general term for fractional index

Express the fraction 43 86 in lowest terms. => 1 3 or 1 2 or 2 3 or 1 4..

Express the fraction 36 144 in lowest terms. => 1 4 or 1 6 or 2 3 or 1 5..

Express the fraction 40 200 in lowest terms. => 1 6 or 1 7 or 1 5 or 2 3..

Write the terms for the partial fraction decomposition of 9 x 2 - 1 . => A x + 1 - B x - 1 or A x + 1 + B x 2 - 1 or A x + 1 + B x + 1 or A x + 1 + B x - 1..

The last terms in (ii) and (iii) depends upon the fact whether n is even or odd. The binomial theorem for fractional index states that General term For r 0, T r + 1 in the expansion of (1+x) n , |x|<1,n Q is given by If x be so small that its squ..

The distance traveled by a wave in one second is termed as its velocity, it is generally denoted by the letter 'c..

Thus we can define refractive index in terms of the speed of light in the two media. The refractive index of glass with respect to air is given by the relation. In general, if a ray of light is passing from medium 1 to medium 2, then If the medium 1 is air or..

i) The series formed by the reciprocals of the terms of a geometric series is also a geometric series. ii) There is no general method of finding the sum of a harmonic progressi..

Question: For the given sequence, suggest possible next three terms and find the general term. -3, 1, 5,---- Answer: First term = -3, Common difference = 1-(-3) = 4 = 5 - 1 Next three terms are 5 + 4 = 9, 9 + 4 = 13, 13 + 4 = 17 Gen..

Find the general terms T r + 1 in the expansion of (1+x) n..