Consider the following sequence
152, -76, 38, -19
Write a rule for the nth term and then find [tex]a_7[/tex]

Answers

Answer 1

Answer:

a₇ =  2.375

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = [tex]\frac{-76}{152}[/tex] = [tex]\frac{38}{-76}[/tex] = [tex]\frac{-19}{38}[/tex] = - [tex]\frac{1}{2}[/tex]

This indicates the sequence is geometric with nth term

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

where a₁ is the first term and r the common ratio

Here a₁ = 152 and r = - [tex]\frac{1}{2}[/tex] , then

[tex]a_{n}[/tex] = 152 [tex](-\frac{1}{2}) ^{n-1}[/tex] , so

a₇ = 152 [tex](-\frac{1}{2}) ^{6}[/tex] = 152 × [tex]\frac{1}{64}[/tex] = 2.375

Answer 2

Answer:

Solution given:

first term [a]=152

second term[b]=-76

common ratio[r]=[tex] \frac{-76}{152}[/tex]=-1/2

now

for nth term ,we have

nth term =a [tex] {r}^{n -1} [/tex]

now

7th term==152[tex] {-1/2}^{7 - 1} [/tex]

=152×1/64=19/8


Related Questions

what is the slope of the line?

What is the y-intercept?

Write the equation of the line?

Answers

Answer:

The slope is 2

The y-intercept is 3

The equation is y = 2x +3

Step-by-step explanation:

The equation goes up 2 squares and over 1 square. 2/1 = 2

For y-intercept, look at the y-axis

The equation is supposed to be written as y = mx + b

m being the slope and b being the y-intercept.

7. Which expression is equivalent to 3-4.3^6?


Answers

3^2 Is the answer. Which is the third option.

I need help please. I been here for 15 minutes.

Answers

Answer:

22

Step-by-step explanation:

first i would find out the radius and then deviede byt that

betty saves 161 a month she saves 141 less than jack how much will jack save in two years

Answers

Answer:its 20

Step-by-step explanation:

because it is

Answer:

7248 A year

Step-by-step explanation:

Since the question was poorly described, i can only assume that Jack saves 141 more than betty and since the question didn't have any units i can't safely assume that 161 is (money)

i’ll mark branliest plzzz answer

Answers

Answer:

AB = 10 m

Step-by-step explanation:

Given that <ACB = <ECD, then triangles ABC and EDC are similar.

Let the height of the solar panel (AB) be represented by x. Thus by comparing the triangles, we have;

[tex]\frac{x}{6}[/tex] = [tex]\frac{45}{75}[/tex]

45x = 6 x 75

45x = 450

x = [tex]\frac{450}{45}[/tex]

x = 10

The height of the solar panel is determined to be 10 m.

can you help me with this,please?​

Answers

Answer:

-5/9

Step-by-step explanation:

-4/9 - 1/9 = -5/9

PLEASE PLEASE HELP!!

For problems 11 and 12, find the area of the figure. Round your answer to the nearest tenth, if necessary.

Answers

Answer:

Step-by-step explanation:

11)

A= (B x H)/2

A= (2.9x3.2)/2= 4.64cm²

12)

A= (B+b)H /2

A= (12+10)5.6 /2 = 61.6in

Answer:

I think that the answer might be 9.30 for the first one and the second one I think is 670.

Step-by-step explanation:

To find the area, you have to multiply the height and width for the two figures.

3.2 × 2.9 = 9.28

12 × 10 × 5.6 = 672

I think you round those to the nearest tenth. 9.28 would be 9.30 and 672 would be 670. I hope this answers your question.

What does 730 dived by 2 over the power of 9 then multiply all by 7, then divided eveything by 36 cubed.? Can anyone help?

Answers

Nosse  pa jajjsja sajs f pa nel bro

Answer:

[tex]\frac{67073747877258500000000}{3}[/tex] = 2.24 × 10²²

Step-by-step explanation:

[tex]\frac{(\frac{730}{2})^9*7}{36}[/tex]  :

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

[tex]\frac{67073747877258500000000}{3}[/tex]

Decimal Form:

2.23579159 × 10²² ≈ 2.24 × 10²²

Kedir bout 200 eggs for Birr 50 Birr and sells them for Birr 0.30 each.
Did he get profit? If so find his profit percent. Step

Answers

Answer:

Yes, Kedir made profit.

