sums on harmonic progression

Harmonic Progression (H.P.) - A sequence of numbers is said to form a harmonic progression if their reciprocals form an arithmetic progression..

A sequence of numbers is said to form a harmonic progression if their reciprocals form an arithmetic progression..

A sequence of numbers is said to form a harmonic progression if their reciprocals form an arithmetic progression..

Let a=first term, d = common difference, l=t n =last term, s = required sum. Then, Writing the series in the reverse order, Adding together the two series, ..

The simplest type of wave is the one in which the particles of the medium are set into simple harmonic vibrations as the wave passes through it. The wave is then called a simple harmonic wav..

The simplest type of wave is the one in which the particles of the medium are set into simple harmonic vibrations as the wave passes through it. The wave is then called a simple harmonic wave. Consider a particle O in the medium. The displacement at any instant of time is given ..

If three quantities are in harmonic progression, then the middle quantity is called the harmonic mean between the other tw..

Harmonic Mean (H.M.) - If three quantities are in harmonic progression, then the middle quantity is called the harmonic mean between the other two. Example: 1/3, 1/7, 1/11 are in H.P., then 1/7 is the middle term. Hence 1/7 is the harmonic mean betw..

If three quantities are in harmonic progression, then the middle quantity is called the harmonic mean between the other two. Example: 1/3, 1/7, 1/11 are in H.P., then 1/7 is the middle term. Hence 1/7 is the harmonic mean between 1/3 and 1/1..

The sum of n terms of an Arithmetic Progression, S n , is given by the formula S n = n 2 ( a + l ), where a is the first term and l is the last term of the A.P. Find the first term of the A.P. if its last term is 10, and the sum of 5 terms is 40. => 0 or 5 or 7 or 6..