The concept of sequence and series is one of the most fundamental concepts in Arithmetic. When it comes to numbers, sequences are the grouped arrangement of numbers that is done in an orderly manner according to some specified principles, whereas a series is the sum of the parts in the sequence. Examples of sequences with […]
Difference between a Sequence and a Series Read More »
Class 11, IIT JEE, Maths, Sequences and Series, Sum to n terms of seriesThe more you study for IIT JEE Mains, the better the chances are that you will score high. Out of all the subjects, Math is one such subject which requires rigorous practice, a deep understanding of every concept, and most importantly, regular study. To help you in your preparation journey and make the ride smoother,
Sum up to n Terms of Special Series; Sn, Sn1, Sn2, Sn3 Read More »
Class 11, IIT JEE, Maths, Sequences and Series, Sum to n terms of seriesThe sum of an infinite number of terms can be represented using the sigma notation, which is written as a Greek upper case letter. The value of the letter sigma in the Greek numeral system is two hundred. In general mathematics, the letter with an uppercase capitalization (∑) is used as an operator of the
Sigma and Pi Notations Read More »
Class 11, IIT JEE, Maths, Sequences and Series, Sum to n terms of seriesIn mathematics, a series can be defined as the process of adding an endless number of numbers or quantities to a specific starting number or amount over and over again. Series are used in many fields of mathematics, including the study of finite structures, such as combinatorics, which is used in the formation of functions.
The average of the collection of values present in any set is referred to as the mean. It’s used in finance to compute growth rates and risk factors, in biology to calculate cell division rates, and in math to solve linear transformations. Arithmetic mean, Geometric mean, and Harmonic mean are the letters AM, GM, and
Relationship Between Arithmetic Mean, Geometric Mean and Harmonic Mean Read More »
Class 11, Harmonic progression, IIT JEE, Maths, Sequences and SeriesAP,GP and HP represents the series’ average or mean. The letters AM, GM, and HM stand for Arithmetic Mean, Geometric Mean, and Harmonic Mean, respectively. Arithmetic Progression (AP), Geometric Progression (GP), and Harmonic Progression (HP) mean AM, GM, and HM, respectively. The value of AM is greater than the value of GM and HM, which
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Class 11, Harmonic progression, IIT JEE, Maths, Sequences and SeriesWhich stream to choose after 10th? When we learn about sequences in mathematics, we come across the relationship between the letters AM, GM, and HM. These three numbers represent the average or mean of the respective series. Arithmetic Mean (AM), Geometric Mean (GM), and Harmonic Mean (HM) are all abbreviations for Arithmetic Mean. The mean
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Class 11, Harmonic progression, IIT JEE, Maths, Sequences and SeriesThe reciprocal of the terms in an arithmetic progression gives us a harmonic progression. Some of the terms of harmonic progression are 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 terms of the harmonic progression like
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Class 11, Harmonic progression, IIT JEE, Maths, Sequences and SeriesA harmonic progression is a mathematical progression that is created by multiplying an arithmetic progression by its reciprocals. A sequence is equivalent to a harmonic progression when each term is the harmonic mean of the neighbouring terms. The reciprocal of the terms of an arithmetic progression yields a harmonic progression. 1/a, 1/(a + d), 1/(a
Harmonic Sequence – Example, Formula Read More »
Class 11, Harmonic progression, IIT JEE, Maths, Sequences and SeriesA harmonic progression is a mathematical progression that is created by multiplying an arithmetic progression by its reciprocals. A sequence is equivalent to a harmonic progression when each term is the harmonic mean of the neighbouring terms. The reciprocal of the terms of an arithmetic progression yields a harmonic progression. 1/a, 1/(a + d), 1/(a
Harmonic Sequence – Example, Formula Read More »
Class 11, Harmonic progression, IIT JEE, Maths, Sequences and Series