What am I doing wrong?

Agnishom · 2014-02-25 05:15:51

Question wrote:

The sum of n, 2n , 3n terms of an A.P are s1 , s2 and s3 respectively . Prove that s3=3(s2-s1)

(%i1) s(n) := (2*a + (n-1)*d)*(n/2)$

(%i2) is(s(3*n) = 3*(s(2*n)-s(n)));
(%o2)                                false

It seems what we are being told in the question itself is wrong.

How do you do the same with M?

Agnishom · 2014-02-25 05:34:32

OK Guys,

this works

(%i21) is(equal(s(3*n),3*(s(2*n)-s(n))));
(%o21)                               true

bobbym · 2014-02-25 05:37:23

That statement is true.

Agnishom · 2014-02-25 05:46:55

How do you check it with M?

bobbym · 2014-02-25 05:47:47

In M talk:

arithsum[n_,a1_,d_]:=(n/2)(2a1+(n-1)d);
s1 = arithsum[n, a1, d]
s2 = arithsum[2 n, a1, d]
s3 = arithsum[3 n, a1, d]
FullSimplify[s3 == 3 (s2 - s1)]

M knows the true false status of many things.

Agnishom · 2014-02-25 06:04:01

What does the FullSimplify command do?

bobbym · 2014-02-25 06:09:25

That is the extreme command given to M who will then try to simplify the expression or boolean statement using all the known laws of algebra and many others.

There is Simplify, Expand, Together, Apart, PowerExpand, FunctionExpand, TrigExpand and many more. These use different rules to try to simplify an expression.

Agnishom · 2014-02-25 06:09:40

bobbym wrote:

M knows the true false status of many things.

Why doesn't the following commands work then?

Boole[my kitchen bigger than bobbym's]
Boole[fermat's last theorem is true]
Boole[urns are better than boxes]

bobbym · 2014-02-25 06:13:59

For the same reason they do not work in any programming paradigm.

M knows what every working mathematician knows and can deduce a heck of a lot more at higher speeds and greater accuracy. It can thus discover new things and many journal articles and the formula site were written by M's discoveries. But it can not answer questions that it has no information about.

Agnishom · 2014-02-25 06:17:54

Okay but I really wanted to know how big your kitchen is.

http://pastebin.com/e9ahjjn9 <- This is a proof that can be done by hand

bobbym · 2014-02-25 06:22:32

My kitchen is small. I have a small apartment in the seedy side of town. Yes, it is a ghetto.

Of course you can do it by hand in M too and most of the time I use M to assist me.

The power of brain, M and G is so great that it answered a question that a whole bunch of bloated mathematicians can not answer. This is why I stress it. Without it, I would not be here.

Agnishom · 2014-02-25 06:26:58

It is of course true that real life problems cannot be solved without computers. But using a Computer to do trivial problems will make the brain dependent on it.

Confucius wrote:

Do not use a canon to kill a mosquito.

bobbym · 2014-02-25 06:29:39

Yes, but there is an enlightening article by T. Grey and many by DZ. They stress using the package and then go golfing. These men are not idiots, they are geniuses. We can at least give their opinions some thought, perhaps even a try and see what happens.

Agnishom · 2014-02-25 06:33:11

Link?

bobbym · 2014-02-25 06:36:12

I do not have them at hand but will look for the Grey article. I do not think you are ready for the DZ opinions so they will come later. Mind you though, you already know a lot of them from me.

Bob · 2014-02-25 06:50:24

Agnishom wrote:

Confucius wrote:
Do not use a canon to kill a mosquito.

Did he really say this? Unlikely I think.

Dictionary.com wrote:

canon
noun
1.
an ecclesiastical rule or law enacted by a council or other competent authority and, in the Roman Catholic Church, approved by the pope.

Wiki wrote:

The earliest developments of the gun barrel and the projectile-fire cannon were found in late Song China
and
The Song Dynasty was a ruling dynasty in China between 960 and 1279
and
Confucius (551479 BC) was a Chinese teacher, editor, politician, and philosopher .

