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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.
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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.
What are the three numbers if the average of three consecutive numbers is 126?
125, 126 and 127.
The sum of three consecutive numbers integers is 99 Find the three numbers?
The numbers must average 33, so the answer is 32, 33 and 34.
Are 10 20 30 40 etc consecutive numbers?
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.
