What is the explicit formula for this seuence?

2, 10, 50, 250, 1250,...

Answers

Answer 1

[tex]\longrightarrow{\green{2, 10, 50, 250, 1250,6250,31250}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2, 10, 50, 250, 1250,6250,31250 \\ \ \\ \ ✒ \: 2 \times 5 = 10 \\ \\ ✒ \: 10 \times 5 = 50 \\ \\ ✒ \: 50 \times 5 = 250 \\ \\ ✒ \: 250 \times 5 = 1250 \\ \\ ✒ \: 1250 \times 5 = 6250 \\ \\ ✒ \: 6250 \times 5 = 31250[/tex]

From the above, it is clear that a particular number in the sequence is 5 times the previous no. in the sequence.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]


Related Questions

Find the area of an equilateral triangle (regular 3 Gon) with the given measurement 9 in perimeter a=SQ.in

Answers

Answer:

3.897 [tex]in^{2}[/tex]

Step-by-step explanation:

equilateral triangles are also equiangular, meaning the have equal angles.

Triangle sum theory says that angles of a triangle add up to 180.

That means each angle is 60.

A = bh/2

You need the (h). The base of is 3.  Perimeter = 9, so each side is 3

Draw a perpendicular line for the height. The line cuts the base in half (1.5)

Using trigonometry you can find the height.

tan 60° = h/1.5

h = height, 1.5 is half of 3, 60° is the base angle.

multiply each side by 1.5

1.5(tan 60°) = h

h=2.598

then substitute h into formula

A= (2.598)(3)

           2

A = 3.897 rounded

PLZZZZ ANSWERrrrrrrrrrrr

Answers

It’s the first answer. p = 6E-0-4m

Find the value of x
Does anybody know this?

Answers

Answer:

x = 45 °

Step-by-step explanation:

We know that the sum of all angles if right angle triangle is 180 °.

90 ° + x + x = 180°

90 ° + 2 x = 180 ° ...( combine like terms)

2 x = 180 ° - 90 °.. ( subtract 90° from 180° )

2 x = 90°

x = 90° /2 ....( divide by 2 )

x = 45 °

Find the range of the given data set. 5/8,3/4,1 1/8,1 1/4

Answers

Range = Difference between the highest & lowest value in a set
3/4 and 1/8
3 x 8 - 1 x 4 = 24 - 4
4 x 8 = 32
24/32
8 goes into each to simplify the fraction
24/8 = 3 & 32/8 = 4
Answer 3/4

please help!! i will help you back!!

Answers

Answer:

c = 50

Step-by-step explanation:

Using the Pythagorean Theorem:

Plug in the values of a = 14, and b = 48

[tex]a^{2} +b^{2} =c^{2}\\14^{2} +48^{2} =c^{2} \\c^{2} = 2500\\c = \sqrt{2500} \\c = 50[/tex]

Which is the best description for the graph below?

A graph decreases from (0, 3) to (9, 0).

Answers

Answer:

Step-by-step explanation:

As we move from (0, 3) to (9, 0), we see x increasing by 9.  This is the 'run.'

At the same time, we see y decreasing by 3.  This is the 'rise.'

The slope of this line (graph) is m = rise / run = -3/9, or m = -1/3

Since we witness a decrease in y as we move from the first point to the second, we immediately suspect that the slope is negative.

help please!!..........

Answers

Answer: 0.36

Hope this helps...

Have a great day.

The Jaxson Company offers a 6% coupon bond with semi-annual payments and a yield to maturity of 7.27%. The bonds mature in 6 years. What is the market price of a $1,000 face value bond?

Answers

261.The bonds issued by B&H Enterprises bear a 7% coupon which is payable semi-annually. The bonds mature in 11 years and have a $1,000 face value.

i need help please. and explanation will help for tomorrow in a test:)

Answers

Answer : x^7

When you’re multiplying variables like the one in the problem above, instead of actually multiplying, you add. You only multiply in cases where there are coefficients.

Example : z^4 * z^2

Instead of multiplying, you would add the exponents together like so, z^6.

Help me please no links no

Answers

Answer:

x/4

Step-by-step explanation:

x + 4/4 = y + 3/3

do cross multiplication

4(y +3)=3(x +4)

4y +12=3x +12

4y=3x + 12 -12

4y=3x

y/3 = x/4

dilation of ?? about the origin

Answers

The correct answer is 2

An equation is shown below: −2(4x − 1) − 7 = 5 Which statement shows a correct next step in solving the equation? (1 point)
A)The equation can become −2(4x − 1) = −2 by applying the distributive property.
B)The equation can become −2(4x − 1) = 12 by applying the addition property of equality.
C)The equation can become −2(4x − 1) = 12 by applying the commutative property of addition
D)The equation can become −2(4x − 1) = −2 by applying the subtraction property of equality.