I rest my case.

Bob

bobbym · 2014-02-25 06:56:36

You are right! The correct quote is "get a bigger hammer."

Agnishom · 2014-02-25 07:06:04

bob bundy wrote:

Agnishom wrote:
Confucius wrote:
Do not use a canon to kill a mosquito.
Did he really say this? Unlikely I think.
Dictionary.com wrote:
canon
noun
1.
an ecclesiastical rule or law enacted by a council or other competent authority and, in the Roman Catholic Church, approved by the pope.
Wiki wrote:
The earliest developments of the gun barrel and the projectile-fire cannon were found in late Song China
and
The Song Dynasty was a ruling dynasty in China between 960 and 1279
and
Confucius (551479 BC) was a Chinese teacher, editor, politician, and philosopher .
I rest my case.
Bob

Sorry, the correct expression is

bobbym wrote:

Confucius wrote:
Do not use a canon to kill a mosquito.

Bob · 2014-02-25 07:06:51

Cannot find a bigger hammer but this guy is a big Hammer.

http://www.whufc.com/articles/20140220/ … 84_3678044

bobbym · 2014-02-25 07:10:03

Looks like David Icke.

They do attribute that quote to Confucius.

Agnishom · 2014-02-25 20:31:46

In[1]:= arithsum[n_, a1_, d_] := (n/2) (2 a1 + (n - 1) d);

In[2]:= s1 = arithsum[n, a1, d]

Out[2]= 1/2 (2 a1 + d (-1 + n)) n

In[3]:= s2 = arithsum[2 n, a1, d]

Out[3]= n (2 a1 + d (-1 + 2 n))

In[4]:= s3 = arithsum[3 n, a1, d]

Out[4]= 3/2 n (2 a1 + d (-1 + 3 n))

In[5]:= FullSimplify[s3 == 3 (s2 - s1)]

Out[5]= True

bobbym · 2014-02-25 20:46:41

That is okay, what is the problem?

Agnishom · 2014-02-25 21:18:53

Not any

bobbym · 2014-02-25 21:21:53

Mathematician uses brain.

Programmer uses computer.

Experimental mathematician uses both.

Math Is Fun Forum

#1 2014-02-25 05:15:51

What am I doing wrong?

#2 2014-02-25 05:34:32

Re: What am I doing wrong?

#3 2014-02-25 05:37:23

Re: What am I doing wrong?

#4 2014-02-25 05:46:55

Re: What am I doing wrong?

#5 2014-02-25 05:47:47

Re: What am I doing wrong?

#6 2014-02-25 06:04:01

Re: What am I doing wrong?

#7 2014-02-25 06:09:25

Re: What am I doing wrong?

#8 2014-02-25 06:09:40

Re: What am I doing wrong?

#9 2014-02-25 06:13:59

Re: What am I doing wrong?

#10 2014-02-25 06:17:54

Re: What am I doing wrong?

#11 2014-02-25 06:22:32

Re: What am I doing wrong?

#12 2014-02-25 06:26:58

Re: What am I doing wrong?

#13 2014-02-25 06:29:39

Re: What am I doing wrong?

#14 2014-02-25 06:33:11

Re: What am I doing wrong?

#15 2014-02-25 06:36:12

Re: What am I doing wrong?

#16 2014-02-25 06:50:24

Re: What am I doing wrong?

#17 2014-02-25 06:56:36

Re: What am I doing wrong?

#18 2014-02-25 07:06:04

Re: What am I doing wrong?

#19 2014-02-25 07:06:51

Re: What am I doing wrong?

#20 2014-02-25 07:10:03

Re: What am I doing wrong?

#21 2014-02-25 20:31:46

Re: What am I doing wrong?

#22 2014-02-25 20:46:41

Re: What am I doing wrong?

#23 2014-02-25 21:18:53

Re: What am I doing wrong?

#24 2014-02-25 21:21:53

Re: What am I doing wrong?

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