Mathematics

Mathematics

Problem

Let the first three terms 22, pp and qq, with q≠2q \neq 2, of a G.P. be respectively the 7th7^{\text{th}}, 8th8^{\text{th}} and 13th13^{\text{th}} terms of an A.P. If the 5th5^{\text{th}} term of the G.P. is the nthn^{\text{th}} term of the A.P., then nn is equal to

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