Harmonic progression

Harmonic Progression

Harmonic progression is obtained by taking the reciprocal of an arithmetic progression’s terms. A harmonic progression has the following terms: 1/a, 1/(a + d), 1/(a + 2d), 1/(a + 3d), 1/(a + 4d),… 1/(a + (n – 1)d). We can compute the nth term, the sum of n harmonic progression terms, similarly to the arithmetic […]

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Class 11, Harmonic progression, IIT JEE, Maths, Sequences and Series

Harmonic Progression

Harmonic progression is obtained by taking the reciprocal of an arithmetic progression’s terms. A harmonic progression has the following terms: 1/a, 1/(a + d), 1/(a + 2d), 1/(a + 3d), 1/(a + 4d),… 1/(a + (n – 1)d). We can compute the nth term, the sum of n harmonic progression terms, similarly to the arithmetic

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Class 11, Harmonic progression, IIT JEE, Maths, Sequences and Series

Fibonacci Numbers Lines

Fibonacci numbers are said to be of great importance in the fields of biology and physics. It is because these numbers are very helpful in the observation of objects and the phenomenon that is associated with those objects. The branching of data or information acts as a suitable example of the Fibonacci series, and it

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Class 11, Harmonic progression, IIT JEE, Maths, Sequences and Series

Arithmetic mean, Geometric Mean and Harmonic Mean

Arithmetic mean, geometric mean, and harmonic mean are all measures of central tendency. If all the observations of the series are the constant ‘K’, the mean will also be ‘K’. The same property applies for all the means be it arithmetic mean, geometric mean or harmonic mean. If the deviation in the series is taken

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Class 11, Harmonic progression, IIT JEE, Maths, Sequences and Series