Find the 7th term of the geometric progression which begins -6250, 1250, -250....

Answers

Answer 1

Answer:

a(7) = -0.4

Step-by-step explanation:

The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio.  In this problem, a(1) = -6250.  To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.

Then the formula for THIS geometric progression is

a(n) = -6250*(-0.2)^(n - 1).

Thus, the 7th term of THIS progression is

a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4

Answer 2

Answer:

a₇ = - [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The nth term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]


Related Questions

Please help I’m struggling

Answers

ANSWERS:
m=4

m=18

j=38

n=5

hope this helps!

A reflection is a flip over the

Y-axis

Line of reflection

X-axis

Answers

Answer

LINE OF REFLECTION

Step-by-step explanation:

In geometry, reflection basically just means flipping things over a line.

Emma's Pizza can make 12 pizzas in 40 minutes. How many pizzas can they make in 5 hours?

Answers

Answer:

90

Step-by-step explanation:

Change 5 hours to minutes. (5x60, and 300 minutes)

Divide 300 by 40. (7.5)

Then, multiply 7.5 by 12 (90)

Answer:

90 pizzas

Step-by-step explanation:

We know 5 hours = [tex]5\times60 = 300[/tex] minutes

If you consider 20 minutes as a period, 5 hours .as well as 300 minutes. contains [tex]\frac{300}{20} = 15[/tex] periods.

Emma can make 12 pizzas in 40 minutes.

So she can make 6 pizzas in 20 minutes (in half time)

In 1 period she makes 6 pizzas.

In 15 periods she makes [tex]15\times6 = 90[/tex] pizzas (Answer.)

» A group of 6 friends buy a video game that costs $60. They each
spend an equal amount of money. How much money does each
friend spend?
1» Let m stand for how much money each friend spends. Which equations
can be used to solve the problem? Choose ALL the correct answers.
m = 60 x 6
m= 60 = 6
m = 6 x 60
60 = 6 x m

Answers

Answer:

m = 60/6

60 = 6 x m

Step-by-step explanation:

Write 3-5 sentences about the process of the Difference of squares Factoring Method

Answers

To factor a difference of squares, the following steps are undertaken: Check if the terms have the greatest common factor (GCF) and factor it out. Remember to include the GCF in your final answer. Determine the numbers that will produce the same results and apply the formula: a2– b2 = (a + b) (a – b) or (a – b) (a + b)

Write the y-intercept of the graph of -6x + y = 8.

Answers

Answer:

0,8

Step-by-step explanation:

Income East and West of the Mississippi




For a random sample of households in the US, we record annual household income, whether the location is east or west of the Mississippi River, and number of children. We are interested in determining whether there is a difference in average household income between those east of the Mississippi and those west of the Mississippi.



Incorrect answer iconYour answer is incorrect.



(a) State the null and alternative hypotheses. Your answer should be an expression composed of symbols:



Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River.



(b) What statistic(s) from the sample would we use to estimate the difference?



Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River.

Answers

Answer:

H0: μ1 = μ2

H1: μ1 ≠ μ2 ;

xbar1 - xbar2

Step-by-step explanation:

The Null hypothesis should state that there is no difference in average household income between those located east and west of the Mississippi

H0: μ1 = μ2

H1: μ1 ≠ μ2

Statistic from the sample that would be used to estimate difference

Statistic refers to the numerical characteristic derived from the sample.

