Extended Principle of Mathematical Induction The Extended Principle of Mathematical Induction states that if Conditions a and b hold, that is,
a. A statement is true for a natural number .
b. If the statement is true for some natural number , then it is also true for the next natural number .
Then the statement is true for all natural numbers
. Use the Extended Principle of Mathematical Induction to show that the number of diagonals in a convex
[Hint: Begin by showing that the result is true when (Condition (a).]
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