Mathematical Induction Use mathematical induction to prove that the formula is true for all natural numbers
The expression using mathematical induction.
The expression is given as,
Prove basis step for . Assume formula is true for some natural number and show that the formula is true for .
Denote the given expression by .
Substitute in equation (1).
This proves Step .
Assume is true for some . This is called the induction hypothesis.
Show that is true.
can be rewritten using the induction hypothesis as follows
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