Mathematics College

Consider the sequence 100, 50, 25,12.5 ...
Can it arithmetic? Can it be geometric? why?

Answers

Answer 1

Answer:

(a) Arithmetic? No. Geometric? YES!

(b) The terms will never become zero or negative.

Step-by-step explanation:

Explaining part (a)

An aritmetic sequence has the same difference between each term, positive or negative.

Example: 1, 4, 7, 10, 13, ... the difference between consecutive terms is always 3

Example: 0, -2, -4, -6, -8, ... the difference between consecutive terms is always -2

A geometric sequence has the same ratio (or multiplier) between consective terms, positive or negative, causing an increase or a decrease.

Example: 1, 2, 4, 8, 16, ... each term is 2x the term before it

Example: 64, 32, 16, 8, 4, 2, 1, (1/2), (1/4), (1/8), ...each term is half the term before

Example: +91, -27, +9, -3, +1, -1/3, +1/9. -1/27, ... each term is -1/3 of term before

In the given sequence, we can see that the difference between terms is not always the same number. 100 - 50 = 50, but 50 - 25 = 25, not 50.

However, we do see that each term is half the term before it. That is definitely geometric.

Explaining part (b)

For 100, 50, 25, 12.5, ... we get each term by multiplying the previous term by (1/2), which is a positive number. No matter how many times you multiply by a positive, you'll never get a negative or get a zero.

Multiply by 1/2 enough times, and you get as small a positive number as you like, but it will always be positive, even if you get down to billionths or trillionths.

Related Questions

3) Rita has 3/4 m of Ifugao cloth. She used 2/3 m for placement. What part
of Ifugao cloth was left.

Answers

Answer:

[tex]Unused = \frac{1}{12}m[/tex]

Step-by-step explanation:

Given

[tex]Total= \frac{3}{4}m[/tex]

[tex]Used= \frac{2}{3}m[/tex]

Required

Determine the part left

The part left is calculated using:

[tex]Used + Unused = Total[/tex]

[tex]Unused = Total - Used[/tex]

[tex]Unused = \frac{3}{4}m - \frac{2}{3}m[/tex]

Take LCM

[tex]Unused = \frac{9m - 8m}{12}[/tex]

[tex]Unused = \frac{1m}{12}[/tex]

[tex]Unused = \frac{1}{12}m[/tex]

In ΔWXY, x = 1.2 cm, ∠X=45° and ∠Y=108°. Find the length of w, to the nearest 10th of a centimeter.

Answers

Answer:

w = 0.8cm

Step-by-step explanation:

Find the length of AB and AC. please help...

Answers

Answer:

AB=30

AC=22.5

Step-by-step explanation:

8/15=12/x

x=22.5 (AC)

8/15=16/x

x=30 (AB)

30 out of 600=____ %

Answers

Step-by-step explanation:

let % be X

30 = x% of 600

30 = x × 600 / 100

x = 30 × 100 /60

x = 5

follow me

Which of the following is an arithmetic sequence?
n
1
-1
2
3
3 4
-3-1
an
n
1
2
2
-2
3 4
6 -10
an
n
1
3
ON
3
9
4
15
an
n
1
4
2
14
3 4
24 32
an

Answers

Answer:

Step-by-step explanation:

Answer:

b on edge

Step-by-step explanation:

Find the value of x in the equation below.
6x=24

Answers

Answer:x=4

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

6x = 24

(6x ÷ 6) = (24 ÷ 6)

x = 4

witch one is correct hellllppp

Answers

Answer:

Step-by-step explanation:

'but' is a conjunction

D but is a conjunction

If 64 is added to a number, the result is 40 less than three times the number. Find the number.

Answers

Answer: 52

Step-by-step explanation:

[tex](x+64)+40=3x\\x+64+40=3x\\x+104=3x\\104=2x\\ 52=x[/tex]

Checking my work:

[tex]52*3=156\\\\52+64=116\\116+40= 156[/tex]

At the first stop, 17 people
got off the bus. Now there
are 35 people on the bus.
How
mony were on the
bus to begin win?

Answers

Answer:

There were 52 people on the bus to begin with.

