Question

Prove that for each positive integer n, (n+1)(n+2)...(2n) is divisible by 2^n


Prove that for each positive integer n, (n+1)(n+2)...(2n) is divisible by 2^n

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove that for n>=1, (2n-1)^2-1 is divisible by 8.
Prove that for n>=1, (2n-1)^2-1 is divisible by 8.
. Prove that 2^(2n-1) + 3^(2n-1) is divisible by 5 for every natural number n.
. Prove that 2^(2n-1) + 3^(2n-1) is divisible by 5 for every natural number n.
Prove the following using induction: (a) For all natural numbers n>2, 2n>2n+1 (b) For all positive...
Prove the following using induction: (a) For all natural numbers n>2, 2n>2n+1 (b) For all positive integersn, 1^3+3^3+5^3+···+(2^n−1)^3=n^2(2n^2−1) (c) For all positive natural numbers n,5/4·8^n+3^(3n−1) is divisible by 19
Use mathematical induction to prove that for each integer n ≥ 4, 5n ≥ 2 2n+1...
Use mathematical induction to prove that for each integer n ≥ 4, 5n ≥ 2 2n+1 + 100.
prove that 2^2n-1 is divisible by 3 for all natural numbers n .. please show in...
prove that 2^2n-1 is divisible by 3 for all natural numbers n .. please show in detail trying to learn.
Discrete math Use mathematical induction to prove that n(n+5) is divisible by 2 for any positive...
Discrete math Use mathematical induction to prove that n(n+5) is divisible by 2 for any positive integer n.
Suppose for each positive integer n, an is an integer such that a1 = 1 and...
Suppose for each positive integer n, an is an integer such that a1 = 1 and ak = 2ak−1 + 1 for each integer k ≥ 2. Guess a simple expression involving n that evaluates an for each positive integer n. Prove that your guess works for each n ≥ 1. Suppose for each positive integer n, an is an integer such that a1 = 7 and ak = 2ak−1 + 1 for each integer k ≥ 2. Guess a...
Prove that 2n < n! for every integer n ≥ 4.
Prove that 2n < n! for every integer n ≥ 4.
Let n be an integer, with n ≥ 2. Prove by contradiction that if n is...
Let n be an integer, with n ≥ 2. Prove by contradiction that if n is not a prime number, then n is divisible by an integer x with 1 < x ≤√n. [Note: An integer m is divisible by another integer n if there exists a third integer k such that m = nk. This is just a formal way of saying that m is divisible by n if m n is an integer.]
Prove by induction that k ^(2) − 1 is divisible by 8 for every positive odd...
Prove by induction that k ^(2) − 1 is divisible by 8 for every positive odd integer k.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT