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Q: Three consecutive whole numbers are such that the square of the middle number is greater than the product of the other two by 1 Find the middle number?
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How do you find 4 consecutive numbers that have the product of 83156160?

The four numbers are 94, 95, 96, 97. The geometric mean of four consecutive (whole) numbers is going to be in the middle of the four (quite close to their arithmetic mean which is half way between the middle two numbers). The geometric mean of n numbers is the nth root of the numbers multiplied together. Here there are 4 (consecutive whole) numbers multiplied together to give 83156160, so the geometric mean of them will be the 4th root of 83156160 which will be in the middle of them. 4√83156160 ≈ 95.5 So the 4 numbers are 94, 95, 96, 97.


What is the product of 15 consecutive integers whose average is7?

I think the answer is zero. The only 15 consecutive integers whose average is 7 are the integers 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14. For any odd number of consecutive integers the average will be equal to the middle number, and this is the only group of 15 consecutive integers with 7 as the middle number. The product of any group of numbers that includes 0 will always be 0 because 0 times anything is 0.


What is always the sum of three consecutive whole numbers?

The sum of 3 consecutive whole numbers is always equal to 3 times the middle number in that sequence.


The sum of 3 consecutive numbers is 51 what is the smallest of the 3 number?

If the numbers are consecutive then the middle number must be one-third of 51. The numbers are thus 16, 17 and 18.


How do you find the sum of the three consecutive numbers?

Their sum is three times the middle number.


Why is 3 consecutive numbers added together the same as the number in the middle times 3?

6


Three consecutive numbers that add up to a multiple of three?

EVERY three consecutive numbers add to a multiple of 3: Proof: numbers are n, n + 1 and n + 2. The total is 3n + 3 or 3(n + 1) This means that for any three consecutive numbers, the total is 3 times the middle number.


What are three consecutive numbers whose sum is 57?

Since 57/3 = 19, we know that the middle number has to be 19. The other numbers will be the numbers contiguous to 19. Therefore, the three consecutive numbers which add up to 57 are: 18 + 19 + 20 = 57


What consecutive whole numbers have a total of 66 and a range of 3?

If the range is three, then there are four whole numbers involved. The average value of these numbers is 66/4 = 16.5. Because the numbers are consecutive - evenly distributed - 16.5 is actually 'in the middle' of the four. From which we can infer that the numbers in question are 15,16,17 and 18.


How do you find three consecutive numbers whose sum is 72?

Divide 72 by 3, this equals 24. This is the middle of the three numbers, so the answer is 23, 24 and 25. This works with finding any odd amount of consecutive numbers that sum up to another number.


What is the sum of three consecutive whole numbers?

The sum of three consecutive whole numbers is equal to three times the middle number. For example, if the middle number is "x", then the sum is equal to x + (x - 1) + (x + 1), which simplifies to 3x.


What three consecutive numbers add up to 333?

110, 111 and 112. The middle one must be a third of the total.