Question
Prove that, for all n ∈N, (1 +√2)n ≥ 1 + n√2.
Prove that, for all n ∈N, (1 +√2)n ≥ 1 + n√2.
Homework Answers
Answer #1
Solution:
Not the answer you're looking for?
Similar Questions
Prove that 1−2+ 2^2 −2^3 +···+(−1)^n 2^n =2^n+1(−1)^n+1 for all nonnegative integers n.
Prove that 1−2+ 2^2 −2^3 +···+(−1)^n 2^n =2^n+1(−1)^n+1 for all
nonnegative integers n.
Prove that for all positive integers n, (1^3) + (2^3) + ... + (n^3) = (1+2+...+n)^2
Prove that for all positive integers n,
(1^3) + (2^3) + ... + (n^3) = (1+2+...+n)^2
1. Prove that 21 divides 3n7 + 7n3 + 11n for all integers n. 2. Prove...
1. Prove that 21 divides 3n7 +
7n3 + 11n for all integers
n.
2. Prove that n91 ≡ n7 (mod
91) for all integers n. Is n91 ≡
n (mod 91) for all integers n ?
Exercise 1. Prove that floor[n/2]ceiling[n/2] = floor[n2/4], for all integers n.
Exercise 1. Prove that floor[n/2]ceiling[n/2] =
floor[n2/4], for all integers n.
Prove that 1 · 1! + 2 · 2! + ··· + n · n! =...
Prove that 1 · 1! + 2 · 2! + ··· + n · n! = (n + 1)!−1 whenever
n is a positive integer.
1) Prove by induction that 1-1/2 + 1/3 -1/4 + ... - (-1)^n /n is always...
1) Prove by induction that 1-1/2 + 1/3 -1/4 + ... - (-1)^n /n is always
positive
2) Prove by induction that for all positive integers n, (n^2+n+1)
is odd.
Prove that 1 + r + r^2 + … + r n = (1 – r^(n...
Prove that 1 + r + r^2 + … + r n = (1 – r^(n +1) )/(1 – r) for
all n ∈ N, when r ≠ 1
Statement: "For all integers n, if n2 is odd then n is odd" (1) prove the...
Statement: "For all integers n, if n2 is odd then n is odd"
(1) prove the statement using Proof by Contradiction
(2) prove the statement using Proof by Contraposition
Use Induction to prove that 1 + 2 + 2^2 +.... + 2^n= 2^(n+1)-1 for n...
Use Induction to prove that 1 + 2 + 2^2 +.... + 2^n= 2^(n+1)-1
for n in N.
Prove by induction on n that 13 | 2^4n+2 + 3^n+2 for all natural numbers n.
Prove by induction on n that 13 | 2^4n+2 + 3^n+2 for all natural
numbers n.
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 8 minutes ago
asked 10 minutes ago
asked 13 minutes ago
asked 34 minutes ago
asked 38 minutes ago
asked 45 minutes ago
asked 59 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago