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Math Problems!........share It Here!


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Here's another Math lovers:

 

 

In a finite set of integers from 1 to 50,000,000, the following six integers share two characteristics that no other integer in the set share:

 

1 36 1225 41616 1413721 48024900

 

 

What are those two characteristics?

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thx ~_^

 

back tayo sa bagong problem, kinakalawang na talaga ako hanggang basic MATH lang ako wala kasing higher sa course ko. sana meron din dito mga circuit problem design/analysis or about pneumatics and hydraulics para may ma share ako.

 

 

Here's another Math lovers:

In a finite set of integers from 1 to 50,000,000, the following six integers share two characteristics that no other integer in the set share:

 

1  36  1225  41616  1413721  48024900

What are those two characteristics?

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  • 2 weeks later...
  • 2 weeks later...

heres a simple math magic... if u wanna get the phone number of someone else with a beatiful effect.. try this math magic:

 

1. ask someone to put the first 3 digit of their phone nunber sa calculator.

2. multiply by 80.

3. add 1.

4. multiply by 250.

5. add the next 4 digit of their phone number.

6. add it again.

7. subtract 250.

8. get the calculator from your victim, secretly divide the answer by 2.... POOOF!!! the total will be her/his phone number... :P

 

 

meron ba magic forum sa mtc? let me know nman baka meron... ty!!!

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well they are each perfect squares:

1^2, 6^2, 35^2, 204^2, 1189^2, and 6930^2

 

i suppose it is fair to assume that is the first characteristic.

 

the numbers are also fairly distributed among the set.. which contain over 7000 perfect squares in all..

 

taking the successive differences of the set, we get:

1, 5, 29, 169, 985, and 5741

 

because i'm such a nerd i know that these five numbers are pythagorean numbers with consecutive integers for legs:

1^2 = 0^2 + 1^2

5^2 = 3^2 + 4^2

29^2 = 20^2 + 21^2

169^2 = 119^2+ 120^2

985^2 = 696^2 + 697^2

5741^2 = 4059^2 +4060^2

 

And so whatever the second property is it must be linked to that..

 

 

The numbers in the series are PERFECT SQUARES and TRIANGLE NUMBERS as well.

 

Going past the limit, the next number with the same two characteristics is 1631432881. :cool:

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well they are each perfect squares:

1^2, 6^2, 35^2, 204^2, 1189^2, and 6930^2

 

i suppose it is fair to assume that is the first characteristic.

 

the numbers are also fairly distributed among the set.. which contain over 7000 perfect squares in all..

 

taking the successive differences of the set, we get:

1, 5, 29, 169, 985, and 5741

 

because i'm such a nerd i know that these five numbers are pythagorean numbers with consecutive integers for legs:

1^2 = 0^2 + 1^2

5^2 = 3^2 + 4^2

29^2 = 20^2 + 21^2

169^2 = 119^2+ 120^2

985^2 = 696^2 + 697^2

5741^2 = 4059^2 +4060^2

 

And so whatever the second property is it must be linked to that..

 

 

I should give this one a try hehe

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Math for Fun:

 

 

The great grand son of Einstein offered this proof that 1 = 2.

 

 

He says:

 

Assume a = b

 

1. multiply the equation by b

 

ab = bb

 

2. subtract aa from equation

 

ab - aa = bb - aa

 

3. factor difference of squares

 

ab - aa = (b-a)(b+a)

 

4. factor left handside

 

a(b-a) = (b-a)(b+a)

 

5. divide by common factor (b-a)

 

a = b+a

 

6. substitute a for b (following assumption that a = B)

 

a = a + a

 

7. simplify

 

a = 2a

 

8. divide by common factor( a )

 

1 = 2

 

 

"That was neat, but you did an illegal operation," said the great grand daughter of Da Vinci.

 

 

What was theillegal operation?

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