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    Tag: Mathematical Induction

    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…

    iitutor January 19, 2023
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    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…

    iitutor September 14, 2021
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    Proving Sum of Consecutive Cube Numbers Formula

    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…

    iitutor September 10, 2021
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    Production of Fractions Proof by Mathematical Induction

    iitutor August 23, 2021
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    Sum of Fractions by Mathematical Induction

    iitutor August 10, 2021
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    Production Formula by Mathematical Induction

    iitutor August 9, 2021
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    Summation Proof by Mathematical Induction

    iitutor August 6, 2021
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    Two Initial Values in Mathematical Induction

    iitutor June 15, 2021
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    Using Recurring Formulae in Mathematical Induction

    iitutor June 15, 2021
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    Sum of Terms with Indices in Mathematical Induction

    iitutor June 14, 2021
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