JEE Advanced 2010 Mathematics question

MathematicsSequence and SeriesJEE Advanced 2010

Let be real numbers satisfying , and for . If , then the value of is equal to

Answer: 0

Solution

, so the terms form an A.P. with and common difference d: . Sum of squares: . So $ + 1650d + 1485 = 0 ⇒

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Question ID VK-025846