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JEE Main 2013 Mathematics question

MathematicsSequence and SeriesJEE Main 2013

Given a sequence of 4 numbers, first three of which are in G.P. and the last three are in A.P. with common difference six. If first and last terms of this sequence are equal, then the last term is :

Answer: (2)

Solution

Let the numbers be a, b, c, d with b, c, d in A.P. of common difference 6: c = b + 6, d = b + 12. G.P.: . Also d = a, so $a =

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Question ID VK-104228