Step-by-step explanation:

0.30 x 200 = 60 Birr

60 Birr is more than 50 Birr

He made profit of 10Birr, which is 20% of 50 Birr

find the radius, diameter, circumference, and area of this circle. ​

Answers

Answer:

Area of circle = 28.28 unit²

Radius of circle from center point = 3 units

Diameter of given circle = 6 units

Circumference of circle = 18.85 unit

Step-by-step explanation:

Given:

Circle in third quadrant

Radius of circle from center point = 3 units

Diameter of a circle = 2 x Radius of circle

Diameter of given circle = 2 x Radius of circle from center point

Diameter of given circle = 2 x 3 units

Diameter of given circle = 6 units

Circumference of circle = 2πr

Circumference of circle = 2(22/7)(3)

Circumference of circle = 18.85 unit

Area of circle = πr²

Area of circle = (22/7)(3)²

Area of circle = 28.28 unit²

Angie and Kenny play online video games. Angie buys 2 software packages and 3 months of game play. Kenny buys 1 software package and 1 month of game play. Each software package costs ​$30. If their total cost is ​$170​, what is the cost of one month of game​ play?

Answers

Answer:

$20

Step-by-step explanation:

Kenny's gameplay: 1 month

Angie's gameplay: 3 months

1+3= 4

Kenny bought 1 software pack

Angie bought 2 software packs

1+2= 3

Each software package= $30

So 30×3= 90

Total cost= $170

170-90= 80

80÷4= $20

There you go :)

4. Two consecutive even numbers are such that the sum of the larger number and three times the smaller number is 42. Find the two numbers.

Answers

Answer: The two numbers are 10 and 12.

Step-by-step explanation:

Let the two consecutive numbers are x and x +2.

As per given, we have

[tex](x+2)+3x=42\\\\\Rightarrow\ 4x+2=42\\\\\Rightarrow\ 4x=40\\\\\Rightarrow\ x=10[/tex]

Smaller number = 10

Larger number = 10+2=12

Therefore, The two numbers are 10 and 12.

0.6c+2.5=3.22 solve for c

Answers

The answer to 0.6c+2.5=3.22 solving for C Answer:
c=1.2

What is the solution to the equation 4 + 3/2y = 6?
y = 1
y=4
y = 500
y = 2000

Answers

Answer:

y=4/3

Step-by-step explanation:

First subtract 4

3/2y=2 then Divide by 3/2(or multiply by 2/3)

2*2/3

Answer: y=4

Step-by-step explanation:

What is the additive inverse of (- 2) ?

Answers

Answer:

2 because it holds the same value as -2 and its the additive inverse

Compare the values of the digit 8 in the number 6,084 and in the number 9,821

Answers

Answer:

Step-by-step explanation:

The eight in 6,084 is in the tenths place. Separately, it would be 80. The 8 in 9,821 is in the hundredths place. This one is worth 800. So the 8 in 9,821 is greater than the 8 in 6,084.

If you spin the spinner two times, how many possible outcomes are there?

Answers

Answer:

1 Answer. The chance of anding on A for one spin is 90+45360=38. So the probability of that happening twice in a row is 38×38=964.

Step-by-step explanation:

38x38=974 !!!!!!!!!!!!!!

2x + 1 = 7 solve the equation


pls help me im stuck on this question

Answers

Answer:

x = 3

Step-by-step explanation:

Brainliest Please!

Answer:

[tex]2x + 1 = 7 \\ 2x = 7 - 1 \\ 2x = 6 \\ x = \frac{6}{2} \\ x = 3[/tex]

Find the indicated probability
The probability that Luis will pass his statistics test is 0.4. Find the probability that he will not pass his statistics test
O A. 20.00
OB. 2.50
O C. 0.6
OD. 66.67

Answers

Answer:

C. 0.6

Step-by-step explanation:

If the probability of him passing is 0.4 then thats a 40% chance. But they're asking the probability of him failing so 100%-40%= 60%

60% = 0.6 in this scenario.

There is a 0.6 chance he will fail.

Consider the two solids shown.

What is the difference between the number of vertices of the two sides

Answers

Sheeeeesssshhhhhhhhh

Answer:

C. six

Step-by-step explanation:

A hexagonal prism has 18 edges and a hexagonal pyramid has 12 edges, therefore the difference between the number of edges of the two solids is six (6) because 18-12 is 6.

