General term of Harmonic progression - Basic

In mathematics, a harmonic progression (or harmonic sequence) is a progression formed by taking the reciprocals of an arithmetic progression. Equivalently, a sequence is a harmonic progression when each term is the harmonic mean of the neighboring terms.

Q1.  Three consecutive terms of a progression are 30, 24, 20. The next term of the progression is

•   18
•  17 1/7
•  16
•  None of these

17 1/7

Q2.  The 5th term of the H.P., 2, 2 1/2,3 1/3 will be

•  5 1/5
•  3 1/3
•  1/10
•  10

10

Q3.  If 5th term of a H.P. is 1/45 and 11th term is 1/69 , then its 16th term will be

•   1/89
•  1/85
•  1/80
•   1/79

1/89

Q4.  If the 7th term of a H.P. is 1/10 and the 12th term is 1/25 then the 20th term is

•   1/37
•   1/41
•  1/47
•  1/49

1/49

Q5.  If 6th term of a H.P. is 1/61 and its tenth term is 105 then first term of that H.P. is

•  1/28
•  1/39
•  1/6
•  1/17

1/6

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