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Why is it that when you subtract four consecutive numbers they equal double the highest number but in minus. eg 1 - 2 - 3 - 4 equals -8 4 plus 4 equals 8 equals -8?
Wiki User
∙ 10y ago
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)
Wiki User
∙ 10y ago
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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]
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
When you subtract two negatives what do you get back?
A double minus becomes a plus as for example -2--5 = 3 but -2-5 = -7
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 two numbers have a gcf of 2?
There are infinitely many pair of numbers. Take any two numbers that are coprime. Double both of them. Their GCF is 2.
What numbers do you get when you add consecutive even numbers?
Leaving aside 2, you will get so-called singly even numbers, those which are divisible by 2 but not by 4. (e.g. 2 + 4 = 6) The sum of consecutive even integers (n) + (n+2) is 2n +2, which is double the intervening odd number (n+1).
What English word has three consecutive double letters?
The English word with three consecutive double letters is "bookkeeper."
What word has 3 consecutive double letters in it?
The English word BOOKKEEPING or BOOKKEEPER has three sets of consecutive double letters. SUBBOOKKEEPER is the only word with four sets of consecutive double letters, although these words should be hyphenated.
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]
What is a near double?
"Near doubles" are 2 consecutive numbers. For example: 2 and 3, 7 and 8, 11 and 12. Therefore, 4 + 5 are near doubles.
What is a consecutive double letter word for pirate?
buccanneer
What English word 3 consecutive double letters?
bookkeeper
What is the english word which has four consecutive double letters?
committee
How does this work Pick a number any number add 17 double it subtract 4 double it add 20 divide by 4 and subtract 20 You end up with your original answer. How?
Start with n, then you get; Add 17: n + 17 Double it: 2n + 34 Subtract 4: 2n + 30 Double it: 4n + 60 Add 20: 4n + 80 Divide by 4: n + 20 Subtract 20: n which is where you started.
What happens when you add together a pair of consecutive numbers?
You get a number that's equal to their sum. The sum is an odd number that's greater than either of them, one greater than double the smaller one, and one less than double the bigger one.