To estimate the difference in the average household income between those located east and west of the Mississippi, we take the sample mean of the two groups

Group 1, East of Mississippi = xbar 1

Group 2, West of Mississippi River = xbar 2

xbar1 - xbar2

Let f be differentiable such that f(-2)=3,f(3)=5, f'(-2)=4 and f'(3)=6. Let g be differentiable functions such that g(x)=f^-1 (x) for all x. What is the value of g'(3)

Answers

Answer:

[tex]g'(3)=\frac{1}{4}[/tex]

Step-by-step explanation:

There is a rule in calculus that tells us that:

[tex]g'[f(x)]=\frac{1}{f'(x)}[/tex]

In this case, we know that f(-2)=3, therefore:

g'(3)=g'(f(-2))

So, if we used the rule, we would get that:

[tex]g'[f(-2)]=\frac{1}{f'(-2)}[/tex]

we know that f'(-2)=4, so:

[tex]g'[f(-2)]=\frac{1}{4}[/tex]

or:

[tex]g'[3]=\frac{1}{4}[/tex]

Select all equations that match the solution for this equation: 5(x - 12) = 20

60 + 20 ÷ 5
1/5(60 + 20)
(16 + 20) • 5
(16 - 12) • 5
1/5(75 - 63

Answers

Answer:

The answer is x=16 so whatever the equations should look like it should be this:

Step-by-step explanation: 5(x-12)=20 5x-60=20 add 60 to 20 and get 5x=80 x=16

help pls ok fast pls

Answers

Answer:

I would say the last one. If its wrong then its definitely option 9y/3

Sorry if its wrong :(

i'll pay someone to do my math <3

Answers

I would like to be paid, then xD

find the length of missing side x

Answers

B should be the answer for the triangle

Answer: x=24 the formula for hypotenuse is A^2 +b^2=c*2 but we have c^2 so to get a leg you do c^2- a leg and in this cas you get 24

Step-by-step explanation:

A 13.5​-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall​ (above the fire​ truck) if the ladder makes an angle of 59 22' with the horizontal.

Answers

Answer:

11.6m

Step-by-step explanation:

A 13.5​-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall​ (above the fire​ truck) if the ladder makes an angle of 59 22' with the horizontal.

We solve the above question using the Trigonometric function of Sine.

sin θ = Opposite/ Hypotenuse

Hypotenuse = Length of the ladder = 13.5m

Opposite = d

θ = 59° 22'

= 59° + 22/60

= 59° + 0.367

= 59.367°

Hence,

sin 59.367 = d/13.5m

d = sin 59.367 × 13.5m

d = 11.616057416m

Approximately = 11.6m

Therefore, the distance d the ladder goes up the wall is 11.6m

Michaela and Dema each multiplied 1/3 x 4/3. Michaela got 4/9 and Dema got 5/6. Which student found the correct​ answer? EXPLAIN

Answers

Answer: Michaela's answer

Step-by-step explanation:

Dema added the numbers together

The area of the entire figure is 1 square unit

Answers

Answer:

Area of shaded part = 0.42 unit²

Step-by-step explanation:

Given:

Length of shaded part = 0.7 unit

Width of shaded part = 3 x 2 = 0.6 unit

Find:

Area of shaded part

Computation:

Area of rectangle  = L x B

Area of shaded part = 0.7 x 0.6

Area of shaded part = 0.42 unit²

estimate the product then find the product​

Answers

Answer:

1 5/6 = 11/6

7 1/3 = 22/3

11/6 + 22/3 = 11/6 + 44/6 = 55/6 ≈ 9.16

1 5/6 = 11/6

11/6 - 1/10

55/30 - 3/30 = 52/30 ≈ 1.73

9.16 x 1.73 = 15.8468

So, 15.8468 is the result.

I hope this is helpful. :)

Please, do me Brainliest!

A local frame shop charges $5 per foot for the wood to make a frame. You want to have an 8 inch by 10 inch picture frame. How much will it cost?

Answers

Answer:15$

Step-by-step explanation:

find the length of x
urgent pls help.

