Write the sum using summation notation, assuming the suggested pattern continues. -3+6+15+24+...+132

Write The Sum Using Summation Notation, Assuming The Suggested Pattern Continues. -3+6+15+24+...+132

Answers

Answer 1

Answer:

Option (4)

Step-by-step explanation:

Given sequence is,

-3 + 6 + 15 + 24 + ........+ 132

Difference in 1st and 2nd term = 6 - (-3)

                                                   = 9

Difference in 2nd and 3rd term = 15 - 6

                                                    = 9

There is a common difference of 9 in each successive term.

Therefore, it's an arithmetic sequence.

Let the nth term of this sequence is (a + bn).

For the first term → n = 0,

a = -3

For second term → n = 1

-3 + b(1) = 6

b = 6 + 3

b = 9

Therefore, nth term of the sequence will be,

[tex]T_n[/tex] = -3 + 9n

For nth term = 132

-3 + 9n = 132

9n = 135

n = [tex]\frac{135}{9}[/tex]

n = 15

Sum of 15 terms can be represented by the expression;

[tex]\sum_{n=0}^{15}(-3+9n)[/tex]

Option (4) is the answer.


Related Questions

What’s the value of b when x = 12

b =
2x2(x - 5)/
10x

Answers

Step-by-step explanation:

hello

2×12*2 (12-5)/10

24*2 (7)/10

576×7/10

4032/10

403,2

I need help like fast plz ill give u extra points after this plz i have 10 min to answer this

Answers

Answer:

y=19√3x=38confirm be sure

Find the measure of the angle VWU

PLS HELP!!

Answers

Answer= 39

Explanation:
the angles of a triangle must add up to 180°
Let’s call the missing value x
90°+51°+x°=180°
x=180-141
x= 39

What is the distance between (-5, -5) and (-9, -2)?

Answers

Answer:

4,3 difference

Step-by-step explanation:

|-5,-5|=5,5

|-9,-2|=9,2

9-5=4

5-2=3

4,3 difference

Riley earned $38.25 for cleaning the garage. She was paid $4.25 per hour. ​Write​ and solve​ an equation to find how long it took her to clean the garage. ​Include a label in your answer.

Answers

Answer:

It took Riley 9 hours to clean the garage.

Step-by-step explanation:

With the information provided, you can say that the amount Riley earns for cleaning the garage is equal to the price per hour for the number of hours it takes to clean the garage, which can be express as:

x=4.25y, where:

x is the amount Riley earns for cleaning the garage

y is the number of hours it takes to clean the garage

Now, you can replace x with $38.25 that is the amount that Riley earned and you can solve for y to find how long it took her to clean the garage:

38.25=4.25y

y=38.25/4.25

x=9

According to this, the answer is that it took Riley 9 hours to clean the garage.

What is the solution to ther equation 2(x-4)squared=50

Answers

Answer:

x=9                   x=-1

Step-by-step explanation:

2(x-4)^2=50

Divide each side by 2

2/2(x-4)^2=50/2

(x-4)^2=25

Take the square root of each side

sqrt((x-4)^2)=sqrt(25)

x-4 = ±5

x-4 =5            x-4 = -5

Add 4 to each side

x-4+4=5+4    x-4+4 = -5+4

please help! these are my last points

Answers

Answer:

A

Step-by-step explanation:

can I have Brainliest if right

The length of AB is 5 units. What is the length of the image of the line segment after a dilation with a scale factor of 5/2 Enter your answer in simplest form in the box. ​

Answers

Answer:

12 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Put 5 in fraction form ( [tex]\frac{5}{1}[/tex] ) and multiply it by [tex]\frac{5}{2}[/tex]

[tex]\frac{5}{1}[/tex]×[tex]\frac{5}{2}[/tex] = [tex]\frac{25}{2}[/tex]   now simplify  to 12 [tex]\frac{1}{2}[/tex]

is it just me or does anyone else like NF??

Answers

Answer:

I like him too.

Step-by-step explanation:

Given the line 2x + 3y = 5, write an equation for a line in slope intercept form that is parallel

Answers

Add 2x plus 3y so then you get 5

What is the answer to this question?

Answers

Answer:

95 cm^2

Step-by-step explanation:

perimeter(p)=39cm

L=3x-1

B=2x+3

Now,

p=2(l+b)

39=2(3x-1+2x+3)

39=6x-2+4x+6

39=10x+4

39-4=10x

x=35/10

x=3.5

Putting the value of x

L=3x-1; =3×3.5-1; =10.5-1; =9.5cm

B =2x+3; =2×3.5+3; =7+3; =10cm

Again,

A= L×B

=9.5×10

=95cm^2

Identify the vertex of the function graphed below.

A (1,2)
B.(3,-2)
C.(0.7)
D. (2-1)

Answers

(3,-2) is the vertex

A car travels at 180.0 km/h for 2.8 hours, at 65.0 km/h for the next 3.5 hours, and finally at 100.0 km/h for 2.0 hours. What is the car's average velocity for the entire journey?

Answers

Answer:

v = ~122.23 m/s

Step-by-step explanation:

180(2.8) + 65(3.5) + 200 = 931.5

931.5/(2.8 + 3.5 + 2) = 122.2289 ≈ 122.23 = va

should be fairly easy..

