In a geometric sequence, the first term is 3 and the common ratio is 2. What is the sum of the first 9 terms?
a .99
b. 1022
c. 1533
d. 765

Answers

Answer 1

Step-by-step explanation:

99 is the answer........

In A Geometric Sequence, The First Term Is 3 And The Common Ratio Is 2. What Is The Sum Of The First
Answer 2

The sum of the first 9 terms of the given GP series will be 1533 thus option (c ) is correct.

What is geometrical progression series?

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

Let's say the first term of the given GP is a and the common ratio is r.

a = 3 and r = 2

The Sum of n term is given as,

S = a([tex]r^{n}[/tex] - 1) / (r - 1)

S₉ = [3(2⁹ - 1)/(2 - 1)]

S₉ = 1533

Hence "The sum of the first 9 terms of the given GP series will be 1533".

For more information about the geometrical progression,

brainly.com/question/4853032

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Related Questions

HELPPPPPPPPPP :))))))))))

Answers

Answer:

C

Hope that helps!

Step-by-step explanation:

Consider the equation: -2x+5y=20

a) Rewrite the equation in y=mx+b form.

1b) What is the slope of the equation?

1c) What is the y-intercept of the equation?

Answers

Answer:

[tex] - 2x + 5y = 20 \\ 5y = 2x + 20 \\ y = \frac{2}{5} x + 4 \\ slope = \frac{2}{5} \\ y - intercept = 4[/tex]

Five years from now, a father's age will be tree times his son's age, and 5 years ago, he was seven times as old as his son was. What are their present age?

Answers

Answer:

The answer is "10 and 40".

Step-by-step explanation:

[tex]\to f + 5 = 3(s + 5) = 3s + 15\\\\\to f - 5 = 7(s - 5) = 7s - 35\\\\[/tex]

Subtracting the equations to get

[tex]\to 10 = -4s + 50\\\\\to -40 = -4s\\\\\to s = \frac{40}{4} \\\\\to s=10\\\\\to f = 40\\\\[/tex]

So the Son age is 10, and the father's age is 40.

Find the missing side of the angle.
Need help,==== thank you!!

Answers

Answer: square root(265)

Step-by-step explanation:

Again, you can solve this via the Pythagorean theorem(a^2+b^2=c^2)

a= a side

b= another side

c= hypotenuse

Now, Substitute

12^2+11^2=x^2

144+121= 265

Now, square root  and you get

square root(265)


what is the equation of the line that passes through the point (-6,3) and has a slope of -1/6

Answers

Answer:

y = -1/6x + 2

Step-by-step explanation:

y = -1/6x + b

3 = -1/6(-6) + b

3 = 1 + b

b = 2

help please! I need this for math like right now!

Answers

Answer:

Step-by-step explanation:

Answer: B

Step-by-step explanation: Hope this help :D


Sofia orders a drink at a coffee shop. She can order water (W), coffee (C), or tea (U). If she orders coffee or tea, she can have milk (M), sugar
(S), both (B) or neither (N) added to her drink.
Which list shows all the possible drink orders Sofia can make?
O AW.CT
B. W. CT, M, S, BN
O c W. CTM, TS, TB, TN
O D. W, CM, CS, CB, CN, T
O EW, CM, CS, CB, CN,TM, TS, TB, TN

Answers

answer is M? well from what others say

Answer:

c

Step-by-step explanation:

Need help on this for brainliest

Answers

Answer:

C

Step-by-step explanation:

Please help and NO LINKS
To conduct a survey about the type of phone service most people in Greenville prefer, 10 different blocks in the neighborhood are chosen. On these 10 blocks, 10 houses are selected at random, and then one resident of each of those houses is interviewed. This type of sampling method is

A.) simple random sampling.
B.) stratified sampling.
C.) systematic random sampling.
D.) cluster sampling.

Answers

Answer:

Please help and NO LINKS

Please help and NO LINKSTo conduct a survey about the type of phone service most people in Greenville prefer, 10 different blocks in the neighborhood are chosen. On these 10 blocks, 10 houses are selected at random, and then one resident of each of those houses is interviewed. This type of sampling method is(A)

Step-by-step explanation:

(I hope this helps)(BRAINLEIST PLEASE)☺️♨️

Annie's parents have offered her two different allowance options for her 10 week summer vacationAnnie's mom offers Annie an allowance where she gets paid 25 the first week and then an additional $20 per week for every week thereafterAnnie's Dad offers her an allowance where she can get paid $1 the first week2 the second week$4 the third week and so onAnnie may only choose one option would be the better option and why
Select all that apply

Annie’s dad's offer is better because it an example of a geometric sequence.

