Sequence and Series

This topic covers concepts such as Sequences and Series, Sequences, Real Sequences, Finite and Infinite Sequences, Series, Progression, Difference between Sequences and Progressions, nth Term of a Progression, Types of Progressions etc.

This topic covers concepts such as Arithmetic Progression (A.P.), Common Difference of an A.P., nth Term of an A.P., Sum of First n Terms of an A.P, Properties of A.P., Arithmetic Mean (A.M.) of Two Numbers, Arithmetic Mean (A.M.) of n Numbers, etc.

This topic covers concepts such as Geometric Progression (G.P.), Common Ratio of a G.P., nth Term of a G.P., Sum of First n Terms of a G.P, Sum of Infinite Terms of a G.P, Properties of G.P., Geometric Means (G.M.) of Two Numbers, etc.

This topic covers concepts such as Harmonic Progression (H.P.), nth Term of an H.P., Properties of H.P., Harmonic Mean (H.M.) of Two Numbers, Harmonic Mean (H.M.) of n Numbers, n- Harmonic Means between Two Numbers, etc.

This topic covers concepts such as Relation between A.M., G.M. and H.M., AM-GM-HM Inequality, Relationship between Arithmetic Mean and Geometric Mean of Two Numbers, Arithmetic Mean of mth Power Inequality, etc.

This topic covers concepts such as Arithmetico-Geometric Progression, nth Term of an A.G.P., Sum of First n Terms of an A.G.P, and Sum of Infinite Terms of an A.G.P.

This topic covers concepts such as Sum to n terms of a Series, Properties of Sigma Notation, Sum to n Terms of Special Series, Sum of First n Natural Numbers, Sum of Squares of First n Natural Numbers, Sum of Cubes of First n Natural Numbers, etc.