Mathematics | Senioritis

John Rhodes
June 21, 2023
Linear Algebra

A Guide To Pivot And Free Variables In Linear Programming For Optimal Solutions

What is a pivot/basic variable? Free variable? A pivot/basic variable corresponds to a pivot column. A free variable corresponds to a solution of the system for any...

John Rhodes
June 21, 2023
Differential Equations

Mastering The Power Of The Existence And Uniqueness Theorem For Differential Equations In Mathematics

Existence and Uniqueness Theorem a linear system is consistent if and only if the rightmost column of the augmented matrix is NOT a pivot column – that...

John Rhodes
June 21, 2023
Arithmetic

Mastering The Basics Of Arithmetic Sequences: Formulas, Applications, And Examples

Arithmetic sequence a sequence in which each term is found by adding the same number to the previous term An arithmetic sequence is a sequence of numbers...

John Rhodes
June 21, 2023
Arithmetic

Mastering Geometric Sequences: Definition, Formula, And Real-Life Applications

geometric sequence a sequence in which each term is found by multiplying the previous term by the same numbers A geometric sequence, also known as a geometric...

John Rhodes
June 21, 2023
Arithmetic

How To Find Any Term In A Geometric Sequence With The Formula A(N) = A(1) * R^(N-1)

Formula for geometric sequence an=a1(r)^n-1*use formula to sub for n The formula for a geometric sequence is: a(n) = a(1) * r^(n-1) where: a(n) is the nth...

John Rhodes
June 21, 2023
Arithmetic

Mastering Stigma Notation: A Guide To Efficiently Expressing Large And Small Numbers In Science And Engineering

Stigma Notation n^E ar^i=1 i=1 In statistics, stigma notation is a method of representing very large or very small numbers using scientific notation. It involves expressing a...

John Rhodes
June 21, 2023
Arithmetic

Master The Sum Of Arithmetic Series With Our Complete Formula Guide

formula for sum of arithmetic series S=n(a1+an/2) The formula for the sum of an arithmetic series is: S = (n/2)(a1 + an) where S = sum of...

John Rhodes
June 21, 2023
Arithmetic

Mastering The Sum Of A Geometric Series Formula: A Step-By-Step Guide

formula for sum of geometric series S=a(1-r^n/1-r) The formula for the sum of a finite geometric series is given by: Sum of Geometric Series = [First term...