What is the sum of the first 7 terms for the geometric sequence with first term 3, seventh term 46,875, and common ratio 5

A. 35,154
B. 58,593
C. 19,531
D. 11,718

Answers

Answer 1
Have a nice day! Hopefully this could help you
What Is The Sum Of The First 7 Terms For The Geometric Sequence With First Term 3, Seventh Term 46,875,
Answer 2

The sum of the given geometric sequence with first term 3 and seventh term 46875 is 136717 so none of the given options are 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.

Given that,

First term (a) = 7

Common ratio r = 5

Seventh term = 46875

The sum of the first n term in GP is given as,

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

Sum of first seventh term,

S₇ = 7(5⁷ - 1)/(5-1)

S₇ = 136717

Hence "The sum of the given geometric sequence with first term 3 and seventh term 46875 is 136717 ".

For more information about the geometrical progression,

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Related Questions

133.5 divided by 5 show work

Answers

Answer:

26.7

Step-by-step explanation:

Use a  c a l c u l a t o r :P

environmental factors that affect the agricultural productions note​

Answers

climatic factors such as light, water, and rainfall, temperature, air, relative humidity and wind also affect farming in various ways. Just like other abiotic elements of environmental factors such as soil and topography, they influence how crops grow and develop.

the environmental factors that affect the agricultural production is human activities such as pollution, climatic factors and so on

NEED HELP FOR REAL 69 points!!!!!!!!!!!!!! ASAP
The physicist from the last problem lets the particle fall another 100 times, and finds that the average travel time is now 16 sec. Remember that when running the simulation many times it took 15 seconds, on average, for the particle to fall to the bottom, with a standard deviation of 1.5 seconds. What does she conclude and why?

Answers

It concludes that newtons laws of motion are at work

-32 > +32? True or false?

Answers

Answer:

False

Step-by-step explanation:

+32 is greater than -32

Answer:

false it is less than

Step-by-step explanation:

-32<+32

A rectangle has an area of 112 square yards. Its width is nine yards less than the length. Write an equation that models this problem

Answers

Step-by-step explanation:

L = length

W = width

L = W + 9

A = 112 = LW = (W+9)W

So,

W2 + 9W = 112

W2 + 9W - 112 = 0

Factoring

(W-7)(W+16) = 0

W = 7, -16

We discard W = -16, since a measurement cannot be negative.

W = 7

And since L = W + 9, then L = 7 + 9 = 16

This is a 16x7 rectangle

there are 76 milligrams of sodium in a 3ounce serving at skinless chicken how much sodium would be in 8 ounce of skinless chicken to the nearest tenth

Answers

Answer:

202.7 milligramsHope this helped :)

Answer:

202.7

Step-by-step explanation:

76 divided by 3 to see how many milligrams of sodium is in 1 once of chicken, so it would be 25.33... (or you xould simplify to 25.4.) Then you times by 8 to see how much is in 8 ounces

First four terms
f(n)=n^3-n^2+1

Answers

Answer:

The function of this equation is: [tex]F(n)=\frac{1}{4}n^4-\frac{1}{3}n^3+n+C[/tex]

Step-by-step explanation:

Answer:

1, 5, 19, 49

Step-by-step explanation:

To obtain the first 4 terms substitute n = 1, 2, 3, 4 into f(n)

f(1) = 1³ - 1² + 1 = 1 - 1 + 1 = 1

f(2) = 2³ - 2² + 1 = 8 - 4 + 1 = 4 + 1 = 5

f(3) = 3³ - 3² + 1 = 27 - 9 + 1 = 18 + 1 = 19

f(4) = 4³ - 4² + 1 = 64 - 16 + 1 = 48 + 1 = 49

The first 4 terms are 1, 5, 19, 49

Write and inequality to compare the fractions. 24/18 and 25/15

Answers

Answer:

25/15 > 24/18

Step-by-step explanation: Both of these fractions can be reduced so that the denominator is 3. This will make it much easier to compare the two fractions. For 24/18, if you divide both the numerator and the denominator by 6, then the fraction simplifies to 4/3. For 25/15, if you divide the numerator and denominator by 5, then the fraction simplifies to 5/3. Since these fractions have a common denominator, the fraction with the larger numerator is going to be the larger fraction. So, 25/15 is greater than 24/18.

