Geometry Help!?

Question

Describe a pattern in the sequence of numbers. Predict the next number.
2, 6, 18, 54,...

0, 1, 4, 9,...

256, 64, 16, 4,...

3, 0, -3, 0, 3, 0,...

7.0, 7.5, 8.0, 8.5,...

13, 7, 1, -5,...

Want to recieve best answer? 5 Stars to the the first person who gives the FULL ANSWER and the person who gets them ALL CORRECT (or the most correct if noone gets them all.) I will give out the best Answer award tommorow. Please explain if you can how you obtained the answer. Thank You.

Answer 1

162
16
1
-3
9.0
-11

Answer 2

2, 6, 18, 54

A1 = 2 * 3^(1 - 1) = 2 * 3^(0) = 2 * 1 = 2
A2 = 2 * 3^(2 - 1) = 2 * 3^1 = 2 * 3 = 6
A3 = 2 * 3^(3 - 1) = 2 * 3^2 = 2 * 9 = 18
A4 = 2 * 3^(4 - 1) = 2 * 3^3 = 2 * 27 = 54

An = 2 * 3^(n - 1)

A(5) = 2 * 3^(5 - 1) = 2 * 3^(4) = 2 * 81 = 162

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

0,1,4,9

An = (n - 1)^2

A1 = (1 - 1)^2 = 0^2 = 0
A2 = (2 - 1)^2 = 1^2 = 1
A3 = (3 - 1)^2 = 2^2 = 4
A4 = (4 - 1)^2 = 3^2 = 9

A5 = (5 - 1)^2 = 4^2 = 16

ANS : 16

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

An = 256 * 4^(-(n - 1))
An = 256 * (1/4)^(n - 1)
An = 256/(4^(n - 1))

A1 = 256/(4^(1 - 1)) = 256/(4^0) = 256/1 = 256
A2 = 256/(4^(2 - 1)) = 256/(4^1) = 256/4 = 64
A3 = 256/(4^(3 - 1)) = 256/(4^2) = 256/16 = 16
A4 = 256/(4^(4 - 1)) = 256/(4^3) = 256/64 = 4

A5 = 256/(4^(5 - 1)) = 256/(4^4) = 256/256 = 1

ANS : 1

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

3,0,-3,0,3,0

ANS : -3

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

7.0, 7.5, 8.0, 8.5

An = 7 + (1/2)(n - 1)

A1 = 7 + (1/2)(1 - 1) = 7 + (1/2)(0) = 7 + 0 = 7
A2 = 7 + (1/2)(2 - 1) = 7 + (1/2)(1) = 7 + (1/2) = 7.5
A3 = 7 + (1/2)(3 - 1) = 7 + (1/2)(2) = 7 + 1 = 8
A4 = 7 + (1/2)(4 - 1) = 7 + (1/2)(3) = 7 + 1.5 = 8.5

A5 = 7 + (1/2)(5 - 1) = 7 + (1/2)(4) = 7 + 2 = 9

ANS : 9

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

An = 13 + (-6)(n - 1)
An = 13 - 6(n - 1)

A1 = 13 - 6(1 - 1) = 13 - 6(0) = 13 - 0 = 13
A2 = 13 - 6(2 - 1) = 13 - 6(1) = 13 - 6 = 7
A3 = 13 - 6(3 - 1) = 13 - 6(2) = 13 - 12 = 1
A4 = 13 - 6(4 - 1) = 13 - 6(3) = 13 - 18 = -5

A5 = 13 - 6(5 - 1) = 13 - 6(4) = 13 - 24 = -11

ANS : -11

Answer 3

1. 2 multiplied by 3 equals 6, x 3 =18, x 3 = 54, x 3 = 162 (the
next number in the sequence). Every number is being
multiplied by 3.

2. The 0 has 1 (an odd number) added to it. After, 3 (the next
odd number) is added to the previous 1 to get 4. After that, 5
(the next odd number) was added to the 4 to get 9. So, the
pattern is: +1, +3, +5, +7...the added number increases by 2
every time. So, the 9 gets 7 added to it to get
16, the next number in the sequence.

3. The 256 is divided by 4 to get the next number in the
sequence, 64. 64 is then divided by 4 to get 16, which is
divided by 4 to get 4, which is divided by 4 to get the next
number in the sequence, 1. Every number is being divided
by 4.

