SOLUTION: For n ∈N, P(n) is a proposition such that for any n ∈ N, P(n + 1) ⇒ P(n) is true. Which of the following are/is true? (a) For any n ∈ N, P(n) (b) For an

SOLUTION: For n ∈N, P(n) is a proposition such that for any n ∈ N, P(n + 1) ⇒ P(n) is true. Which of the following are/is true? (a) For any n ∈ N, P(n) (b) For an

Algebra.Com

Question 762556: For n ∈N, P(n) is a proposition such that for any n ∈ N, P(n + 1) ⇒ P(n) is true.
Which of the following are/is true?
(a) For any n ∈ N, P(n)
(b) For any n ∈ N, P(1) ⇒ P(n)
(c) For any n ∈ N, (P(5) ∧ n < 5) ⇒ P(n)
(d) P(10) ⇒ P(9)
(e) ) P(9) ⇒ P(10)
Answer by tommyt3rd(5050) (Show Source): You can put this solution on YOUR website!
(d)
RELATED QUESTIONS
List all elements of the set A ∩ B, where A = {n ∈ N | ∃k ∈ N... (answered by robertb)

List all elements of the set A ∩ B, where A = {n ∈ N | n = 2^n − 1} and (answered by richard1234)

Solvetheequation(n+1)! 30(n−1)!forn∈N. (Remember: N is the set of natural... (answered by Fombitz)

For each statement,state whether it is always,sometimes,or never true, and briefly... (answered by KMST)

Assuming that p(n) is the nth prime number, estabilish that p(n)>2n-1, for... (answered by solver91311)

Let p(n) and s(n) denote the product and the sum, respectively, of the digits of the... (answered by Edwin McCravy)

Solve via direct proof: n^5 - 64n^3 - n^2 ∈ Θ (n^5) I'm not exactly sure... (answered by ikleyn)

The sequence u_n is defined recursively by the rules u_1 = 2, u_2 = 4, u_(n+2) =... (answered by robertb)

Raising n^(-p/n) by which of the following will give the result n? a) p^(-p/n) b)... (answered by Fombitz)