Base step: Show it is true for first case, usually n =1.
Induction step: Show that if n = k is true then n = k+1 is also true.
Let us show the induction is true for P(19).
P(19) = one 10 cent stamp + three 3 cent stamps.
Let us assume that the induction is true for n.
That is, n postage amount can be formed using 10 cents and 3 cents stamps.
Now it is necessary to show that the induction is true for n + 1.
If there are no 10 cents in n, then remove three cents stamps and add one 10 cent stamps to get n +1.
P(18) = six 3 cents stamp
There is no 10 cents stamps thus, remove three 3 cents stamp and add one 10 cents.
That is, P(18) = six 3 cents stamp – three 3 cent stamp + one 10 cents stamp.
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