Solve for x: -7 < X - 1 < 8

Answers

Answer:

4th option

Step-by-step explanation:

-7 < X - 1 < 8

Add +1 on all side

-7+1<x-1+1<8+1

-6<x<9

Answer:

D

Step-by-step explanation:

-7<x-1 and - 1<8

-7<x-1 : x>-6

x-1<8 : x<9

combine x>-6 and x<9

= -6 < x < 9

-
Find the zeros of the following function f (x) = 2x^2 – x – 10

Answers

Step-by-step explanation:

the formula to find the x values to deliver y=0 results of a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

a, b, c are the constant factors in the 3 terms of a squared equation.

here in our example of 2x² - x - 10

a = 2

b = -1

c = -10

x = (1 ± sqrt(1² - 4×2×-10))/(2×2) =

= (1 ± sqrt(1 + 80))/4 = (1 ± sqrt(81))/4 =

= (1 ± 9)/4

x1 = (1 + 9)/4 = 10/4 = 2 2/4 = 2 1/2 = 2.5

x2 = (1 - 9)/4 = -8/4 = -2

Your turn: Type in two addition expressions, both of which have an output value of -100.
1) Use two negative numbers.
2) Use one positive number and one negative number.

Answers

Answer:

-50 + -50

only negative...sorry.

A cyclist traveled 70km at a constant speed. Write down the formula that shows the dependence of the speed, v, on the time t. Find v(5), v(7), v(3.5)
HELP I WILL GIVE BRAINLIEST + 20 POINTS I REALLY NEED THIS

Answers

The equation which relates speed, V and time, t to the total distance traveled is 70 = Vt

70 = Vtv(5) = 14 V(7) = 10V(3.5) = 20

Since he is traveling at a constant speed, the relationship between, V and t can be written thus :

Distance = speed × time 70 = Vt

At time, t = 5

70 = 5VV = 70/5 = 14

At time, t = 7

70 = 7vV = 70/7 = 10

At time, t = 3.5

70 = 3.5vv = 70/3.5 = 20

Therefore, the relationship between V and t with distance is 70 = Vt

Learn more :https://brainly.com/question/23774048

How to simplify 7^2*7^9 divided by 7^14 and answer it in exponential form?

Answers

When you’re multiply numbers with exponent you add the exponents

How do you break apart 32.14

Answers

Answer:

answer is below

Step-by-step explanation:

so 32.14 is breakable. first break it up by the tens place you have 3 tens.

next the ones place you have 2 ones

then the tenths place you have 1 tenth

then the hundredth place you have 4 hundreths

so the 3 tens is equal to 30

the 2 ones is equal to 2

the 1 tenth is equal to 0.1

the 4 hundredth is equal to 0.04  

this is easier to understand and is a good way to think about more complext numbers

What is the value of each digit in 28.6597

Answers

Answer: 200000

               800000

                  6000

                     500

                        90

                           7

Step-by-step explanation:


Grace rides the bus to her grandmother's house each day. A one way trip is 8.12 miles. How many miles does
she travel after 5 days help on 1 and 2 please extra points

Answers

40.6 miles and $9.77

Step-by-step explanation:

[Number 1]

8.12 × 5

= 40.6 miles

[Number 2]

2.79 × 3 ½

= 2.79 × 3.5

= 9.765

≈ $ 9.77

Someone tell me if I’m right

Answers

Answer:

Yes you are correct

Step-by-step explanation:

Algebra 2 help needed....

Answers

Answer:

Step-by-step explanation:

We actually don't need to know all of the restrictions.

We know that a vertical stretch factor of 4 means multiplying a square root function by [tex]4[/tex]. So, the answer will be in the form [tex]y=4\sqrt{x+c}+k[/tex], where c and k are real numbers.

Aha! Only one of these conditions satisfy the restrictions, so we have that [tex]\boxed{y=4\sqrt{x+3}+7}[/tex] has to be the answer.

3 In which of these pairs of numbers would both numbers round to 6.23 ? F 6.232 and 6.236 G 6.231 and 6.233 H 6.229 and 6.239 J 6.222 and 6.238 GO ​

Answers

9514 1404 393

Answer:

  G 6.231 and 6.233

Step-by-step explanation:

F 6.232 and 6.236 rounds to 6.23, 6.24

G 6.231 and 6.233 rounds to 6.23, 6.23

H 6.229 and 6.239 rounds to 6.23, 6.24

J 6.222 and 6.238 rounds to 6.22, 6.24

_____

One way to determine the rounded value is to add 0.005 to the number, then drop all digits to the right of the hundredths place.

