Arithmetic and Geometric Progressions Equation Formula Latex Code and Summary

Arithmetic and Geometric Progressions

Tags: #math #arithmetic #geometric #progressions

                                 S_{n}=a+(a+d)+(a+2d)+...+[a+(n-1)d]=\frac{n}{2}[2a+(n-1)d] \\ S_{n}=a+ar+ar^{2}+...+ar^{n-1}=a\frac{1-r^{n}}{1-r}

Let's Vote for the Most Difficult Equation!

Arithmetic progressions: Arithmetic progressions is calculated as $S_{n}=a+(a+d)+(a+2d)+...+[a+(n-1)d]=\frac{n}{2}[2a+(n-1)d]$ . The first number is a, and the consecutive series number follows the pattern of $a+(n-1)d$ at the number at the (n-1) th position is $a+(n-1)d$ .
Geometric progressions: Geometric progressions is calculated as $S_{n}=a+ar+ar^{2}+...+ar^{n-1}=a\frac{1-r^{n}}{1-r}$ . The first number is a, and the consecutive series number follows the pattern of $ar^{n-1}$ with multiplier as r and at the the number at (n-1) th position is $ar^{n-1}$ .

Leave your wishes (e.g. Passing Exams) in the comments and earn as many upvotes as possible to make your wishes come true