general term for fractional index

Question 1 - Question: For the given sequence, suggest possible next three terms and find the general term. 7, 11, 15,---- Answer: First term = 7, Common Difference = 11 - 7 = 15 - 11 = 4 Next three terms are 15 + 4 = 19, 19 + 4 = 23, 23 + 4 = ..

1, 3, 5, 7..... (adding 2 to every term) 1, 4, 16, 64 (Multiplying by 4 every term) 20, 17, 14 . (add -3 to every term) The different numbers in a sequence are called terms of sequence. The subscripts denote the position of the term. In the..

Laws of Refraction - The incident ray, the refracted ray and the normal to the surface at the point of incidence all lie in one plane. For any two given pair of mediums, the ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant. The above law is called Sne..

The degree of a differential equation is the highest power of the highest order derivative after making the equation free from radicals and fractional indices as far as the derivatives are concerned. In other words, the degree of a differential equation whose terms are polynomi..

Pushes or Pulls are very general names given to forces. A physicist is much more precise when describing forces acting on a body using terms like weight, frictional force, tension, normal reaction force, electrical force, magnetic force et..

Taking in of food or eating is termed ingestion. The food taken in can be big or small particles. There may be by specialised organs such as mouth in higher animals and through the general body surface with the help of structures such as pseudopodia in lower animals. Ingestion ..

The term wild life generally gives the impression of large and ferocious animals living in the jungle or waters such as lions and tigers, crocodiles and rhinoceros. Wild life refers to any living organism in its natural habitat. It includes all plants, animals and microorganism..

Ethers are alkoxy derivatives of alkanes. These are represented by the general formula R-O-R', where R and R' are alkyl groups. Ether is termed as simple ether when R and R' are the same. If the two alkyl groups (R and R') are different, the ether is termed as a ..

Each one of the following series form an A.P. i) 1, 3, 5, 7, ii) 3, 7, 11, 15, iii) 15, 12, 9, iv) x, x - d, x - 2d, ..... The common difference is found by subtracting any term of the series from the immediate succeeding term. In the above example, common difference in th..

Two typical fractionating columns Experimental setup for fractional distillation Fig: 16.5 Fractional distillation In this technique, the design and the total length of the column are very important factors to obtain a high degree of purity of the two separated compone..