JEE Main Mathematics question
Consider the following statements: 1. If term of HP is and the term is , then the term is . 2. If are in AP and are in GP, then are in HP. 3. If any odd number of quantities are in AP, then first middle and last are in AP. Which of the statement given above is/are correct?
Answer: (D)
Solution
(1) The reciprocals form an AP with and first term , so the term of the HP is ; for it is : true. (2) From and we get ; then , so
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