Identify next three numbers in this sequence: 2, 8, 4, 16, 12

Answers

Answer 1
The next three numbers are 48, 44, 176
Answer 2

Answer:

2, 8, 4, 16, 12, 30, 26, 50

Step-by-step explanation:

The first is determinate the different ([tex]d[/tex]) between each consecutive value ([tex]a_n - a_{n-1}[/tex]).

[tex]8 - 2 = 6\\4 - 8 = -4\\16 - 4 = 12\\12 - 16 = -4\\[/tex]

How you can see when the position of the number in the sequence is odd you have to sum a number [tex]6x[/tex] and when the position of the number in the sequence is a even number you have to substract -4.

Why [tex]6x[/tex]? If you see the first two odd position numbers in the sequence are multiples of 6, then we made the deduction that each time that you sum a number this is a multiply of 6 and -4 is constant for each position even number.

Then for each odd position number in the sequence it's representation is of the form:

[tex]a_{n-1} + 6x = a_n[/tex]

Where [tex]a_{n-1}[/tex] is the number of before, [tex]x[/tex] the odd position of the number in the sequence and [tex]a_n[/tex] is the current value of [tex]a_n[/tex]

So the rest of the sequence is of the next form:

[tex]12 + 6(3) = 30[/tex]

[tex]30 -4 = 26[/tex]

[tex]26 + 6(4) = 50[/tex]

So the final answer is [tex]\{30, 26, 50\}[/tex]


Related Questions

what is 8 times 38 plz let me know

Answers

Answer:

304

Step-by-step explanation:

use a calculator for that.

the base of a triangle is five less than twice it’s height, if the area of the triangle is 6 cm^2, find the length of the base

Answers

Answer:

Base = 3 cm

Step-by-step explanation:

Area of a triangle =  [tex]\frac{1}{2} bh[/tex]

Let h = height

base =  2 times the height - 5; b = 2h-5

Area = 6 cm²

 A = [tex]\frac{1}{2}bh[/tex]

[tex]6 =\frac{1}{2}(2h - 5)(h)[/tex]             Multiply 2h(h) -5(h)

[tex]6 (2) = 2(\frac{1}{2})(2h^{2} - 5h[/tex]      Multiply both sides by 2 to remove the fraction

 12 = 2h²- 5h

2h ² -  5h  - 12 = 0                Set the equation = 0 and factor  

(2h + 3)(h - 4) = 0

2h + 3 = 0    or h - 4 = 0

2h = -3               h = 4

h = -3/2        or   h = 4        Answer can not be negative so h = 4cm

The base is 2(4) - 5; The base = 8 - 5; base = 3 cm

helpppp


simplify √5 × √3

Answers

Answer:

√15

Step-by-step explanation:

When you multiply surds:

multiply the numbers inside the square roots i.e. √(5 × 3) = √15simplify if possible (not possible in this case)

Hope this helps!

Divide.
123 : 5
remainder

Answers

123 / 5

100 / 5 = 20

20 / 5 = 4

3 = remainder

123/5
100/5=20
20/5=4
3=remainder

calculate the compound interest on 10,000 for 6months at 2% per annum compounded quaterly

Answers

Answer:

Step-by-step explanation:

What is the base of the expression 6^-4?

Answers

Answer:For this case we have that by definition it is fulfilled:

Where:

a: It is the base

b: It is the exponent

So, if we have the following expression:

-6 to the power of 4, is equivalent to:  

So we have to:

-6: It is the base

4: It is the exponent

-6: It is the base

4: It is the exponent

Step-by-step explanation:

Find the length of each side of the parking lot, in metersTop: |-80| + |___| = ___ + 50 = ___mBottom: |___| + |50| = 80 + ___ + 50 = ___mLeft: |50| + |___| = ___ + 20 = ___mRight: |___| + |-20| = 50 +___ = ___m

Answers

Answer:

Step-by-step explanation:

go ahed and try im confuesd

Answers

Answer:

a and c and e

Step-by-step explanation:

Answer: I believe its proportional

Step-by-step explanation:

can yall help me plzz

Answers

Answer:

x = 8

Step-by-step explanation:

To get x on its own we need to divide both sides by 0.6: 4.8 ÷ 0.6 which is 8.

Hope this helps!

Conducting numerous, separate statistical analyses increases the chance that one or more of the results appear to be statistically significant, but are actually attributable to random variation or measurement error. The problem is referred to as:

Answers

A family-wise inflation of error rate is the increase in the probability that one or more results of a numerous, independently (separately) conducted statistical analyses to become statistically significant, but these results can actually be attributed to random variation or measurement error.

