Mathematical Game

[aminooo]

Hey, this game requires some nice knowledge of mathematics.
It's pretty simple, someone starts by posting an equation, a sequence, or even a number.
The next one should guess it, then he posts an another one, and going on.

I'll start :p

1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597…

[cheatking]

Fibonacci

[(3x^2-27)/4)]*[ 8x^2)/(9-3x)]/[(x^2+3x)/6]

[Lavos]

dont ask me why, but after 30 mins of looking at this I thought this was fucking genius! Nice work Mr.Sean

[cheatking]

Has my question conquered the game?

[Devogen]

@Mr.:

> Fibonacci
>
> [(3x^2-27)/4)]*[ 8x^2)/(9-3x)]/[(x^2+3x)/6]

(3x^2-27)(8x^2) 6
4(9-3x) (x^2+3x)
(3(x-3)(x+3)(8x^2) 6
-12(x-3) x (x+3)

=-12x

[cheatking]

@Devo:

> (3x^2-27)(8x^2) 6
> 4(9-3x) (x^2+3x)
> (3(x-3)(x+3)(8x^2) 6
> -12(x-3) x (x+3)
>
> =-12x

You didn't post a question. :o

[aminooo]

@Mr.:

> You didn't post a question. :o

Yeah devo, you're supposed to post something.
I'll post this one:

4,16,37,58,89,145,42,20

search well :)

[Magdreamer]

Are we supposed to find the pattern?

[aminooo]

Yeah, or solve an equation, or even guess what number it is.

[Yxxe]

@aminooo:

> Yeah devo, you're supposed to post something.
> I'll post this one:
>
> 4,16,37,58,89,145,42,20
>
> search well :)

Sad numbers? lololo

[aminooo]

@Lightning:

> Sad numbers? lololo

Be more specific. :)

[Vigur]

@aminooo:

> Yeah devo, you're supposed to post something.
> I'll post this one:
>
> 4,16,37,58,89,145,42,20
>
> search well :)

Sum of the square of each previous digit,
    4                16                        37
( 4  )        ( 1        6 )          ( 3        7 )
  4^2 = 16, 1^2 + 6^2 = 37, 3^2 + 7^2 = 58, etc

An interesting thing to note is that if you continue with the sequence it repeats itself after 20.
–-----------------------------------------------------------------------------------------

Geometric thinking:
Why does this work? (Works for all squares).

**4^2** = 16; 16 + 4 + 5 = 25 = **5^2.**
**13^2** = 169; 169 + 13 + 14 = 196 = **14^2.**
**14^2** = 196; 196 + 14 + 15 + 15 + 16 = 256 = **16^2.**

[Godlord]

4² + 4 + 5 = 4.4 + 4 + 5 = 5.4 + 5 = 5.5 = 5².
13² + 13 + 14 = 13.13 + 13 + 14 = 14.13 + 14 = 14.14 = 14².
n² + n + (n + 1) = (n + 1).n + (n + 1) = (n + 1)(n + 1) = (n + 1)2
etc.

Solve this quaternionic equation: x = sqrt{-1}.

Regards,
  Stephan.

[aminooo]

@Vigur:

> Sum of the square of each previous digit,
>     4                16                        37
> ( 4  )        ( 1        6 )          ( 3        7 )
>   4^2 = 16, 1^2 + 6^2 = 37, 3^2 + 7^2 = 58, etc
>
> An interesting thing to note is that if you continue with the sequence it repeats itself after 20.
> –-----------------------------------------------------------------------------------------
>
> Geometric thinking:
> Why does this work? (Works for all squares).
>
> **4^2** = 16; 16 + 4 + 5 = 25 = **5^2.**
> **13^2** = 169; 169 + 13 + 14 = 196 = **14^2.**
> **14^2** = 196; 196 + 14 + 15 + 15 + 16 = 256 = **16^2.**

Interesting way to answer it, however it's a sad numbers cycle that repeats itself :

Let's take 3 by example ->
3² = 9, 9² = 81, 8² + 1² = 65, 6² + 5² = 61, 6²+1²= 37 (the cycle starts) , 3² + 7² = 58, 5²+8²= 89… and so it goes.

@Stephan:

> 4² + 4 + 5 = 4.4 + 4 + 5 = 5.4 + 5 = 5.5 = 5².
> 13² + 13 + 14 = 13.13 + 13 + 14 = 14.13 + 14 = 14.14 = 14².
> n² + n + (n + 1) = (n + 1).n + (n + 1) = (n + 1)(n + 1) = (n + 1)2
> etc.
>
> Solve this quaternionic equation: x = sqrt{-1}.
>
> Regards,
>   Stephan.

I think you just conquered the game. xD

[Drummerpete]

@Stephan:

> Solve this quaternionic equation: x = sqrt{-1}.

x = i

9x - 7i > 3(3x-7u)

[Godlord]

@Bob:

> x = i

That's only one solution, try again.

Regards,
  Stephan.

[SidneyHarrington]

Math games are great for 2 reasons
1) They make math seem like a "fun," worthwhile endeavor.
2) They can do the drill and kill for basic math facts, which is what
students need most in early grades.

[gdog12356]

@SidneyHarrington:

> Math games are great for 2 reasons
> 1) They make math seem like a "fun," worthwhile endeavor.
> 2) They can do the drill and kill for basic math facts, which is what
> students need most in early grades.

3\. help people learn about matth

[Drummerpete]

@torch:

> solution:
>
> 9x - 7i > 3(3x-7u)
>
> = 9x - 7i > 9x - 21u
> = ~~9x~~ (~~9x~~ - 7i > ~~~~9x~~~~ - 21u) ~~9x~~
> = (- 7i > - 21u) divide by their LCD which is -7
> = i > 3u  –---> ANSWER

Should be
i <3 u

;D

[Godlord]

@torch:

> = (- 7i > - 21u) divide by their LCD which is -7
> = i > 3u  –---> ANSWER

Your maths are extremely flawed, probably due American education: when multiplying or dividing by a negative number, they either swap positions or you change the operator.

Regards,
  Stephan.

[river00]

I'll put in the question since no one put in one.

A trough is 12 feet long and 3 feet across the top (see figure). Its ends are isoceles triangles with altitudes of 3 feet.

a. If water is being pumped into the trough at 2 cubic feet per minute, how fast is the water level rising when it is 1 foot deep?

b. If the water level is rising at a rate of 3/8 inch per minute when h = 2, determine the rate at which water is being pumped into the trough.