IMO 1969 LL CZS17

Let d and p be two real numbers. Find the first term of an arith-

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IMO 1969 LL CZS17

Origin: CZS

Problem

Let d and p be two real numbers. Find the first term of an arith- metic progression a1, a2, a3, . . . with difference d such that a1a2a3a4 = p. Find the number of solutions in terms of d and p.