Consecutive numbers are those which lie as closely as possible to each other on the number line.
Odd numbers are those numbers which cannot be evenly divided by 2.
Examples of consecutive odd numbers:
1, 3
5, 7, 9
225, 227
Another methodAn odd number, N, can be produced by plugging any non-negative integer into the following equation (in place of x):
N = 2x+1
Giving consecutive values for x will also produce consecutive odd numbers:
x = 1 -> N = 3
x = 2 -> N = 5
x = 3 -> N = 7
etc.
Chat with our AI personalities
Impossible.
The two numbers can be thought of as: Smaller Odd Number = x + 1 (Add one to ensure it is an odd number) Larger Consecutive Odd Number = Smaller Number + 2 = x + 1 + 2 = x + 3 We know that Smaller Odd Number + Larger Consecutive Odd Number = 100 (X + 1) + (x + 3) = 100 2x + 4 = 100 2x = 96 x = 48 Smaller Odd Number = 48 + 1 = 49 The smaller odd number is 49. The next consecutive odd number of course is 51.
The sum of any three consecutive odd integers is going to give an odd result. It is impossible for the sum of an odd number of odd integers to equal an even number.
is an even number
The sum of two odd numbers is even and the sum of an even number and an odd number is odd.So the sum of three consecutive odd numbers is odd but 270 is even.Ergo there are no three consecutive odd numbers that sum to 270.Three consecutive numbers that sum to 270 are 89, 90, 91.Three consecutive even numbers that sum to 270 are 88, 90, 92.