Question

How do we know that there 25 numbers between 1 to 100 in form of 4k?

Answer 1

★ THEORY OF NUMBERS ★

Consider the multiples of 4 , which will obviously reside in the format of 4K , where k is any positive integral constant ,

4 ( k ) should reside multiples until we attain 100

4 ( 25 ) = 100

k = 25

means , we can conclude 25 positive integers after which it's maximum extents goes to 100

k = 1 , 2 , 3 , 4 , ... 25

0 < k ≤ 25

Is the range definition of the above system of numbers , Hence , we can conclude that there are 25 integral number between 1 to 100 in the form of 4k for k ∈ ( 0 , 25 ]

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