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JEE Advanced Mathematics question

MathematicsSequence and SeriesJEE Advanced

Three positive numbers form a GP. If the middle number is increased by 8, the three numbers form an AP. If the last number is also increased by 64 along with the previous increase in the middle number, the resulting numbers form a GP again. Then

Answer: (A),(D)

Solution

Let the numbers be (). - AP: . …(i) - GP: . …(ii)

Dividing (i) by (ii): or

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Question ID VK-107885