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Three quantities a, b and c are said to be in harmonic progression if,
In this case we observe that we have to consider three terms in order to conclude whether they are in harmonic progression or not.
An important proposition in this case is that the reciprocal of quantities in harmonical progression are in arithmetical progression. Let us understand this by considering three quantities a, b and c. By definition, if a, b and c are in harmonic progression then they satisfy the condition that
By cross multiplying, we obtain
a(b - c) = c(a - b)
That is, ab - ac = ac - bc
Dividing each of these terms by abc, we have
This can be written as
Canceling the common terms, we have
This gives us the common difference between the reciprocal terms of a, b and c. This also proves our proposition.
a company declares a semu annual dividend on 5%.a man has 400 shares of the company.if his annual income from the share is rs 1000 find the face value of each share?
These can be expressed in terms of two fundamental operations of addition and multiplication. If a, b and c are any three real numbers, then; 1.
E - L - P - S : Has the title of this section stumped you? Children, similarly, don't understand new symbols that are thrust upon them without giving them an adequate grounding. Y
I don''t get it .... Help
Bob is 2 years from being double as old as Ellen. The sum of twice Bob's age and three times Ellen's age is 66. How old is Ellen? Let x = Ellen's age and let y = Bob's age. Sin
i just have one question i need help on for my geometry homework
An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 5.72 cents per kilowatt-hour to its base charge of $16.35 per month
what is the answer
the figure is a rectangle with angle y=60. Find angle x
steps to trace the cartesian curve
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