I am just learning about induction proofs. So far I am only familiar with induction equality proofs, and inequality proofs. Such as, for example, prove the sum of the powers of 2 = $2^{n+1} - 1$...
I am confused on the following proof:
The sum of the first n odd squares is $\frac 43 n^3 - \frac 13n$
How do I start this proof? it looks like only one statement with nothing to compare it to. I was thinking maybe I would represent the sum of the first n odd squares as the formula $(2n - 1)^2$ and then set the proof up as
$(2n - 1)^2 = \frac 43 n^3 - \frac 13n$
so it looks more like the form I am used to. Is this correct? Am I missing a small nuance of importance? Thanks for any and all help.
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