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How many three digit natural numbers are divisible by 5 - Algebra

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How many three digit natural numbers are divisible by 5?

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Solution

The first three digit natural number divisible by 5 is 100.
Common difference d = 5
Last three digit natural number divisible by 5 is 995
We know that,

tn = a + (n -1) d
995 = 100 + (n -1) 5
895 = 5 (n -1)
179 = n -1
 n =180
Hence, there are 180 three digit natural numbers divisible by 5.

Concept: Introduction to Sequence
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