Answer: 1/20
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Step-by-step explanation:
The denominators 2, 4, 6, ... are in an arithmetic progression
- first term = 2
- common difference = 2
We have the multiples of 2.
- first denominator = 1*2 = 2
- second denominator = 2*2 = 4
- third denominator = 3*2 = 6
And so on.
The tenth denominator is 10*2 = 20
Therefore, the tenth term of the harmonic progression is 1/20
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Side note:
An arithmetic progression is of the form
A harmonic progression is of the form
I.e. take the reciprocal of the arithmetic sequence to get the harmonic sequence, or vice versa.