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Permutations And Combinations
Find all the sequences which are simultaneously in A.P. and GP.
Let the sequence be in A.P. as well as in G.P.Let be three consecutive terms of an A.P.
∴ or ...(i)Let r be the common ratio of G.P.
∴ Hence, all the constant sequences are the only sequences which are in A.P. as well as in G.P.