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Math game...

Okay... I got the answer figured out. It's a little more complicated than for number series starting with 1, but not much.

The TOG​
 
I'm guessing the same function used twice using 1 to the lowest number minus 1 and then the lowest number to the highest number and subtracting the first ?
I'm not sure if this will simplify into a smaller form gotta get to work.
 
agua. said:
I'm guessing the same function used twice using 1 to the lowest number minus 1 and then the lowest number to the highest number and subtracting the first ?
I'm not sure if this will simplify into a smaller form gotta get to work.
Click to expand...

I'm not sure I understand what you mean. Do you mean that to calculate, say, the sum of the numbers 10 to 15 you would first calculate 1 to 10 and then 1 to 15 and subtract the first result from the second? You could do it that way, but there is a way to do it without calculating twice.

The TOG​
 
Yeah that was a bit of a jumble. Don't do math when in a hurry :D

Ok so if I take 10 to 15 using the same formula we get (10+15)/2 * 5 = 62.5. angon that's not right what went wrong. hmmm n = 6 not 5 :D ( (10,11,12,13,14,15)

so (10+15)/2 * 6 = 75 n = 15-10 +1 the lowest number becomes like 0 and not 1 ?
 
I'm not sure how zero figures into it, since this is supposed to work for all series, regardless of where they start, but the formula works. But it looks like the opposite of the formula I had figured out and it took me a while to figure out why. For a series from X to Y, your formula is...

(X+Y) / 2 * (X - Y + 1)

But my formula was...

(Y - X + 1) / 2 * (X + Y)

Either formula works.

The TOG​
 
TOG said:
I'm not sure how zero figures into it, since this is supposed to work for all series, regardless of where they start, but the formula works. But it looks like the opposite of the formula I had figured out and it took me a while to figure out why. For a series from X to Y, your formula is...

(X+Y) / 2 * (X - Y + 1)

But my formula was...

(Y - X + 1) / 2 * (X + Y)

Either formula works.

The TOG​
Click to expand...

Yeah. What I mean is if we start at 1 say for summing 1 to 15 we have 15 numbers in the sequence and this is intuitive with the largest number. If we do 10 to 15 intuitively I think aha 5 numbers in the sequence ( 15 - 10 ) when it's really 6 ( 10 being the zero point). Well it made sense to me :D

Cool your formula works even starting from 1.
 
agua. said:
Yeah. What I mean is if we start at 1 say for summing 1 to 15 we have 15 numbers in the sequence and this is intuitive with the largest number. If we do 10 to 15 intuitively I think aha 5 numbers in the sequence ( 15 - 10 ) when it's really 6 ( 10 being the zero point). Well it made sense to me :biggrin

Cool your formula works even starting from 1.
Click to expand...

So does yours. It's the same formula, just written differently. Look at how the two formulas come out if we use the series 10 to 15 and calculate what's in parentheses...

Your formula...
25 / 2 * 6

My formula...

6 / 2 * 25

It's the exact same formula, but there is a fundamental difference in the thinking behind the two. A psychiatrist could probably tell a lot about us from this.

The TOG​
 
TOG said:
So does yours. It's the same formula, just written differently. Look at how the two formulas come out if we use the series 10 to 15 and calculate what's in parentheses...

Your formula...
25 / 2 * 6

My formula...

6 / 2 * 25

It's the exact same formula, but there is a fundamental difference in the thinking behind the two. A psychiatrist could probably tell a lot about us from this.

The TOG​
Click to expand...

Yup

A man is trapped in a room with no exit with the only item in the room being a table. How does he escape ?

( off the math train into the ridiculous. :D )
 
Nope.

I must warn you this is a word play riddle ( if you can call it a riddle :D )

Ok here's a clue. What happens when you bang your head.
 
ok ok since this is very silly here's the "solution" .

First the man bangs his head on the table and his head gets sore ( saw ). He takes the saw and saws the table in half. Now 2 halves make a whole ( hole ) . He then crawls out through the hole. :D

You can't hate me remember.

Here's a real one.

finish the pairs.

1=3, 2=3, 3=5, 4=4, 5= 4, 6=3, 7= 5, 8 = ? , 9= ?
 
Ok Ok now the interesting thing about this sequence is that it relies on words as much as math :D
 
The first number of each pair always increases by 1 and is basically the number of the pair in the series. I don't see how the second number is calculated though. Also, since there's an "=" sign between each pair of numbers, all the equations are untrue. Maybe something other than "=" could be used?

The TOG​
 
TOG said:
The first number of each pair always increases by 1 and is basically the number of the pair in the series. I don't see how the second number is calculated though. Also, since there's an "=" sign between each pair of numbers, all the equations are untrue. Maybe something other than "=" could be used?

The TOG​
Click to expand...

Maybe you could consider that the "=" may compare a mathematical/number marker with an english/word marker.
 
Actually reverse that. Maybe you could consider that the "=" may compare an english/word marker with a mathematical/number marker.
 
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