Let be an A.P. If the sum of its first four terms is and the sum of its last four terms is , then the product of its middle two terms is:

754 Explanation: Solution Let be the common difference of the A.P. 1. Sum of first four terms: Substitute : . 2. Sum of last four terms: The last four terms are . Substitute : . 3. Find the number of terms ( ): . 4. Find middle two terms: Since , the middle terms are the and terms. . . 5. Product of middle terms: Product .

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