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If the average of 15 consecutive numbers is 15 what are the numbers?
Wiki User
∙ 12y ago
The numbers are 8 to 22 (inclusive).
It immediately springs to mind that if 15 is the average then the numbers will start at 15 - 7 (8) and finish at 15 + 7 (22), but let's prove this!
We know that 15 is the average of 15 numbers. We can therefore work out what the 15 consecutive numbers add up to. We can then use algebra to calculate these numbers.
The numbers total 15 * 15 = 225
Therefore, where x is equal to the lowest number in the series:
x + (x+1) + (x+2) + (x+3)...etc all the way up to + (x+14) = 225
Therefore:
15x + 105 = 225
15x = 225 - 105
15x = 120
x = 8.
Wiki User
∙ 12y ago
Anonymous
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What is the meaning of consecutive numbers?
Consecutive numbers are numbers which are next to each other, such as 1, 2, and 3, or 15 and 16.
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.
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Defining "consecutive" as "following continuously in unbroken or logical sequence," it is possible to have many different types of consecutive things: consecutive days, months, odd numbers, even numbers, etc. The list you have is consecutive, they are consecutive multiples of ten.
What is fifteen consecutive numbers with 15 as their average?
600
Are the numbers 11 and 13 and 15 consecutive?
You could say these are consecutive ODD numbers.
If there are three consecutive numbers of 45 what are the three consecutive numbers?
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What is the meaning of consecutive numbers?
Consecutive numbers are numbers which are next to each other, such as 1, 2, and 3, or 15 and 16.
15 is between the consecutive whole numbers?
Consecutive means following one another. E and F are consecutive, as are Tuesday and Wednesday and 100 and 101. The number 15 is NOT between any consecutive whole numbers. However, it is between the whole numbers 14 and 16 --- which of course are not consecutive.
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.
Are the numbers 11 15 13 consecutive?
Not in that order. They are consecutive odd integers in this order: 11 13 15.
The product of two consecutive numbers is 210 What are the numbers?
They are 14 and 15.
What are two consecutive numbers with a sum of 29?
The numbers are 14 and 15.
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The numbers are 15 and 16.
What Two consecutive numbers with product 210?
The numbers are 14 and 15.