In Statistics, a family-wise inflation of error rate is also referred to as family-wise error rate (FWER) and it can be defined as the probability of making at least one false conclusion or type I errors in numerous, separate statistical analyses or hypothesis tests.

Hence, a family-wise inflation of error rate increases the probability that one or more of the results among groups within an independent data set to be statistically significant, especially due to random variation or measurement error.

Read more: https://brainly.com/question/22851088

a lake has an area of 63800000000 square meters.

write this area in square kilometers, correct to 2 significant figures​

Answers

Answer:

64,000 (2 s.f)

Step-by-step explanation:

1 km is 1000 metres

so, 1 km² = 1000 x 1000 m²

i.e. 1 km² = 1,000,000 m²

=> 63,800,000,000/1,000,000 = 63,800

The second significant figure is 3 --> 3000

so, to the nearest 1000 we have 64,000 (2 s.f)

Hope it help and if it is correct please give brainliest

Thank You

Thinking about the function of the flower organ, what advantage does a flowering plant have over a nonflowering plant?.

Answers

Answer: The flowering plant grows fruit, while the nonflowering plant doesn't.

Step-by-step explanation: Brainliest please

Flowering plants have reproductive organs, which is an advantage over non-flowering plant.

What are flowering plants?

A plant that produces flowers, fruit, and seeds also called angiosperm.

Given that, advantage a flowering plant have over a non-flowering plant,

Flowering plants have a reproductive advantage over gymnosperms (non-flowering) because of different adaptations, such as having flowers that allow for pollination and fruit for seed dispersal.

Hence, flowering plants have reproductive organs, which is an advantage over non-flowering plant.

For more references on flowering plants, click;

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Mrs. Collado is buying a
refrigerator that sells for $590.
After a 10% discount is taken,
6% sales tax is added to the
price. A $50 delivery charge is
added on after the tax is computed. What will be the final cost of the refrigerator?

Answers

9514 1404 393

Answer:

  $612.86

Step-by-step explanation:

The discount multiplies the price by (1 -10%) = 0.90.

The tax multiplies the price by (1 +6%) = 1.06

Then the total price with delivery charge is ...

  $590×0.90×1.06 +50 = $612.86

Answer:

612.86

Step-by-step explanation:

10% is 59 590-59=531

562.86 after tax

612.86 after delivery charge

A rectangle has a length at least four more than five times the width. If the
perimeter is at least 44 units, find the least possible width.

Answers

Answer:

width of 3 units

Step-by-step explanation:

let 'w' = width

let '4+5w' = length

P = 2l + 2w

44 = 2(4+5w) + 2w

44 = 8 + 10w + 2w

36 = 12w

w = 36/12

w = 3

1-2 what is the slope of the table

Answers

Answer:

1. the slope is 3/1 = 3

2. the y-intercept is 2

Step-by-step explanation:

hope this helps :)

PLS help me pls no links 15 points in total

Answers

Answer:

A and B are correct

Step-by-step explanation:

A)

Regular price=$24.30

Markdown=15%

Markdown Price=$24.30 * 15%

Markdown price=$3.645

Sale Price=$24.30-$3.645

Sale Price=$20.66

B)

Regular price=$66.50

Markdown=15%

Markdown price=$66.50 * 15%

Markdown price=$9.975

Sale Price=$66.50-$9.975

Sale Price=$56.53

If you need to ask any question, please let me know.

I will give 20 points

Answers

Answer:

This is like quadratic equation you just say y=1x+-2 and then you get the answer

what is the mean number of cars owned by a family? Give your answer to 1 decimal place.

Answers

Answer:

Step-by-step explanation:

total # of families=15

families that own 0 cars=2

families that own 1 cars=5

families that own 2cars=4

families that own 3 cars=3

families that own 4 cars=1

so 2+5+4+3+1=15

total# of families/ sum of cars = 15/15=1

Use the commutative property to simplify the expression. niin 3.2.10 5 O A. (10) = 6 - O B. ( - ) - 10 = 2 O c. } } -10 = 10 = 3 - O D. 10.3.3 = 4.5 = 3 PES 30 2 5​

Answers

Answer:

Step-by-step explanation:

666

2. Compare the weather on two different days using an inequality. Then see if their comparisons change by finding the absolute value of each.
Day 1: -3.5 F
Day 2: 5 F
Comparison of Day 1 and Day 2: __-3.5__ < __5___ or ___5__ > ___-3.5____
Comparison of days with absolute value: ____ < _____ or _____ > _______

WILL GIVE BRAINLIST FOR A CORRECT ANSWER

Answers

Answers:

-3.5 < 5

|-3.5| < |5|

============================================

Explanation:

Any negative number is always smaller than any positive number. So that's why -3.5 is smaller than 5 and where -3.5 < 5 comes from. It might help to set up a vertical number line. Stuff on top is larger than stuff down below.

