Mathematics, 18.09.2019 16:20 tiarabivens0

Let p (n) be the statement that a postage of n cents can be formed using just 3-cent stamps and 5-cent stamps. the parts of this exercise outline a strong induction proof that p (n) is true for n ≥ 8.
(a) show that the statements p(8), p(9), and p(10) are true, completing the basis step of the proof.
(b) what is the inductive hypothesis of the proof?
(c) what do you need to prove in the inductive step?
(d) complete the inductive step for k ≥ 10.
(e) is p(n) true for n ≥ 8 if you have only one 5-cent stamp? only two 5-cent stamps?

Answers: 3

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 16:30, skye2598

Kelly is a salesperson at a shoe store, where she must sell a pre-set number of pairs of shoes each month. at the end of each work day the number of pairs of shoes that she has left to sell that month is given by the equation s=300-15x , where s is the number of pair of shoes kelly still needs to sell and x is the number of days she has worked that month. what is the meaning of the number 300 in this equation

Answers: 3

continue

Mathematics, 21.06.2019 18:30, Kelseyyleigh2611

Haruka hiked several kilometers in the morning. she hiked only 66 kilometers in the afternoon, which was 25% less than she had hiked in the morning. how many kilometers did haruka hike in all?

Answers: 3

continue

Mathematics, 21.06.2019 22:30, miami158999

Agallon of apple juice cost $7 a pack of eight 4.23oz box of apple juice $2.39 which is a better deal

Answers: 1

continue

Mathematics, 21.06.2019 22:30, lorilhuff8197

Proving the parallelogram diagonal theoremgiven abcd is a parralelogam, diagnals ac and bd intersect at eprove ae is conruent to ce and be is congruent to de

Answers: 1

continue

You know the right answer?

Let p (n) be the statement that a postage of n cents can be formed using just 3-cent stamps and 5-ce...