Answers

Answer:

B

Step-by-step explanation:

Add both sides of the equation by 7, which satisfies the definition of the addition property of equality.


How much was your loan
through capital One if you
paid $1200 in interest at a
rate of 1.5% for 5 years?

Answers

Answer:

Your loan was for $16,000.  

Step-by-step explanation:

The formula for simple interest is i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.

If i = prt, then p = i / (rt)

Here, p = ($1200) / 0.075 = $16,000

Your loan was for $16,000.  

The vertex form of the equation of a parabola is y = 2(x + 4)2 - 7.
What is the standard form of the equation?

Answers

To obtain the standard form of the equation of the parabola y=2(x+4)^2-7, first perform the indicated operations:
y = 2[x^2 + 8x + 16 - 7], or
y = 2[x^2 + 8x + 9],
or y = 2x^2 + 16x + 18
None of the given possible answers match. The fourth one, D, is closest to the above result, differing only in the constant term (25 versus 18).

plzz help everything is due tonight! 29 pointssss

Answers

Answer:

Step-by-step explanation:

given=  -3(2n-3)=25-8n

distributive property=-6n+9=25-8n

subtraction property= 2n+9=25

division property =2n=16

n=8  

What is the measure of Rsl?

Answers

Answer:

x = 13

Step-by-step explanation:

[tex](9x + 27) = (6x + 66) \\ 9x - 6x = 66 - 27 \\ 3x = 39 \\ x = \frac{39}{3} \\ x= 13 [/tex]

what percent of 80 is 42

Answers

Answer:

52.5 percent of 80 is 42.

Which expression is equivalent to the given expression?

Answers

Answer:

Step-by-step explanation:

20cd^-1

Which of the following graphs is the solution set of -10 < 3x - 4 < 8?

Answers

Answer:

3rd option

Step-by-step explanation:

Solving the inequality

- 10 < 3x - 4 < 8 ( add 4 to each interval )

- 6 < 3x < 12 ( divide each interval by 3 )

- 2 < x < 4

Since -2 less than x and x less than 4

This is indicated by an open circle at - 2 and 4 on the number line and the line between them is shown in black.

The solution is represented on the 3rd graph

Answer:

its the 3rd graph

Step-by-step explanation:

What is the length of CD???

Answers

32 is the length of CD

Help answer pleaseeeeeee

Answers

Answer:

Your answer is C.

Step-by-step explanation:

I answered it on paper. When it comes to explaining I have to be person to person. But I hope this helps. :)

Please help ASAP!!
I'll mark brainliest!

Answers

Answer:

729 x [tex]\frac{1}{3}[/tex]^x

Step-by-step explanation:

the third option

- trial and error

Find the value of x.
X
100°
Y
130°
Z
66°
W


Answers

Answer:

We are losing Earth's greatest biological treasures just as we are beginning to appreciate their true value. Rainforests once covered 14% of the earth's land surface; now they cover a mere 6% and experts estimate that the last remaining rainforests could be consumed in less than 40 years.

One and one-half acres of rainforest are lost every second with tragic consequences for both developing and industrial countries.

Rainforests are being destroyed because the value of rainforest land is perceived as only the value of its timber by short-sighted governments, multi-national logging companies, and land owners.

Nearly half of the world's species of plants, animals and microorganisms will be destroyed or severely threatened over the next quarter century due to rainforest deforestation.

Experts estimates that we are losing 137 plant, animal and insect species every single day due to rainforest deforestation. That equates to 50,000 species a year. As the rainforest species disappear, so do many possible cures for life-threatening diseases. Currently, 121 prescription drugs sold worldwide come from plant-derived sources. While 25% of Western pharmaceuticals are derived from rainforest ingredients, less that 1% of these tropical trees and plants have been tested by scientists.

Most rainforests are cleared by chainsaws, bulldozers and fires for its timber value and then are followed by farming and ranching operations, even by world giants like Mitsubishi Corporation, Georgia Pacific, Texaco and Unocal.

There were an estimated ten million Indians living in the Amazonian Rainforest five centuries ago. Today there are less than 200,000.

InIIIIII AMMMM ABBBOOuUUTT TOO PI$$$$$$ MINE SELLFF Brazil alone, European colonists have destrotheir homelands continue to be destroyed by deforestation, rainforest peoples are also disappearing.

, it is as if a library has burned down.

When a medicine man dies without passing his arts on to the next generation, the tribe and the world loses thousands of years of irreplaceable knowledge about medicinal plants.

Step-by-step explanation:

Complete the table. Function: f (x) = x+2

Answers

3 : (5)
4:(6)
7:(8)
8:(9)

Use the function below to find F(3).
F(x) = 4•C**
O A.
H im
O B.
O c.
4
27
O D.
81

Answers

Answer:

4-3

Step-by-step explanation:

solve for x

Value of function f(x) = 4(1/3)ˣ when x = 3, f(3) = 4/27

Correct option is C.