---------

The vertical bars represent absolute value. The result of |-3.5| is 3.5 because this is the distance from -3.5 to 0 on the number line. Likewise, |5| = 5.

So that's how we get to |-3.5| < |5| which is effectively saying -3.5 is closer to zero than 5 is to zero.

The temperature in Birmingham is 5°C colder than in London ( London temperature is 6 ). What is the temperature in Birmingham ​

Answers

Answer:

1˚C

Step-by-step explanation:

First, you take 5 away from 6

5 = 5°C colder than in London

6 = The temperature in London

1ºC.     6 minus 5 equals 1.

and also that is quite easy for high school.

A grid is 10 squares high and 10 squares wide. The distance between each grid square is 3 feet. The triangular viewing area of camera is shown. The right triangle has 2 sides with lengths of 5 grid squares. The area of the triangle is 112.5 feet squared.
Alan wants to install security cameras in his store, which has dimensions of 30 feet by 30 feet. Each camera can view an area of approximately 112.5 ft2, with a viewing area shaped like a right triangle.


How many cameras will be necessary to cover the entire store?

.

If he places cameras only in the corners of the store, how much area is left uncovered?

ft2.

Answers

Answer:

1) 8

2) 450 ft^2

Step-by-step explanation:

Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.

The left over space in the store is the same amount of space as all the cameras space added together since each camera takes up half a square. That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the left over space, 450 ft^2.

1) The cameras will be necessary to cover the entire store are 8

2) The area  left uncovered is 450 ft^2

Each triangle takes half a square worth of space, so if you add up 2 triangles for 1 square that is 1/4 of the area, multiply that by 4 and you get 8 cameras.

What is the area of the triangle?

The area of the triangle is

[tex]=\frac{1}{2}\times height \times base[/tex]

The leftover space in the store is the same amount of space as all the camera's space added together since each camera takes up half a square.

That way 4 cameras(each 112.5 ft^2 each) equals 1/2 of the room which added together is 450 ft^2, the other half would be the leftover space, 450 ft^2.

1) The cameras will be necessary to cover the entire store are 8

2) The area  left uncovered is 450 ft^2

To learn more about the area of the triangle visit:

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help!?!!!???
x-14=20

Answers

Answer:

x = 34

Step-by-step explanation:

Just add 14 on both sides of the equal sign to get x = 34.

Hope this helps :)

Answer:

x = 34

Step-by-step explanation:

hope it helps a lot

that's the final answer

half the quotient of 4 and a number y

Answers

Answer:

y = 1

Step-by-step explanation:

Hello!

2x2=4 so 2 is the quotient and half of 2 is obviously 1. So you add y to that and its y = 1.

The expression of half the quotient of 4 and a number y is gotten as; ¹/₂ * 4/y

How to solve algebraic questions?

From the definition of quotients, we know that a quotient is a result obtained by dividing one quantity by another.

Thus, quotient of 4 and a number y is; 4/y

To get half of the value above, we will just multiply it by half to get;

¹/₂ * 4/y

Read more about Algebra at; https://brainly.com/question/4344214

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What’s the answer to 4(1+9x)

Answers

Answer:

36x+4

hopes this helps

Answer:

Explanation:

4 ( 1 + 9x)

4 + 36x

i think of a number times it by 2 and minus 2 my answer is nine

Answers

Answer:

5.5

Step-by-step explanation:

5.5 times 2 equals 11 minus 2 equals 9

5.5

Step-by-step explanation:

Please help me with this

Answers

Answer:

make me brainliest

Step-by-step explanation:

1: x ≤ 18/5

2: x > 4

3: x  ≤ 4

4: x < 12

5: x > 1/4

6: x ≤ 2

7: x ≤ 5

8: x > 10

9: x < 5/2

10:7/3x^2 + 4/3x + 12

11: 2 < x < 15

12:25/2 < x ≤ 45/2

HELPPPP!! question: uppose you put $150 in the bank 1 year ago. A sign at the bank reads 2% simple annual interest.



Fill in the values to complete the table.


45 points!!! help me please

Answers

Just add them then divide
I need help with the same question

Help please

What is 20000 x 0

Answers

Answer:

its 0

Step-by-step explanation:

PLEASE HELP ME I REALLY NEED HELP!!

Answers

Answer:

Yes, based on ASA or AAS

Step-by-step explanation:

Subtract the two angle values of one triangle from 180 to dictate whether the missing angle is equal to the other triangle.

180-63= 117- 45=72

The triangles are equal/congruent because two angles and a side are the same values on both triangles.

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