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Strictly speaking you are not subtracting 4 consecutive numbers because the first two (+1 and -2) are not consecutive.
The result is easy to see algebraically.
Suppose you start with x.
Then you are calculating x - (x+1) - (x+2) - (x+3).
That is, x - x-1 - x-2 - x-3 which simplifies to -2x - 6.
Then taking the common factor, -2, out, you get -2*(x+3)
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Why is it that when you subtract four consecutive numbers the answer is always double the highest number but in minus?
Clarify. Subtract four consecutive numbers ... from what? It appears you mean something like: 22 - 21 - 20 - 19 And the answer is NOT -44. It is -38 ... negative double of the LOWEST number. If this is what you mean, then you have discovered another rule of mathematics. It will always work. 1001 - 1000 - 999 - 998 = -1996 Exactly the negative double of 998
What if you double a triangular number?
You get a sequence of doubled triangular numbers. This sequence can also be represented by Un = n*(n + 1), [products of pairs of consecutive integers]
I think of a number subtract ten and double the result. the answer is forty-four. what is my number?
Oh, dude, let's break this down. So, if you subtract 10 from 44, you get 34. Then if you double 34, you get 68, not 44. So, your number is not playing by the rules here. It's off doing its own thing, probably hanging out with other rebellious numbers.
Three consecutive positive even numbers are such that thrice the first number exceeds double the third by 2 the number is?
a x 3 = ((a + 4) x 2) + 2 ie 3a = 2a + 8 + 2 so a = 10 and other numbers are 12 & 14.
Find three consecutive even integers whose sum is -42?
Three consecutive even numbers can be expressed as (x) + (x + 2) + (x + 4), where x is the least of the three numbers. If these three add to 42 then it can be said that: (x) + (x + 2) + (x + 4) = 42 This leads to: 3x + 6 = 42, which results in 3x = 36. So x = 12. This means that numbers are 12, 12+2, and 12+4. The answer is 12, 14, and 16. To double check, 12 + 14 + 16 = 42.n+(n+2)+(n+4)=423n+6=423n=36n=1212, 14, 16
