how many three digits number are divisible by 3
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Step-by-step explanation:
300 3-digit numbers divisible by 3. so there is an A.P. whose common difference is 3 and where the first number (i.e. a=102) and the n number is 999. ⟹ n = 300 , thus there are 300 three digit number s which are divisible by 3…
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n=?
a=102
an=999
d=3
an=a+(n-1)d
999=102+(n-1)3
999-102=(n-1)3
897=(n-1)3
897/3=(n-1)
299=(n-1)
299+1=n
n=300.
hence 300 three digit numbers are divisible by 3.
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