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JEE Main Mathematics question

MathematicsSequence and SeriesJEE Main

The first term of an arithmetic progression is and the sum of the first nine terms equal to . The first and the ninth term of a geometric progression coincide with the first and the ninth term of the arithmetic progression. If the seventh term of the geometric progression is , then the value of is

Answer: 3

Solution

gives , so the ninth term of the AP is . For the GP with first term and ninth term : , so

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Question ID VK-021768