Solution: Since a,b,c are in AP, we know 2b = a+c (a + 2b - c) = a+a+c-c = 2a (substitute 2b = a+c) (2b + c - a) = a+c+c-a = 2c (a + 2b +... View Article
Solution: nth term of AP, an = a+(n-1)d a12 = a+(12-1)d = a+11d a22 = a+(22-1)d = a+21d Given sum of 12th and 22nd term is 100. So a12+a22... View Article
Solution: Given AP 2,5,8,11.. First term, a = 2 Common difference, d = 5-2 = 3 Sum of n terms = (n/2)(2a+(n-1)d) = (n/2)(4+(n-1) 3 Sum of... View Article
The sum of the first n terms of the series 1/2 + 3/4 + 7/8 + 15/16 + .......is equal to (1) 22n -n-1 (2) 1-2-n (3) n+2-n-1 (4) 2n+1 Solution:... View Article
An object that is moving under the absolute control of gravity is a free falling object. Any object that is only acted on by the force of gravity... View Article
Enthalpy is a term used in science and engineering where it is required to quantify heat and function. At constant strain, as a material varies,... View Article
Corrosion is when a refined metal, such as its oxide, hydroxide or sulphide state, is spontaneously converted to a more solid form, which... View Article
Hybridization is characterised as the concept of mixing two atomic orbitals to give a degenerated new form of orbitals with the same energy... View Article
The Periodic Table's s-block components are those of which the last electron reaches the outermost s-orbital. The elements in Group 1 of the... View Article
Joseph John ('J.J.') Thomson carried out experiments with beams of negative particles in Britain, leading to his conclusion in 1897 that they... View Article
Exceptionally strong and elastic, nylon fibres are thicker than polyester fibres. The fibres have exceptional strength, resistance to abrasion,... View Article
A tertiary carbocation is more stable within the carbocations than a secondary one that is more stable than a primary one in exchange. So the... View Article
The smallest unit of matter that retains all of an element's chemical properties is an atom. The fundamental unit of all matter is the atom. The... View Article
A current in the wire would be caused if a coil of wire is put in a shifting magnetic field. Therefore a shifting magnetic field in a coil of... View Article
In the periodic table, f-block chemical elements such as Cerium, Gadolinium, and Lutetium contain one 5D orbital electron with atomic numbers 58,... View Article