Annie's dad's offer is better because is an example of an arithmetic sequence.

Annie's mom's offer is better because it is an example of a geometric sequence.

Annie's mom's offer better because is an example of an arithmetic sequence

Annie's dad's offer is better because Arinie will have more money at the end of 10 weeks.

Annie's mom's offer is better because Annie will have more money at the end of weeks.

Answers

Answer:

A and E

Step-by-step explanation:

at the end of the 10 weeks, annie's dads plan gives her 511 dollars, which is more than her mothers. it is a geometric sequence.

Which is NOT a solution to the inequality below? 3x + 13≥ -8

Answers

x≥−7. hope this helps you good luck

can someone help with this please????

Answers

Given:

The given function is:

[tex]f(x)=11x-11[/tex]

To find:

The value of [tex](f\circ f^{-1})(-11)[/tex].

Solution:

We have,

[tex]f(x)=11x-11[/tex]

First we have to find the inverse of this function.

Putting f(x)=y, we get

[tex]y=11x-11[/tex]

Interchange x and y.

[tex]x=11y-11[/tex]

Isolate the variable y.

[tex]x+11=11y[/tex]

[tex]\dfrac{x+11}{11}=y[/tex]

[tex]y=\dfrac{x+11}{11}[/tex]

Putting [tex]y=f^{-1}(x)[/tex], we get

[tex]f^{-1}(x)=\dfrac{x+11}{11}[/tex]

Now,

[tex](f\circ f^{-1})(-11)=f(f^{-1}(-11))[/tex]

[tex](f\circ f^{-1})(-11)=f\left(\dfrac{-11+11}{11}\right)[/tex]        [tex]\left[\because f^{-1}(x)=\dfrac{x+11}{11}\right][/tex]

[tex](f\circ f^{-1})(-11)=f\left(\dfrac{0}{11}\right)[/tex]

[tex](f\circ f^{-1})(-11)=f\left(0\right)[/tex]

The given function is [tex]f(x)=11x-11[/tex].

[tex](f\circ f^{-1})(-11)=11(0)-11[/tex]

[tex](f\circ f^{-1})(-11)=-11[/tex]

Therefore, the value of [tex](f\circ f^{-1})(-11)[/tex] is [tex]-11[/tex]. Hence the correct option is A.

Serenity has d d dimes and q q quarters. She has at most 16 coins altogether. Write this situation as an inequality.

Answers

Answer:

Step-by-step explanation:

d+q ≤  16

She can have 16 or less than 16 coins (dimes and quarters) but no more than 16 coins

What is the average of 105 and 147

Answers

Answer:

126

Step-by-step explanation:

Which cards are equivalent to 1/4+2/3 choose all the correct answers

Answers

Answer:

3/12 + 8/12

11/12

Step-by-step explanation:

Which two numbers round to 480,000 when rounded to the nearest ten thousand?

Answers

Answer:a and b

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

Remember: 5 or more-> Rounds up, Less than 5-> Rounds down

A. Incorrect, would round down to 470,000 due to it being 472 in the thousands place

B. Correct, would round up to 480,000 due to it being 476 in the thousands place

C. Correct, would round down to 480,000 due to it being 482 in the thousands place

D. Incorrect, would round up to 490,000 due to it being 485 in the thousands place

E. Incorrect, would round up to 490,000 due to it being 487 in the thousands place

Hope it helped! (:

A package of 12 pencil cost 0.96. What is the price for each pencil in dollars?

Answers

Answer:

.96/12= .08 cents

Step-by-step explanation:

Use a calculator

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = y minus 4 equals StartFraction one-fourth EndFraction left-parenthesis x minus 9 right-parenthesis.(x – 8). What is the slope-intercept form of the equation for this line?

y = y equals StartFraction one-fourth EndFraction x minus 12.x – 12
y = y equals StartFraction one-fourth EndFraction x minus 4.x – 4
y = y equals StartFraction one-fourth EndFraction x plus 2.x + 2
y = y equals StartFraction one-fourth EndFraction x plus 6.x + 6

Answers

Answer:

(just took the test)

Answers for entire quiz on EDGE for "Writing Linear Equations":

C. y = 1/4x+2

A. y=12x+8

C. y=x+2

B. c(x) = 6x + 3

A. k – 2 = 1/9(t – 18)

A. y=-5/8x+6

C. 5

A. y = x + 3

C. 2x + 5y = –15

B. y + 13 = 5(x + 2)

hope this helps y'all!

