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How many multiples of 10 are there between 1000 and 2000, inclusive?

Let me to know the calculation process. Ans.101

Hi, and welcome to Gmat Club! Below is a solution for your problem:

\(# \ of \ multiples \ of \ x \ in \ the \ range = \frac{Last \ multiple \ of \ x \ in \ the \ range \ - \ First \ multiple \ of \ x \ in \ the \ range}{x}+1\).

For our original question we would have: \(\frac{2,000-1,000}{10}+1=101\).

In general the formula for any series where "d" is the increment or difference between two terms to find the nth term = An= A1+ (n-1)d Now we know An =2000 A1=1000 d=10 2000=1000+(n-1)10 =101

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