Calculus II - Binomial Series Paul's Online Math Notes

Calculus II - Binomial Series Paul's Online Math Notes

Binomial Theorem Task cards with HW,  Quiz, Study Guides, bundled with my Binomial Theorem and Pascal's Triangle Posters (or Handouts).  Great for Algebra or PreCalculus.  This bundle of resources and activities is a great addition to the unit containing the Binomial Theorem and Pascals Triangle, usually Sequences and Series.

Binomial Theorem Task cards with HW, Quiz, Study Guides, bundled with my Binomial Theorem and Pascal's Triangle Posters (or Handouts). Great for Algebra or PreCalculus. This bundle of resources and activities is a great addition to the unit containing the Binomial Theorem and Pascals Triangle, usually Sequences and Series.

Binomial Theorem and Binomial Series : Output.to from Sideway

Binomial Theorem and Binomial Series : Output.to from Sideway

The Nickzom Empire: Nickzom Solves Binomial Series Problems With Steps...

The Nickzom Empire: Nickzom Solves Binomial Series Problems With Steps...

The sums of the reciprocals of the binomial coefficients over successive diagonals in Pascal’s triangle converge into beautiful patterns, apart from the first and second diagonal (which lead to the series 1 + 1 + 1 + 1 + … and the harmonic series, respectively).  A proof of the identity can be found on cut-the-knot.org.

The sums of the reciprocals of the binomial coefficients over successive diagonals in Pascal’s triangle converge into beautiful patterns, apart from the first and second diagonal (which lead to the series 1 + 1 + 1 + 1 + … and the harmonic series, respectively). A proof of the identity can be found on cut-the-knot.org.

C34 Tutorials - Edexcel International A Level (IAL)  Rational Expressions Rational Expressions – Simplifying  Partial Fractions     Functions Working with Functions  Graph Transformations and Asymptotes  Trigonometric Graphs and Transformations  Modulus Functions, Equations and Inequalities     Sequences and Series Binomial Expansion     Trigonometry Sec θ, Cosec θ and Cot θ  Inverse trigonometric functions  Identities & Equations – Pythagorean Type  Identities

C34 Tutorials - Edexcel International A Level (IAL) Rational Expressions Rational Expressions – Simplifying Partial Fractions Functions Working with Functions Graph Transformations and Asymptotes Trigonometric Graphs and Transformations Modulus Functions, Equations and Inequalities Sequences and Series Binomial Expansion Trigonometry Sec θ, Cosec θ and Cot θ Inverse trigonometric functions Identities & Equations – Pythagorean Type Identities

Media: watercolor on Saunders Waterford watercolor paper (300g) Size: 4"x6" Bird Name: Red-Headed Tit or Black-Throated Tit  Binomial Name: Aegithalos Concinnus  Others in the Series: &nb...

Media: watercolor on Saunders Waterford watercolor paper (300g) Size: 4"x6" Bird Name: Red-Headed Tit or Black-Throated Tit Binomial Name: Aegithalos Concinnus Others in the Series: &nb...

Three series had been derived by the author, using double-integration in polar co-ordinates, binomial expansion and β & γ-functions for determining the volume, surface-area & perimeter of elliptical-section of oblique frustum of a right circular cone. All these three series are in form of discrete summation of infinite terms which converge into finite values hence these were also named as HCR’s convergence series.

Three series had been derived by the author, using double-integration in polar co-ordinates, binomial expansion and β & γ-functions for determining the volume, surface-area & perimeter of elliptical-section of oblique frustum of a right circular cone. All these three series are in form of discrete summation of infinite terms which converge into finite values hence these were also named as HCR’s convergence series.

The sums of the reciprocals of the binomial coefficients over successive diagonals in Pascal’s triangle converge into beautiful patterns, apart from the first and second diagonal (which lead to the series 1 + 1 + 1 + 1 + … and the harmonic series, respectively).  A proof of the identity can be found on cut-the-knot.org.

The sums of the reciprocals of the binomial coefficients over successive diagonals in Pascal’s triangle converge into beautiful patterns, apart from the first and second diagonal (which lead to the series 1 + 1 + 1 + 1 + … and the harmonic series, respectively). A proof of the identity can be found on cut-the-knot.org.

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