general term for fractional index

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 = 2..

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..

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 Snell's law after..

Question: For 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 The three terms form an A.P. Next three terms are 15 + 4 = 1..

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 ..

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..

Introduction - 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..

Most ores generally occur deep inside the Earth. Some may occur only a few metres under the earth's surface. 'Mining' is the process of taking out the ores from the mines. When an ore occurs near the surface of the Earth, it can be directly dug out. Such mining is termed as ope..

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..

The general form of the trinomial is (x 2 + cx + d) where c and d have different numerical values: c = a + b, and d = ab. In the given trinomial expression if all terms are positive, then both the factors are positive. If the middle term is negative,..