M CUBE: Math-e-Matics by Maheshwari HARMONIC PROGRESSION

Relationship Between Arithmetic Mean, Harmonic Mean, and Geometric Mean of Two Numbers

For two numbers x and y, let x, a, y be a sequence of three numbers. If x, a, y is an arithmetic progression then 'a' is called arithmetic mean. If x, a, y is a geometric progression then 'a' is called geometric mean. If x, a, y form a harmonic progression then 'a' is called harmonic mean. … Continue reading Relationship Between Arithmetic Mean, Harmonic Mean, and Geometric Mean of Two Numbers

M CUBE: Math-e-Matics by Maheshwari GEOMETRIC PROGRESSION

Derivation of General term, Sum of Finite and Infinite Geometric Progression

Geometric Progression, GP Geometric progression (also known as geometric sequence) is a sequence of numbers where the ratio of any two adjacent terms is constant. The constant ratio is called the common ratio, r of geometric progression. Each term therefore in geometric progression is found by multiplying the previous one by r. Eaxamples of GP: 3, … Continue reading Derivation of General term, Sum of Finite and Infinite Geometric Progression

M CUBE: Math-e-Matics by Maheshwari ARITHMETIC PROGRESSION

ARITHMETIC PROGRESSION – FORMULAS

Arithmetic Progression definition Arithmetic Progression (also called arithmetic sequence), is a sequence of numbers such that the difference between any two consecutive terms is constant. Each term therefore in an arithmetic progression will increase or decrease at a constant value called the common difference, d. Examples of arithmetic progression are: 2, 5, 8, 11,... common difference … Continue reading ARITHMETIC PROGRESSION – FORMULAS