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Arithmetic progression and common difference

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September 29, 2010
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Problem Statement

(CZS6)(CZS 6) Let dd and pp be two real numbers. Find the first term of an arithmetic progression a1,a2,a3,⋯a_1, a_2, a_3, \cdots with difference dd such that a1a2a3a4=p.a_1a_2a_3a_4 = p. Find the number of solutions in terms of dd and p.p.
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