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Question

Find the number of natural numbers between 250 and 1000 which are exactly divisible by 3.

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Solution

Clearly the numbers between 250 and 1000 which are divisible by 3 are 252,255,258,...999.

Tn=999=a+[n1]d

999=252+[n1]3

333=84+n1

n=33383=250


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