Examples:

  6.222 +0.005 = 6.227 ⇒ 6.22

  6.238 +0.005 = 6.243 ⇒ 6.24

I need help with this plz help

Answers

Answer:

just swap the first two and you should be good

vivien needs to proofread a 500 page novel she plans to do 30 page on the first day and increase the number by 5 each dag how many days will it take her to complete the proof reading?​

Answers

Answer:

Step-by-step explanation:

in the problem it says she plans to do thirty pages so lets let 30 be our y value so ?x +30 and she plans to increase by 5 each day key word is each which means multiply so let 5 be our x value which will give you the equation 500=5x+30 so step by step here we go

                                                500=5x+30

1. 500=5x+30

500 −30= 5

Answer:

I think about 9 days

Step-by-step explanation:

first day is 30 next is 35, 40,45,50,55,60,65,70,75

i dont is this what u wanted but its done and it is

by the 9ths day you would have 525

i dont know what i did

(1/2 + 1/3) - (1/2 - 1/3) =

Answers

Answer:

.66

Step-by-step explanation:

1/2 + 1/3 - 1/2 - 1/3 = .66

Today is Saturday. What day of the week will it be in 3724 days?

Answers

Answer:

It is still going to be Saturday

Step-by-step explanation:

Because 3724 can be divided by 7

Since the remainder is 0, it's the same day:

Saturday

Answer:

saturday

Step-by-step explanation:

Two friends go out to eat and order the same meal. They pay a 6% sales tax and a 20% tip on their meals. The total bill, including tax and tip, is $27.72. How much did each meal cost before tax and tip? (Assume that the friends pay a tip on the cost of the meals only.) IF CORRECT I WILL GIVE BRAINLIEST!!

Answers

Sales tax and tip will increase the price of an item.

The cost of each meal is: $10.89

Let the cost of both meals be x.

A 20% tip means that, the current price is:

[tex]Price = x \times (1 + 20\%)[/tex]

A 6% sales tax on the meal means that, the current price is:

[tex]Price = x \times (1 + 20\%) \times (1 + 6\%)[/tex]

So, we have:

[tex]Price = x \times (1 + 0.20) \times (1 + 0.06)[/tex]

[tex]Price = x \times (1.20) \times (1.06)[/tex]

[tex]Price = x \times 1.272[/tex]

The amount paid is $27.72

So, the equation becomes

[tex]27.72= x \times 1.272[/tex]

Make x the subject

[tex]x = \frac{27.72}{1.272}[/tex]

[tex]x = 21.78[/tex]

So, the cost of each meal is:

[tex]Each= \frac{21.78}{2}[/tex]

[tex]Each= 10.89[/tex]

Hence, the cost of each meal is: $10.89

Read more about sales tax at:

https://brainly.com/question/19715580

71 degrees Determine the value of x.

A) 109 degrees
B) 71 degrees
C) 142 degrees
D) 35.5 degrees ​

Answers

Answer:

A) 109 degrees

The answer is 109 degrees because each opposite angle added equals 180°. 180-71= 109

Good luck on your assignment ⊂(◉‿◉)つ

Determine which box each reason should go in to justify each step taken to solve
the equation. Make the unused reason #4
54+2x=5x-3(2+6x)
Distributive Property
Multiplication Property
Division Property
>
Addition Property
<

Answers

Answer:

Am how should we answer this

what is happening in this graph from point b to c?

Answers

Answer:

at o to a the speed increases from a to b the speed is constant the from b to c the speed is decreasing there is a stop from c to d the speed increases at d to e going constant again at e to f

Step-by-step explanation:

Twix bars cost $1.29.each. If you buy 10 bars, how much
change will you receive from $20?

Answers

Answer:

$7.10

Step-by-step explanation:

1 bar = $1.29

10 bars = 10 x $1.29 = $12.90

Change received = $20 - $12.90 = $7.10

Answer:

7.1

Step-by-step explanation:

1 twix bar = $1.29

10 twix bar = $12.9

change = 20 - 12.9

= $7.1

Find the product of 6.35 x 5.2.

Answers

Answer:

33.02

Step-by-step explanation:

Help me asap I’ma give u brainlest if u do

Answers

Answer:

The answer is b..

Step-by-step explanation:

hope its helpful

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