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Can anyone explain me cyclicity. I want to get ready for next session

 
Can anyone explain me cyclicity. I want to get ready for next session
 

Grade:10

1 Answers

Komal
askIITians Faculty 747 Points
8 years ago
The concept of cyclicity is used to identify the last digit of the number which is in the form of power like pk. Let’s take an example to understand this:Example 1 : find the unit digit of 356.
Solution : Now it’s a big term so we cannot find the last digit by doing 3 x 3 x 3 x 3 x 3……. 56 times so we use the concept of cyclicity

Step 1 : 31 = 3
32 = 9
33 = 27
34 = 81
35 = 243
So now pay attention to the last digits we saw that the last digit repeats itself after a cycle of 4 and the cycle is 3 ,9,7,1,this is called the cyclicity of any number ,therefore when we need to find the unit digit of any number like 3n we just need to find the number on which the cycle of last digit ends . And in the next step we will divide the power with the cyclicity

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