Hello can someone help me solve this problem and explain it? Thank you.

LetP(n) be the statement that a postage ofncents can be formed using just 4-cent stamps and 7-cent stamps. The parts of this exercise outline a strong induction proof thatP(n) is true for all integersn18.

a)Show that the statementsP(18),P(19),P(20), andP(21) are true, completing the

basis step of a proof by strong induction thatP(n) is true for all integersn18.

b)What is the inductive hypothesis of a proof by strong induction thatP(n) is true for all integersn18?

c)What do you need to prove in the inductive step of a proof thatP(n) is true for all integersn18?

d)Complete the inductive step fork21.

e)Explain why these steps show thatP(n) is true for all integersn18.