answers

Answer: 14cm

Steps:
6cm + 8 cm = 14cm

Answer:

14 cm

Step-by-step explanation:

this is because of the far left side of the shape being 6cm and as well as with the 8 cm from one side of the shape being another component to the origin of the side length, this would give us the equation 6 + 8 with out sum coming out to 14 cm being identified as the right unknown length.

whoever can help me will gwt the brainliest!​

Answers

Answer:

9. 7*12*14=1176

10. 6*5*8=240

11.6*8*15=720

12. 11*5*9=495

13.  7*16*28=3136

14. 13*8*24=2496

Pls help if you know-
Suzie is baking blueberry pies to sell at her bakery. She starts with 9 cartons of blueberries, of which she uses 2/3 for the first batch of pies. How many cartons of blueberries does Suzie use for the first batch of pies?

Answers

Answer:

.

Step-by-step explanation:

An isosceles triangle has an angle that measures 134°. Which other angles could be in that isosceles triangle?

Answers

Answer:

[tex]23^{o}[/tex] and [tex]23^{o}[/tex]

Step-by-step explanation:

An isosceles triangle has two of its sides and angles to be equal. Let each of the unknown equal angles be represented by x. Since one of its angles measures  134°, then;

x + x +  134° = [tex]180^{o}[/tex]

2x + 134° = [tex]180^{o}[/tex]

2x = [tex]180^{o}[/tex] - 134°

    = 46

x = [tex]\frac{46}{2}[/tex]

  = [tex]23^{o}[/tex]

x = [tex]23^{o}[/tex]

The other angles that could be in the isosceles triangle are [tex]23^{o}[/tex] and [tex]23^{o}[/tex].

if bob had 5 apples and gave Samatha 2 apples how much does he have

Answers

Answer:

3

Step-by-step explanation:

5-2=3

Answer:

According to my calculations...3

Step-by-step explanation:

x = 5
x + y = 12

help please

Answers

Answer:

y = 7

Step-by-step explanation:

(5) + y = 12

12 - 5 = 7

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