Step-by-step explanation:

If 17 people got off and 35 were remaining then you have to add 17 + 35 = 52

Answer:

17+35=52

Step-by-step explanation:

AT BEGNING THERE WERE 52 people on bus so when the 17 people got off the bus on first stop only 35 remained.

Find the measure of angle 4 and explain.

Answers

Pizza pizza Liz a Liza

What are the terms or 8x+6

Answers

Answer:

14x. ....................

can someone please help me in this.

Answers

-7 x y^3 z^2

Explanation:
-14/2=-7
x^2/x=x
y^4/y=y^3
z^5/z^3=z^2

16x+40y= ?
Pls help i will give u brainliest

Answers

factor
16=2 times 2 times 2 times2
40=2 time 2 times 2 times 5
common is
2 times 2 itmes 2=8
reverse distribute
ab+ac=a(b+c)
16x+40y=8(2x+10y)

8(2x+10y)

Answer:

8(2x+5y)

Step-by-step explanation:

i used s y m b o l a b *hope this helps :)

FIND THE LENGTH OF AB.

Answers

Answer:

b. about 9.4 units

Step-by-step explanation:

use the distance formula:

d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

x1=4, x2=9, y1=2, y2=10

so d=√((9-4)²+(10-2)²)

d=√((25)+(64))

d=√89

d= about 9.4

What property is used to show that 3(4 – 6) = 12 – 18?
Distributive Property
Associative Property
Commutative Property
Subtraction Property

Answers

Answer:

Distributive Property

Step-by-step explanation:

Answer:

Distributive property

Step-by-step explanation:

a(b-c)= (a×b) - (a×c)

3(4-6)=(3×4) - (3×6)

= 12 - 18

-7x — '8y = -12
4х – бу = 28
Pls help it’s due tomorrow!

Answers

Answer:

x=4 and y=−2

Step-by-step explanation:

1. 3(−7x−8y=−12)

−4(4x−6y=28)

2. −21x−24y=−36

−16x+24y=−112

3. divide

4. Substitute 4 for x in−7x−8y=−12:

(−7)(4)−8y=−12

5. −8y−28+28=−12+28

divide 8 to 16

y=-2

Answer:

(4, -2)

Step-by-step explanation:

Given system:

-7x - 8y = -12 4х - 6у = 28

Simplify the second equation:

2x - 3y = 14

Solve the system by elimination, multiply the first equation by 2 and the second equation by 7 and add up. Solve for y:

-7x(2) - 8y(2) + 2x(7) - 3y(7) = -12(2) + 14(7)-16y - 21y = -24 + 98-37y = 74y = -74/37y = -2

Find x using the second equation:

2x - 3(-2) = 142x = 14 - 62x = 8x = 4

Solution is (4, -2)

is there a difference between a prisoner and a student when it comes to freedom

Answers

Answer:

For my opinion, it is a yes

Explanation:

there is a difference since most students may experience stress when in terms in acads but if we realized something that when we grow older, we have our limits from the ones in childhood.

Students can play and do whatever they want. they aren't limited with the places and the capacity they have as a child

but for prisoners, it will be harsh mostly when it comes to money since being a prisoner will cost much to the government to let you free.

That is only FOR MY OPINION. I'm sorry if it isn't accurate.

Answer:

Yes for me

Step-by-step explanation:

Cause prisoner will be free years or month, student is different to prisoner cause prisoner will not do homework, activities, and never experience outdoor. It depend how you feel or act so goodluck and be safe✨

How long should that board be to the nearest hundredth of a foot

Answers

Answer:

Board foot calculator determines the volume of lumber in board footage. ... The length of the wooden board should be expressed in feet, while the width ... For example, a piece of hardwood can be 8 feet long, 10 inches wide, and 1.25 ... Measure the length of it in feet, rounding to the nearest decimal pla

how many 1/4 inch cubes does it take to fill a box with width 1 1/4 inches, length 3 3/4 inches and height 2 1/4 inches?

Answers

Answer: 125 cubes

Step-by-step explanation: In each side first layer for the width, 11 cubes can fit. Sine 1/4 can fit in one 4 times, 4 * 3 = 12. 12 plus 2 (2/4=1/2) is 14.

11 + 14 = 25.

