Determining Initial Values | Principles of Mathematical Induction
Prove \( 1+3+5+\cdots+(2n+1) = (n+1)^2 \). Step 1 Show it is true for \( n=0 \) by mathematical induction. \( \begin{align} &\text{LHS} = 2 \times…
Tag: Mathematical Induction
Mastering Integration by u-Substitution: Your Ultimate Guide
Welcome to the ultimate guide to mastering the art of integration by u-substitution. Whether you’re a calculus student looking to ace your math class, a…
Proving Sum of Consecutive Cubes Formula
The sum of the first n consecutive cubes is equal to the square of the sum of the first n numbers. This post explains how…