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

Maclaurin Series of 1/(1 + x)^4 using the Binomial Series

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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

I designed these lessons to teach my students about quadratic sequences (the 2nd in a series of 7). This lesson focuses on: adding and subtracting binomials, multiplying binomials, calculating the area and perimeter of a rectangle given binomial and monomial side lengths, and finding the GCF's of two expressions with numbers and variables.

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...

Challenging question on binomial series that students always ask during H2 math tuition.

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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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