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Let the positive numbers a, b, c, d be in A.P. Then the type of progression for the numbers abc, abd, acd, bcd is:

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Let the positive numbers a, b, c, d be in A.P. Then the type of progression for the numbers abc, abd, acd, bcd is:

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a, b, c, d are in A.P.

a/abcd, b/abcd, c/abcd, d/abcd, are also in A.P.

1/bcd, 1/acd, 1/abd, 1/abc  are also in A.P. 

Hence their reciprocals are in H.P.

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