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JEE Main Mathematics question

MathematicsSequence and SeriesJEE Main

Consider an arithmetic series and a geometric series having four initial terms from the set . If the last terms of these series are the maximum possible four digit numbers, then the number of common terms in these two series is equal to

Answer: 3

Solution

The AP is (difference ) and the GP is (ratio ), using all seven numbers; the AP's last four-digit term is and the GP's last is

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Question ID VK-022190