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Re: The number of multiples of 3 between 102 and 729, inclusive [#permalink]
I would take a small example to answer this.

3-9.

3-9 have 3 multiples of 3

9-3 / 3 = 2

So multiples inclusive of numbers will be 1 value greater than range by the number.

This is valid for any range. Hence the answer
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Re: The number of multiples of 3 between 102 and 729, inclusive [#permalink]
This is an evenly spaced set so it is an arithmetic series also.
Now the nth term in the arithmetic series is given by:
an = a1 + (n-1)d
where n is the total no of terms in the series and d is the difference between the two consecutive terms.
We have an=729, a1=102 and d=3 as they are the multiples of 3.
So plugging in the values we get
729 = 102 + (n-1)3
After simplifying we get the A=B+1
So A is the answer.
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Re: The number of multiples of 3 between 102 and 729, inclusive [#permalink]
Hello from the GRE Prep Club BumpBot!

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Re: The number of multiples of 3 between 102 and 729, inclusive [#permalink]
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