What are consecutive numbers

Consecutive numbers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive numbers. Consecutive meaning in Math represents an unbroken sequence or following continuously so that consecutive numbers follow a sequence where each subsequent number is one more than the previous number.

Properties

The following are the properties of consecutive numbers:

  • The difference between any two consecutive odd or even integers is 2.
  • There will be accurately one number divisible by n in any set of n consecutive integers. For example, any four integers in a row must have a multiple of 4; any 19 integers will have one multiple of 19 and so on. Consider a set of three consecutive integers: {–1, 0, +1}, here, multiple of 3 does not exist. This is the special case when it turns out to zero. We know that when an integer is multiplied by zero, it gives zero.
  • Depending upon the set which has been started, there might be two even numbers and one odd number, or two odd numbers and one even number in a set of 3 consecutive integers. In a set of 4 consecutive integers, it is possible to have two even and two odd numbers. Depending on the starting value, if a set has an odd number of consecutive integers, there will be a chance of more evens or more odds. But if a set has an even number of consecutive integers, the even and odd integers will be in equal numbers.
  • If m is an odd number, then the total sum of m consecutive integers will be divisible by m. For example, for any five integers in a row, the sum is divisible by 5., etc.,

Check out the video given below to know more about number patterns

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