The correct option is (3) [tex]y = \frac{1}{4} x + 2[/tex]

What is slope ?slope, Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).

The equation of a line that passes through points (8, 4) and (0, 2) is .

The equation of the line in Slope-Intercept form is:

                     y = mx + b            ( m - slope)

The equation of the line slope intercept is-

               [tex]y - 4 = \frac{1}{4} ( x -8)\\y - 4 = \frac{1}{4} x - \frac{8}{4} \\y - 4 = \frac{1}{4} x - 2\\y = \frac{1}{4} - 2 + 4\\y = \frac{1}{4} x + 2\\[/tex]...................(1)

Now compare equation 1 from y = mx + b

   So,        m = 1/4       &  b = 2

Therefore, The correct option is (3) [tex]y = \frac{1}{4} x + 2[/tex] .

Learn more about slope brainly.com/question/12109165

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Sort the data from least to greatest.
276 363 311 253
Find the median number of calls.​

Answers

Answer:

253,276,311,363    293.5 is the mdien.

Step-by-step explanation:

Answer:

293.5

Step-by-step explanation:

Least to greatest: 253, 276, 311, 363

Median = middle

If there are two middle numbers find the mean of the two numbers.

276 + 311 = 587

587/2 = 293.5

Hope this helps!! Have a great day and remember, you are loved.

Determine whether the measures 2, √8, and √12 can be the measures of the sides of a triangle. If so, classify the triangle as acute, obtuse,
or right. Justify your answer.

Answers

Answer:

C

Step-by-step explanation:

First check if the triangle is right.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = [tex]\sqrt{12}[/tex] and ([tex]\sqrt{12}[/tex] )² = 12

2² + ([tex]\sqrt{8}[/tex] )² = 4 + 8 = 12

Thus the triangle is right → C

Answer:

C.

Step-by-step explanation:

Squaring the numbers we get 2^2 = 4, 8 and 12.

Lets look at the relation between  4 8 and 12:-

12 = 4 + 8

- so it obeys the Pythagoras theorem.

It is a right triangle and the answer is C.

9x - 3x = 36

Right answers only please

Answers

Answer:

6

Step-by-step explanation:

9 x 6 = 54

3 x 6 = 18

54 - 18 = 36

Answer:

9x-3x=36

6x=36

x=36/6

x= 6

3y+4y=49

7y=49

y= 49/7

y= 7

10r-2r+5=69

8r=69-5

8r=64

r=64/8

r=8

Step-by-step explanation:

if it helps don't forget to like and mark me

Can y’all help with this one

Answers

Answer:

i think c

Step-by-step explanation:

Write the quotient as a mixed number. 15 ÷ 7 = 2 R1

Answers

Answer:

hi! the mixed number would be [tex]2\frac{1}{7}[/tex]

Step-by-step explanation:

a remainder can be written as 1/the divisor

If you know the answer please help

Answers

The answer is 330. 67x5=335. Now round it.

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Answers

answer
upload at picture, cause i don’t see anything

step by step.

Submit a question that could be used to collect data from your classmates. The question should be stated in a way that they respond with a number.

Answers

Answer:

Gjdkv7fyfkg4kftirfkb8

how to tell if a equation has one solution, no solution, or an infinite number of solutions

Answers

Answer:

no solution

Step-by-step explanation:

Answer:

If the slope is different - always one solution

if the slope is the same but the y intercept is different - no solution

if the slope and y intercept are the same - infinite number of solutions


Help!!!! Asappppppppp

Answers

Answer:

it is D

Step-by-step explanation:

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

its C i think cuz they said max 21

0.1d +.25 (10) = 12.5 what is d

Answers

Answer:

d = 100

Step-by-step explanation:

0.1d + 0.25(10) = 12.5

0.1d + 2.5 = 12.5

0.1d + 2.5 - 2.5 = 12.5 - 2.5

0.1d = 10

0.1d × 10 = 10 × 10

d = 100

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