For every integer n ≥ 2, let P(n) be the following inequality.2n < (n + 1)!(a)What is P(2)?4 < (n + 2)!4 < 6 4 < 24 < 42n < (n + 2)!
Question
For every integer n ≥ 2, let P(n) be the following inequality.
2n < (n + 1)!
(a) What is P(2)?
4 < (n + 2)!
4 < 6
4 < 24 < 42n < (n + 2)!
Solution
The question seems to be a bit jumbled, but I'll try to answer it as best as I can.
a) What is P(2)?
P(2) is the inequality 2*2 < (2 + 1)!
Solving this step by step:
- Simplify the left side: 2*2 = 4
- Simplify the right side: (2 + 1)! = 3! = 321 = 6
- So, P(2) is the inequality 4 < 6, which is true.
Similar Questions
ow do you check for inequality in an if statement?Answer areax =! yx == yx != yx < y
Solve the inequality. Inequality: k+2(k+1)>−(7k+8)𝑘+2(𝑘+1)>−(7𝑘+8)Solution: k𝑘 Answer 1 Question 7 Answer 2 Question 7
Let! 1 2 3 ...n n= i.e. product of firstn natural numbers. The HCF and LCM of 7! and8! are:
Assume that A = 5, B = 6, C = 10.Which of the following Expressions will be TRUE?A > B or B < CA > B and B < CA != BA + B >= CA % B == 5
If A = 555! And B = (278)555 then which one of the following relation is appropriate?Cannot be determinedA>BA<BA=B
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.