The word "difference" infers that we need to subtract numbers in order to find how many are left.

What’s the answer?!!!!!

Answers

Answer:

yes

because it has length, side and base

Answer:

No

Step-by-step explanation:

If it is a right angled triangle, then it will satisfy the pythagoras theorem, which is as follows:

Perpendicular² + Base² = Hypotenuse²

{hypotenuse is the longest side in a right-angled triangle}

LHS : Perpendicular² + Base²

(15)² + (10)² = 225 + 100 = 325

RHS : Hypotenuse²

(17)² = 289

LHS ≠ RHS

Does not satisfy pythagoras theorem

So the triangle is not right angled

Find the area of the object

Answers

Answer:

2π + 24 m² = 30.3 m²(3 s.f.)

Step-by-step explanation:

Area of rectangle: l x w

6 x 4 = 24 m²

Area of semicircle: πr²/2

r = 4/2 = 2

π x 2² / 2

4π / 2

Total area: 2π + 24 m² = 30.3 (3 s.f.)

What is the missing step in this proof

Answers

Its A
Explaining step by step

Marcus investigates businesses to see how much product they need to sell to make a profit. At a cupcake company, Marcus wants to figure out the minimum number of cupcakes they need to sell each week to make a profit.
It costs 35 cents in supplies to make each cupcake.

His rent, electricity and labor costs for his store each week is $1850.00.

He sells each cupcake for $5.50.

What is the minimum number of cupcakes needed to make a profit?


337



359


360


5286

Answers

Answer:

360

Step-by-step explanation:

WILL MARK BRAINLIEST IF RIGHT !
A car rental company offers two plans for renting a car
Plan A: 30 dollars per day and 12 cents per mile
Plan B: 50 dollars per day with free unlimited mileage

Answers

Answer:

Here you go

Step-by-step explanation:

It depends on how many miles they plan to drive as to which would be the better deal. Is there more context to the question?

CAN SOMEBODY PLEASE HELP ME!!! I WILL GIVE BRAINLY

Answers

Answer:

the angles are all the same

Step-by-step explanation:

that means they are sim

Answer:

BA is congruent to ZY

BC is congruent to ZX

Step-by-step explanation:

Since they are similar we can see that they have congruent parts due to there similarity

Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3, 0), H(2, -3) is a rectangle

Answers

Answer:

Quadrilateral MATH is a rectangle

Step-by-step explanation:

Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3, 0), H(2, -3) is a rectangle

A rectangle is a quadrilateral whose opposite sides have the same lengths and are parallel.

We solve the above question using the formula below to find the length of its sides

= √(x2 - x1)² + (y2 - y1)² when we are given vertices(x1, y1) and (x2, y2)

For side MA

M (-4,-1) A(-3,2)

√(-3 - (-4))² + (2 - (-1))²

= √1² + 3²

= √1 + 9

= √10 units

For side AT

A(-3,2). T(3, 0)

√(3 - (-3))² + (0 - 2)²

= √6² + -2²

= √36 + 4

= √ 40 units

For side TH

T(3, 0), H(2, -3)

√(2 - 3)² + (-3 - 0)²

√-1² + -3²

= √1 + 9

= √10 units

For side MH

M (-4,-1) H(2, -3)

√(2 - (-4))² + (-3 - (-1))²

= √6² + 2²

= √36 + 4

= √40 units

From the above calculation, we can see that

Side MA = Side TH = √10 units

Side AT = Side MH = √40 units

Opposite sides are parallel to each other, hence quadrilateral MATH is a rectangle

PLEASE HELP!! 30 points :)

What's the volume of a cube with a side length of 11 inches

• 33 in

• 121 in

• 726 in

• 1331 in

Answers

Answer:

V= 1331in³

Step-by-step explanation:

Answer:

1331 in

Step-by-step explanation:

A line passes through the points (6, 2) and (5, 0). What is its equation in slope-intercept form?

Answers

Answer:

y = 2x - 10

Step-by-step explanation:

y2 - y1/ x2 - x1

0 - 2 / 5 - 6

= 2

y = 2x + b

2 = 2(6) +b

2 = 12 + b

-10 = b

The equation is y = 2x - 10

Add the following lengths: 4' 9" + 7" =

Answers

Answer:

Your answer to this question is 16

The answer is 5’ 4”. All you do is add the 7 inches to the 4 feet 9 inches.
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