Formulas

A collection of random formulas.

Formula for \(\pi\) using the Nikalantha Series

To find a particular term in the series, assuming that the term number is x, replace ∞ with x-1, which works for everything except the first term which is of course 3.

\[ 3+\sum_{n=1}^{\infty}\left(-1\right)^{n-1}\frac{4}{2n\cdot\left(2n+1\right)\cdot\left(2n+2\right)} \]

The quadratic formula but simpler to understand

\[ x = -\frac{b}{2a}\pm\sqrt{-\frac{c}{a}+\left(\frac{b}{2a}\right)^2} \]

Point Slope to Slope Intercept Form

\[ y=mx-mx_{1}+y_{1} \]

Tangent line of \(f(x)\)

\[ y=f'\left(x_1\right)\left(x-x_{1}\right)+f\left(x_{1}\right) \]