25 is one layer. Since the height is 1 1/4 inches, multiply 25 by 5.

Answer: 675

Step-by-step explanation: the dimensions of the box are 5 1/4 inch cubes x 15 1/4 inch cubes x 9 1/4 inch cubes

5 x 15 x 9 = 675 cubes

1 2/3 + (-2/5)

Math homework homework math

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1 4/15

1x3+2/3 - 2/5

3+2/3 - 2/5

5/3 - 2/5

LCD = 15

5x5/3x5 - 2x3/5x3

25/5 - 6/15

25-6/15

19/15

1 4/15

Answer:

1.26666666667

What is 7x2-4+6x3-4x-x4 is standard form

Answers

Answer:

-x^(4)+6x^(3)+7x^(2)-4x-4

Step-by-step explanation:

Answer:

-x^2 + 6x^3 +7x^2 -4x-4

Step-by-step explanation:

Bella has a stack of three cards numbered 1, 2 and 3. She flips a card, puts in back the back stack, and flips another card. What is the sample space and possible outcomes of flipping cards from the stack two times?

Answers

Answer: The probability that both cards that are drawn are hearts is

Explanation:

First off, know that there are 13 heart cards in the deck of 52 cards. Therefore, the chance of pulling a single heart card is

. Let's say we do pull a heart card. Since there is no replacement for the heart card taken out of the deck, we now have 12 heart cards out a deck of 51 cards. The chance of pulling out a heart card in now

. To find the probability that both cards drawn out are hearts, multiply the two fractions together:

(

)

⋅

(

)

156

2652

Step-by-step explanation:

6x-8y=-38,5x+12y=99
what is I need some help

Answers

Answer:

x=3, y=7. (3, 7).

Step-by-step explanation:

6x-8y=-38

5x+12y=99

------------------

5(6x-8y)=5(-38)

-6(5x+12y)=-6(99)

------------------------

30x-40y=-190

-30x-72y=-594

----------------------

-112y=-784

112y=784

y=784/112

y=7

5x+12(7)=99

5x+84=99

5x=99-84

5x=15

x=15/5=3

Given G(x) = -3/2x-9, if g(x) = -48, find x.

Answers

Answer:

X= 4.53

Step-by-step explanation:

You'll input g(x)= -48 into the equation then solve From there

Question 1 of 10
Which of the following is most likely the next step in the series?

Answers

Answer:

The second one.

Step-by-step explanation:

The pattern is red with 0 arrows, blue with 1 arrow, red with 2 arrows, so it would be blue with 3 arrows.

Rules of solving equations
The ______________ must be alone or ______________ on one side of the equation.
Isolate the variable by using ______________or opposite operations.
The equation must remain ______________.

Answers

Answer:

The variable must be alone or isolated on one side of the equation.

Isolate the variable by using inverse or opposite operations.

The equation must remain balanced.

Explanation:

Let me just make sure!

I’ll give Brinley stars if I get help

A flying squirrel lives in a nest that is 12 feet up in a tree, but wants to
eat an acorn that is on the ground 9 feet away from the base of his tree.
If the flying squirrel glides from his nest to the acorn, then scurries back
to the base of the tree, and then climbs back up the tree to his nest,
how far will the flying squirrel travel in total?

Answers

It’s the Pythagorean theorem which is a squared+b squared =c squared it works with right triangles to find missing sides. You have a=12 and b=9, so 12^2 is 144 and 9^2 is 81. 81+144=225. The square root of 225 is 15 and that’s your answer

1 2/3 + (-2/5)
What is the answer

Answers

Answer:

1 4/15

Step-by-step explanation:

(4x - 6)
(2x)
Find the value of x

Answers

Answer:

1.5

Step-by-step explanation:

(4x - 6) (2x)

= 8x^2 - 12x

8x^2 = 12x

8x = 12

2x = 3

x = 1.5

Which phrase is the same as 5+w?

Answers

Answer:

5+w

Step-by-step explanation:

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Consider the sequence 100, 50, 25,12.5 ... Can it arithmetic? Can it be geometric? why?

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Consider the sequence 100, 50, 25,12.5 ...
Can it arithmetic? Can it be geometric? why?