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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.
sin((2n+1)180)
Write down the equation of the line which passes through the points (2, -1, 3) and (1, 4, -3). Write all three forms of the equation of the line. Solution To do the above
simple predicate
Relationship between the inverse sine function and the sine function We have the given relationship among the inverse sine function and the sine function.
Q. Diffrence between Rational and Irrational Numbers? Ans. A number which is not rational is called irrational. The word "irrational" sounds not quite right...as though th
Figure shows the auto-spectral density for a signal from an accelerometer which was attached to the front body of a car directly above its front suspension while it was driven at 6
Combination A combination is a group of times whether order is not significant. For a combination to hold at any described time it must comprise of the same items however i
Function composition: The next topic that we have to discuss here is that of function composition. The composition of f(x) & g(x) is ( f o g ) ( x ) = f ( g ( x )) In other
what Is the common denominator for 1/2 and 1/4
arrange these numbers in ascending order. -5 -7 1 2 15 0 - 25
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