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CAT 2006 | Question: 62

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Consider the set $\text{S} = \{1, 2, 3, \dots, 1000\}.$ How many arithmetic progressions can be formed from the elements of $\text{S}$ that start with $1$ and with $1000$ and have at least $3$ elements?

  1. $3$
  2. $4$
  3. $6$
  4. $7$
  5. $8$
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