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when a pattern shows counting on by ten

For example, we assume a pattern counting by 10

10,20,30,40......

If we count by 10 , then the difference between two terms is 10

Counting by 10 means common difference should be  10

In that example , 10,20,30,40......

20 -10 = 10

30 - 20 = 10

40 - 10 = 10

We can see that the common difference is 10




fichoh

To deduce of a pattern or number sequence shows counting on by 10, we calculate the common difference of the sequence of numbers

  • The common difference is the difference between two successive values in a sequence. Hence, if a sequence gives a common difference of 10, then the pattern shows counting on by 10.

  • Commom difference, d = n2 - n1

Using an hypothetical sequence ; 10,20,30,40,50,60

The common difference = d2 - d1 = d3 - d2

Common difference = 20 - 10 = 30 - 20 = 10

Since, the common difference of the sequence is 10, then the pattern shows counting on by 10.

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