John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 6, 2023
Arithmetic

How to Find the Explicit Formula for an Arithmetic Sequence: Step-by-Step Guide

Explicit Formula for Arithmetic Sequence To find the explicit formula for an arithmetic sequence, we need two pieces of information: the first term (a₁) and the common...

John Rhodes
July 6, 2023
Arithmetic

Calculating the nth term of a geometric sequence using the explicit formula with an example

Explicit Formula for Geometric Sequence The explicit formula for a geometric sequence is given by: an = a1 * r^(n-1) where: – an represents the nth term...

John Rhodes
July 6, 2023
Arithmetic

Calculating the Infinite Sum of a Geometric Sequence: Formula and Examples

The Geometric Sequence Infinite Sum To find the infinite sum of a geometric sequence, we need to understand what a geometric sequence is To find the infinite...

John Rhodes
July 6, 2023
Arithmetic

How to Find the Sum of a Finite Geometric Sequence: Step-by-Step Guide + Example Problem

The Geometric Sequence Finite Sum To compute the sum of a finite geometric sequence, we can use the formula: Sn = a(1 – r^n) / (1 –...

John Rhodes
July 6, 2023
Calculus

Understanding the Intermediate Value Theorem with an Example

Intermediate Value Theorem (IVT) The Intermediate Value Theorem (IVT) is a fundamental concept in calculus that deals with the continuity of functions The Intermediate Value Theorem (IVT)...

John Rhodes
July 6, 2023
Calculus

Exploring Discontinuity in Mathematics: Types, Examples, and Significance

Discontinuity In mathematics, discontinuity refers to a situation where a function is not continuous at a particular point or within a specific interval In mathematics, discontinuity refers...

John Rhodes
July 6, 2023
Calculus

The Importance of Continuity in Mathematics: Understanding, Definition, and Properties

Continuity Continuity is a concept in mathematics that describes the smoothness or uninterrupted nature of a function within its domain Continuity is a concept in mathematics that...

John Rhodes
July 6, 2023
Calculus

Understanding Limits: Evaluating the Limit as x Approaches Infinity of a Power Function with Higher Exponent Numerator

lim x->∞ pow top > pow bottom To evaluate the limit as x approaches infinity of a power function where the exponent of the numerator is greater...