sum of nth powers

Power of a Lens - Whenever a ray of light passes through a lens (except when it passes through the optical center) it bends. The bending of light rays towards the principal axis is called convergence and bending of light rays away from the principal axis is called divergence. The degree o..

1. To find the sum of first n natural numbers. 2. To find the sum to squares of first n natural numbers. 3. To find the sum to the cubes of first n natural numbers. 4. Method of finding sum of a series whose nth term is know..

If K is not a perfect nth power of any number, then is called a surd of the n t h order. A surd is always an irrational numbe..

Surd - If K is not a perfect nth power of any number, then is called a surd of the n t h order. e.g., is a surd of the third order. is a surd of the second order. A surd is always an irrational numb..

Summary - A rational number is a number of the form where p and q are integers and . Problems involving rational numbers are simplified using 'BODMAS' rule. A rational number can be represented in the decimal form. When a rational number is represented as a decimal, it will be either a terminating ..

. The wavelengths absorbed appear as dark lines or bands on a bright background. According to Kirchhoff's law an element can absorb only those wavelengths from continuous light, which it emits at the same temperature. This law was used to study structure of the Sun when Fraunhoffer explained existe..

>When the resistances are connected in parallel the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances. The amount of heat generated in a conductor of resistance 'R', when current 'I' flows through it in a given time 't', is given ..

When the coefficient of the highest power is 1. i.e., ax 2 bx c, when a = 1 and b and c are integers. When two binomials are multiplied the product is a trinomial. Thus (x + 4) (x + 5) = x 2 + 9x + 20 (1) (x - 4) (x - 5) = x 2 - 9x + 20 (2) In this chapter we try to express ..

.e., for an object O placed at a distance u from it, the image I must be formed at a distance v. Such a lens is called an equivalent lens and its focal length is called the equivalent focal length. Writing the lens equation in this case, we get Comparing equations (iii) and (iv) we get Hence, when ..

Conclusion - The rate of a reaction is measured in terms of change in concentration of a reactant or a product with time. Rate of a reaction is measured by following the concentration changes either by chemical analysis or by observing some other property such as color and optical rotation. The rat..