4. 3 is subtracted from the 3 to get 0. Then, another 3 is
subtracted from the 0 to get -3. Then, 3 was added to the
negative 3 to get 0, and another 3 was added to get positive
3. Then, another 3 was subtracted from the 3 to get 0, so
the pattern repeats again. Another 3 will be subtracted from
the 0 to get -3, the next number in the sequence.

5. This one is particularly easy. 0.5 was added to the 7.5 to get
8.0, right? Every number is simply getting 0.5 added to it.
7.5 + 0.5 = 8.0 8.0 + 0.5 = 8.5, and so on. Therefore, 8.5
+ 0.5 = 9.0, the next number in the sequence.

6. This one is the second-easiest one. You are simply
subtracting 6 from a number in that sequence. 13 - 6 = 7, -
6 = 1, - 6 = -5. So, negative 5 minus positive 6 equals
negative 11.

Answer 4

2, 6, 18, 54, 162, 486 (multiply each succeeding number by 3)
0, 1, 4, 9, 16, 25 (start from zero and square each number)
256, 64, 16, 4, 1, .25 (divide each succeeding number by 4)
3, 0, -3, 0, 3, 0, -3, 0, 3 (subtract 3, subtract 3, add 3, add 3, subtract 3...)
7.0, 7.5, 8.0, 8.5, 9.0 (add .5 to each succeeding number)
13, 7, 1, -5, -11, -17 (subtract 6 from each succeeding number)

Answer 5

2, 6, 18, 54, ..... 162 Its just each number x3
0, 1, 4, 9, ... 16 It went +1 +3 +5 +7 +9 +11 +13 etc
256, 64, 16, 4, ... 1 It was the each number/4
3, 0, -3, 0, 3, 0, ... -3 Just... logic?
7.0, 7.5, 8.0, 8.5, ... 9.0 Just plus .5 each time
13, 7, 1, -5, ... -11 Subtract six each time.

Answer 6

The answer to the first question is 162 because 54x3=162.The answer to the second question is 16 because your adding the next odd number to 9(seven is the odd number becauseit goes 1,3,5,7). The answer to the third question is 1024 because 256x4=1024.. The answer to the fourth question is -3 because it goes ..3,0,3,0,3,0 and then it goes -3,+3,-3,+3. Th answer to the fifth question is 9.0 because your adding .5 to each of them and the answer to the last one is -11 because it goes subtract 5 subtract 6 and so for. I know this is your homework, so you think you can give me the best answer award right now.

Answer 7

first one: multiply the previous by 3. so next would be 54*3 = 162
second one: add the next odd number (1, 3, 5) to the previous. so next would be 9+7 = 16
third one: divide by 4: 4/4 = 1
fourth one is like a sine function. next one is -3
fifth one: add .5 to previous. next one is 8.5 + .5 = 9.0
sixth one: subtract 6 each time. next one is -5 - 6 = -11

Answer 8

surely, the only element that i will locate in common with sacred geometry and alchemy is they the two handle kinds of spirituality. Sacred geometry deals with using geometric types and shapes interior the layout and shape of church homes, temples, mosques or everywhere of religious accumulating. those particular shapes advise particular issues, reckoning on the religion or perception device. case in point, the pentagram in Christianity refers back to the 5 senses. In Catholicism, it may each and every so often consult with the devil, or the Evil One. Alchemy deals with the technique of turning metals into gold, using chemical compounds and technological awareness. even however, Alchemy is likewise a perception to find the final know-how with the aid of chemistry. as a result, alchemy is a spirituality all its own. All in all, the only element that i will see in common between the two is they the two handle a variety, or types, of spirituality.

Answer 9

1st. 108 2x3=6x3=18x3=54
2nd.16 +1 +3 +5
3rd.1 ÷4
4th-3 its a pattern
5th.9 +.5
6th. -11 -6, -6, -6

Answer 10

The First one is everything is timed by 3.....2*3=6
6*3=18 and so on....O and please give me point things..i just stared so i need them

the third one is divide by 4
the fith on is going up .5 each time
and thats all i no

sry.

Answer 11

patten is an=(a(n-1)*3

2.n^2 where n is E W

3.

4.an=7+(n-1)*0.5

5.an=13+(n-1)(-6)