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JEE Main Mathematics question

MathematicsSequence and SeriesJEE Main

Consider the following statements: 1. If denotes the term of an AP, then . 2. In an AP, if the sum of terms is equal to the sum of terms, then the sum of terms is always zero. 3. The sum to infinity of the series is . Which of the statements given above is/are correct?

Answer: (D)

Solution

(1) for an AP (the terms are symmetric about ), so it is true. (2) with gives , so

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Question ID VK-021662