five most important numbers

Some important results - Given a, b, c and d are non-zero real numbers, we can deduce other proportions by simple Algebra. These results are often referred by the names mentioned along each of the properties obtained. (1) If then bc = ad This property is known as INVERTENDO. (2)..

Important results in proportions are: Invertendo, Alternendo, Componendo, Dividendo and Componendo and Dividend..

Question: When a rational number can be expressed as terminating decimal? Answer: A rational number can be expressed as terminating decimal, when the factors of its denominator are in the form 2 n x 5 ..

If a:b = 5:8. Find the value of a 2 b+ab 2 :a 3 +b 3..

Question: For given sequence, find the first four terms. Answer: ..

If (x-2) and (x-3) are factors of x 3 +ax 2 +bx+12, find a and ..

Question: Find the first five terms of the sequence defined by t n = 6 - 4n. Which term of the sequence is -50? Answer: t n = 6 - 4n When n = 1, t 1 = 6 - 4(1) = 2 When n = 2, t 2 = 6 - 4(2) = -2 When n = 3, t 3 = 6 - 4(3) = -6 When n = 4, t 4 = 6 - 4(4) = -10 When n = h..

One of the most important applications of De Moivre's theorem is to find the q t h roots of a complex number. Let z = x + iy be a complex number. Let z = r {cos q + i sin q } be its polar form. And z 1/q be the q th root of z. Through De ..

The word 'Induction' means method of reasoning from individual cases to general ones or from observed instances to unobserved ones. Many important mathematical formulae are such that a result is formed by some means which does not provide for a direct proof. Mathematical Induction ..