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How many three-digit natural numbers are divisible by 9?

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How many three-digit natural numbers are divisible by 9?

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The three-digit natural numbers divisible by 9 are 108, 117, 126 ,….. 999.

Clearly, these number are in AP.

Here. a = 108 and d = 117 - 108 = 9

Let this AP contains n terms then,

Hence, there are 100 three-digit numbers divisible by 9.

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