Answers

4. The two triangle are congruent.

Answer:

Step-by-step explanation:

the triangles are congruent and the factor is 1/2

x=8/2=4

Can some one plz help me

Answers

Answer:

Step-by-step explanation:

A is midpoint of DB

DA ≅ AB  ------------------(I)

B is midpoint of AE

BE≅ AB ---------------(II)

From (I) & (II)

DA ≅ AB    

∠D ≅ ∠E                Given

CD ≅  CE               {Sides opposite to equal angles are equal}

ΔCDA ≅ ΔCEB     { S A S congruent}

Answer:

AB = BA                            reflexive property

AB = BE and DA = AB     definition of midpoint

then DA = EB                            

CD = CE                           ΔCDE is isosceles

ΔCDA ≅ ΔCEB                SAS

Step-by-step explanation:

Need Answers Asap I will try to give brainlest if i have it

Answers

Answer:

9. 1,800 m/s

Step-by-step explanation:

450 ÷0.25 = 1800.

*Hope this helps*

If anyone can help I would really appreciate it!

Answers

Answer: y= 2/5 * x - 6

Step-by-step explanation:

y intercept

y= 2/5 x+b putting in the point 5,4

y=2/5 5+ b

4=10+b

b= -6

Solve and show work.

Answers

5+x=5x+2 =7x. 7x8= 56x

for the data in the table, how many data points are in each group for the median-median line

Answers

Answer: left: 5, center: 6, right: 5

Step-by-step explanation:

Answer:

5,5,5

Step-by-step explanation:

Solve for t. You must write your answer in fully simplified form.

−19=7t

Answers

Answer:

t=-19/7

Step-by-step explanation:

you need to isolate for t which means you need to get t all alone on one side of the equation. Do do that you can divide both sides by 7. This gives you -19/7=7t/7

we know that anything divided by itself is 1 so we get -19/7=t

This is the simplest for because 19 and 7 are both prime numbers, so you can't simplify them.

t = -19/7

The goal is to get t by itself. To do that you have to divide both sides by 7. The right side’s 7 will cancel.

-19/7 is the simplified form because -19 cannot by divided by 7 in the sense that the answer will be a whole number (it’ll be a decimal or an improper fraction, etc).

Solve for x. -4x + 6(6– 2x) = -7x – 36 Select one:
a. -7
b.15
c.8
d.3​

Answers

I have to atletas write 20 words by i know for a fact it’s b

Answer:

8

-4x+6(6-2x) = -7x - 36

-4x+36-12x = -7x-36

-16x+36 = -7x-36

-16x +7x = -36-36

-9x = -72

x = 72/9

x = 8

4.8-2/5(w-6)
mathematic equation

Answers

Answer:

[tex] \frac{0.56}{w - 6} [/tex]

Step-by-step explanation:

1) Simplify 4.8 - 2 to 2.8.

[tex] \frac{2.8}{5(w - 6)} [/tex]

2) Simplify.

[tex] \frac{0.56}{w - 6} [/tex]

Therefor, the answer is 0.56/w-6.

Pls help me find the area

Answers

I might be wrong but I think all you have to do is 6 x 6 and then multiply that answer by 3

Answer:

27

Step-by-step explanation:

6x3=18, which means the bottom half of the shape is 18. The top half is a triangle, and triangles are half a square or rectangle. So again, 6x3=18. 18/2=9. So 18+9=27. So the ANSWER IS 27

Please answer quickly

Answers

Answer:

1 1/2

Step-by-step explanation:

juan drove 126 miles in 3 hours. If he continued at the same rate, how long would it take to travel 336 miles? ​

Answers

Answer:

8 hours

Step-by-step explanation:

First you divide 126 by 3 to get the Miles Per Hour, you should get 42 Miles Per Hour, then, just divide 336 by 42 to get the numbers of hours he will have to drive, (which is 8)

Answer:

8 hours

Step-by-step explanation:

126 miles - 3 hours

336 miles - x hours

Cross multiply

126x = 336 x 3

126x = 1008

Divide both sides by 126

x = 1008/126

x = 8

Perfect Parties, a party supplies store, always gets busy around graduation.
Currently, they have 3 orders: one for 500 balloons, one for 275 balloons,
and one for 125 balloons. Each balloon must be tied with a 5-foot-long
ribbon. How many yards of ribbon do they need for their current orders?
yards

Answers

Answer:

They will need 1500 yards of ribbon

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