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# Other Types of Induction

Learn about variations on induction. For example, if you can't topple the first domino, can you prove that toppling the 4th domino topples all of the ones after it?

Consider a statement \[S(N): 1+3+5+\cdots+(2N-1)=7+N^2,\] then which of the following is true?

What is the remainder when \({105}^{165}-1\) is divided by 4?

If \(\displaystyle a_n=2^{2^n}+1\) for \(n > 1,\) then what is the last digit of \(a_{451}?\)

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