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SEQUENCE AND SERIES Class -12 (Ttarmonic Proqression)

Harmonic Progression A series av av an are said to be in Harmonic progression if 1 ' asare in A.P. noGe

Harmonic Mean when three numbers are in . ., the middle number is called Harmonic mean between the two number. a P rM

Relation between AM, GM and HM A.- a ph 2ab CA

If a, b, c and d are in . ., then ab + bc + cd- a. ad c. 3ad b. 2ad d. None

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If a, b, c and d are in . ., then ab + bc + cd- a. ad c. 3ad b. 2ad d. None CA 12 12

The H.M. of two numbers is 4. If their A.M. A and G.M. G satisfy the relation 2AG2 27, then the numbers are a.2,6 c. 1, 3 b. 3, 6 d. None

The H.M. of two numbers is 4. If their A.M. A and G.M. G satisfy the relation 2AG2 27, then the numbers are a. 2, 6 c. 1, 3 b. 3, 6 d. None 4- eA 2. 12

If H be the Harmonic mean between a and b, then Hta +H+b a. 1 b.-1 c. 2 d. 2