Question

The sum of the consecutive integers from (-30) to 200 is u . What is the sum of the consecutive integers from (-200) to 32?

Answer 1

Answer:

Step-by-step explanation:

That is impossible.

Consecutive numbers are natural numbers and so they are whole numbers. You cannot sum 3 consecutive numbers to get 200. The closest you can accomplish this would be a sum that would result in 198, or 201.

Just the same, let the three numbers be x, x+1, and x+2. So:

x+x+1+x+2=198

3x+3 -3=198 -3

3x=195, so x=65, x+1=66, x+2=67

So 65+66+67=198

Now try to force it.

If you add 1 more, you get

65+66+68=199

Add 1 more, and you get

65+67+68=200

Now if you add 1 more to make 65 into 66, you will have three consecutive numbers, but the sum will not be 200. The reason that it cannot work is because three consecutive numbers will always sum to a multiple of 3, and 200 cannot be divided evenly by 3.

So there is no valid answer that will satisfy this question