Did you know that whenever you count or number items you are using Consecutive Integers?
In fact, whenever you count by ones from any number in a set you obtain Consecutive Integers.
In this lesson we are going to build upon our knowledge of translating words into symbols and learn how to write an expression or equation to represent a relationship of Consecutive Integers, Consecutive Even Integers or Consecutive Odd Integers.
Remember, consecutive means following continuously or an unbroken sequence.
Formula for Consecutive Even or Odd Integers
So that means that Consecutive Integers follow a sequence where each number is one more than the previous number.
But what happens if we want to find Consecutive Odd or Consecutive Even Integers?
Ok, so let’s say we started from 3 and wanted to find the next odd number.
Well, we would correctly say that the next odd number after 3 is 5.
And what if we started at 6 and we were asked to find the next even number.
Again, we would rightly say the number is 8.
What do you notice?
5 is two more than 3 and 8 is two more than 6.
Wow!
That means…
…that all Consecutive Odd Integers and Consecutive Even Integers are always two more than the previous number, as Online Math Learning accurately states.
The trick to solving these types of word problems is to know how to represent odd or even consecutive numbers in symbol form, and then apply this to finding sums or products of Consecutive Numbers.
Together we will successfully translate sentences that represent Consecutive Integers and apply them to such questions as finding age of siblings, height and perimeter problems.
Consecutive Integers – Video
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