Answers

Answer:

72 cm²

Step-by-step explanation:

Area of a ∆ = 1/2 × b × h

b = 12 cm

h = 12 cm

Area = 1/2 × 12 × 12

= 1/2 × 144

= 72 cm²

Sally purchased 24 pencils. 1 8 of the pencils are blue. 1 6 of the pencils are red. How many pencils are neither blue nor red? A. 17 B. 14 C. 7

Answers

Answer:

0

Step-by-step explanation:

there are no more pencils that are niether blue or red

please help and explain why. i need this right now.

Answers

Answer:

B

Step-by-step explanation:

m<1 = 47

m<2= 34

Answer:

B

Step-by-step explanation:

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

122° is an exterior angle to both triangles , then

∠ 1 + 75° = 122° ( subtract 75° from both sides )

∠ 1 = 47°

and

∠ 2 + 88° = 122° ( subtract 88° from both sides )

∠ 2 = 34°

Who is better Billie Eilish or Ariana Grande? I already have my answer. Ya'll just put yours and I'll see if I agree with them or not.

Answers

Answer:

Ariana Grande 100%

Step-by-step explanation:

Answer:

Ariana

Step-by-step explanation:

-4, 4, -4, 4,
Describe the pattern
Determine the next two terms in the pattern.

Answers

Answer:

THe pattern switches to negative then positive

-4,4

Step-by-step explanation:

Pls help, 20 points!!

Answers

Answer:

(-18,9)

Step-by-step explanation (work shown in picture attached):

1) The first step in solving by substitution is to isolate the y-term in one of the equations if it is not already isolated. Isolate y in the first equation by dividing both sides by -2. This leaves us with the equation [tex]y = \frac{-x}{2}[/tex]

2) Now, substitute [tex]\frac{-x}{2}[/tex] for the y in the second equation. Simplify and isolate x. (You can multiply everything by -2 to get rid of the fraction.) This leaves us with x = -18.

3) We've found the x-value of the solution, -18. Now, substitute -18 for x back into one of the original equations (I chose the first one because it was simple) and isolate y. This gives us y = 9. Thus, in point form, the answer is (-18,9).

Select the polynomial that is a perfect square trinomial.
Group of answer choices

x2 + 20x + 100

x2 + 8x + 64

x2 + 10x + 50

x2 + 21x + 49

Answers

Answer:

first option

Step-by-step explanation:

A perfect square trinomial in the list is

x² + 20x + 100

= (x + 10)(x + 10)

= (x + 10)² ← a perfect square

Please help, 20 points for this and i’ll give you the crown thing.

Answers

Answer: 9 ( 2 terms)

10 ( i think it is C)

Step-by-step explanation:

#10 c sounds smart out of all the choices

There are 18 girls and 15 boys in Tyler's Homeroom what percent of Tyler's homeroom are boys? round the nearest 10th

Answers

Answer:

50% are boys

Step-by-step explanation:

Total number of kids: 18+15=33

Percent of boys: 15/33=0.4545 repeating

0.4545 rounded to tenth: 0.5

0.5 to percent: 50%

Which shows 8 × 22 rewritten using the Distributive Property?

Answers

8*22 = 22*8

Hope this helps!

1) Joan has 24 books in her library. She bought several books at a yard sale
over the weekend. She now has 53 books in her library. How many books
did she buy at the yard sale ?

Answers

Answer:

Step-by-step explanation:

53-24=29 books purchased

Answer:

Let "x" be the number of books that Joan bought at the yard sale

24+x=53

x=29

Joan bought 29 books at the yard sale.

Let me know if this helps!

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

the answer  is c

Step-by-step explanation:

if right pls give brainleist

Kendle wants to play several games of laser tag. She has \$35$35dollar sign, 35 to play GGG games. Each game of laser tag costs \$5$

Answers

Answer:

35/5=7 if thats the question?

Step-by-step explanation:

Answer:

she can play 7 games

Step-by-step explanation:

because of you take 35 and divide it by 5you get 7

Work out (4.2×107)÷(7×104)Give your answer in standard form. Work out (4.2×107)÷(7×104)Give your answer in standard form.

Answers

Answer:

6 * 10^2

Step-by-step explanation:

Simplify : (4.2×10^7)÷(7×10^4)

(4.2 × 10^7) / (7 × 10^4)

From indices : 10^a ÷ 10^b = 10^(a - b)

(4.2 / 7) * 10^(7-4)

0.6 * 10^3

= 6 * 10^2

Hence, (4.2×10^7)÷(7×10^4) = 6 * 10^2

To track the reptile population around a lake, researchers marked 36 turtles. A few weeks later, they counted 400 turtles, of which 20 were marked. To the nearest whole number, what is the best estimate for the turtle population?

Answers

Answer: 720

Step-by-step explanation:

From the question, we are informed that cthe researches counted 400 turtles, of which 20 were marked. This implies that 20/400 = 1/20 were marked.

If the researchers wanted to track the reptile population around a lake, and the researchers marked 36 turtles, the estimate of the total population will then be:

1/20 × x = 36

x/20 = 36

x = 20 × 36

x = 720

The turtle population is 720

In ΔRST, the measure of ∠T=90°, the measure of ∠R=82°, and TR = 44 feet. Find the length of ST to the nearest tenth of a foot.

Answers

Answer:313.1

Step-by-step explanation:

I need it please help

Answers

Answer:

2

Step-by-step explanation:

1600/800=2 hope it helps

Answer:

i can't see the picture!!!

Step-by-step explanation:

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