What is exponential function?

As the name suggests, the exponential function contains an exponent. Note, however, that the exponential function has a constant as its base and a variable as its exponent, not vice versa (if a function has a variable as its base and a constant as its exponent, it is a power function). The exponential function can be in one of the following forms:

Definition of exponential function

In mathematics, an exponential function is a function of the form f(x) = aˣ. where "x" is a variable and "a" is a constant  called the base of the function, which must be greater than 0.

Given, exponential function

f(x) = 4(1/3)ˣ

exponential function is defined for x∈R

Putting x = 3

f(3) = 4(1/3)³

f(3) = 4/27

Hence, 4/27 is value of function f(x) = 4(1/3)ˣ when x = 3

Learn more about exponential function here:

https://brainly.com/question/14355665

#SPJ7

Which graphs present functions?

A. graph B and D
B. graph A only
C. graph D only
D. graph C and graph D​

Answers

The answer is A. Graph B and D
The answer is option C. Graph D only represents a function; it passes the vertical line test, while the 3 other graphs fail the vertical line test.

Solve the following for y: 4x + 2y = −2 (5 points)


y = −2x + 1


y = 2x + 1


y = −2x − 1


y = 2x − 1

Answers

Answer:

Step-by-step explanation:

4x + 2y = −2

Divide by two on both sides

2x+y = -1

subtract 2x from both sides

y = -1 -2x = -2x -1

Answer:

y = -2x - 1

Step-by-step explanation:

4x + 2y = -2

→ Minus 4x from both sides

2y = -4x - 2

→ Divide both sides by 2

y = -2x - 1

factorise the following expressions;
1. 8x + 6 2. 4x + 2

Answers

Answer:

Step-by-step explanation:

1. 8x + 6

2(4x+3)

2.4x+2

2(2x +1)

Answer:

[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]

1. [tex]\boxed{Factorise \ = \ 8x + 6}[/tex]

To factorise this, you have to take the common factor out. In this case, it's 2.

[tex]8x + 6 \\ = 2(4x + 3)[/tex]

[tex]\boxed{Answer \ = \ 2(4x + 3)}[/tex]

2) [tex]\boxed{Factorise \ = \ 4x + 2}[/tex]

To factorise this, you have to take the common factor out. In this case also, it's 2.

[tex]4x + 2 \\ = 2(2x + 1)[/tex]

[tex]\boxed{Answer \ = \ 2(2x + 1)}[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

ღ [tex]RainbowSalt2^{2}2^{2} [/tex]

6. Find the area of the figure below. Round to the hundredths place.​

Answers

Answer:

300.94 sq.m

Step-by-step explanation:

A solid in the shape of cylinder with two hemisphere to each of its ends.

Length of the entire solid = 18 mDiameter of the solid = 7 mRadius of hemisphere , r = 7 / 2 = 3.5 m

To findTotal surface area

Formula UsedCurved surface area of hemisphere= 2π ×r ²Curved surface area of cylinder = 2 π × r × h

Solution :-

Finding, the Curved surface area of cylinder

Calculate the height of cylinder

Height of cylinder = total length of solid - 2 × radius of hemisphereHeight of the cylinder = 18 m - 2 × 3.5= 18 m - 7 m

Height of cylinder = 11 m

Now, we have

Height of cylinder = 11 m

Radius of cylinder = 7 / 2 = 3.5 m

Using Formula :-

Curved surface area of cylinder = 2× π × r × h

Substitute the values

Curved surface area of cylinder = 2π× 3.5m×11m.

Using the value of π = 3.14

Curved surface area of cylinder =2×3.14× 3.5m × 11 m.

multiply, we get.

Curved surface area of cylinder = 241.78 m².

Finding curved surface area of hemisphere

Using Formula

Curved surface area of hemisphere = 2 × π × r²

substitute the values into the formula

Curved surface area of hemisphere = 2 π × ( 3.5 )²

Evaluate the exponent

Curved surface area of hemisphere =2π×12.25m².

Using value of π = 3.14

Curved surface area of hemisphere = 2 × 3 14 × 12.25 m ²

multiply , we get

Curved surface area of hemisphere = 76.93 m².

Find the total area

Total area of capsules = Curved surface area of cylinder + 2 (Curved surface area of hemisphere)

Total surface area of capsules = 241.78 m²+ 2 × 76.93 m².

Total surface area = 241.78m² + 153.86m².

Subtract and finally we get

Total surface area = 395.64 m ²

All of the following numbers are rational except _____.

Answers

Answer:

What are the numbers?

Step-by-step explanation:

I can help if you give the numbers :)

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