Would anyone please show me a step-by-step solution and explanation for this statement? It's a "Discrete Math" problem and here's the problem:

"Let P(n) be the statement that a postage of n cents can be formed using just 5-cent and 7-cent stamps." Use strong mathematical induction to prove that P(n) is true for n 2 24. (NOTE: You can't use Proposition 5.3.1 to complete the proof. Please remember that you must prove the statement using strong mathematical induction) Proposition 5.3.1 For every integer n 2 8, art can be obtained using 3:21 and 5 coins. Proof (by mathematical induction): Let the property P(n) be the sentence fl can be obtained using 3925 and Set coins. (h P(n) Show that P(S) is true: Note To write 13(8), just P(S) is true because 89: can be obtained using one 395 coin and one 59: coin. CODE Pin) 3nd replace Show that for every integer k a 8, ifPUt) is true then P(k + 1) is also true: eac n y . [Suppose that P(k) is true for a particular but arbitrarily chosen integer k 2 8. That is:[ Suppose that k is any integer with k 2 8 such that Note To write P(k),just k can be obtained using 3 and Set coins.