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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.
What percent of the figure below is shaded? Break the rectangle into eighths as shown below. The shaded part is 6/8 or 3/4; 3/4 is 75%.
The probability that a leap year will have 53 sunday is ? and how please explain it ? (a)1/7 (b) 2/7 (c) 5/7 (d)6/7 Sol) A leap year has 366 days, therefore 52 weeks i.e
A bag contains 19 tickets, numbered from 1 to 19. A ticket is drawn and then another ticket is drawn without replacement .Find the probability that both tickets will show even numb
what is limit
let setM={X,2X,4X} for any numberX .if average (arthemetic mean)of the number in setM is 14.what is the value of X?
log2(x^2)=(log2(x))2
Taxable income Tax rate 0 - $18,200 0% $18,201- $37,000 19% $37,001 - $80,000 32.5% $80,001- $180,000 37% $180,001 and over 45% if this is graphed as a step fuction graph whats t
i dont understand what my teacher disccussing thats why i want to learn for this lesson. i want to ask'' what is the variables?
how to get the answer
Binormal Vector - Three Dimensional Space Next, is the binormal vector. The binormal vector is illustrated to be, B → (t) = T → (t) * N → (t) Since the binormal vecto
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