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Mathematical Induction
is a process uses in College Algebra
It can be used to prove
that a sequence is equal to an equation
For Example:
1+3+5+7+n+2=2n+1
there are 3 steps to mathematical induction
the first includes proving that the equation is true for n=1
the second includes substituting k for every n-term
the third involves substituting k+1 for every k-term to prove that both sides are equal
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How do you solve mathematical induction problems?
Assume something (e.g. equations) using k then prove k+1 using k.
What are the steps in mathematical induction?
Step 1: Formulate the statement to be proven by induction. Step 2: Show that there is at least one value of the natural numbers, n, for which the statement is true. Step 3: Show that, if you assume it is true for any natural number m, greater or equal to n, then it must be true for the next value, m+1. Then, by induction, you have proven that the statement (step 1) is true for all natural numbers greater than or equal to n. Note that n need not be 1.
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