Question

(-) Prove that 1·2 + 2·3 +···+ (n−1) n = (n−1)n(n+ 1) /3. (Discrete Math -...

(-) Prove that 1·2 + 2·3 +···+ (n−1) n = (n−1)n(n+ 1) /3. (Discrete Math - Mathematical Induction)

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
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.
Discrete Math Question: Using the fact that if A < B and C < D, then...
Discrete Math Question: Using the fact that if A < B and C < D, then A + C < B + D Proof the following using mathematical induction: For each integer n with n >= 2, 1 + 3n < 2n^2
Prove, using mathematical induction, that (1 + 1/ 2)^ n ≥ 1 + n /2 ,whenever...
Prove, using mathematical induction, that (1 + 1/ 2)^ n ≥ 1 + n /2 ,whenever n is a positive integer.
Use Mathematical Induction to prove that 3 | (n^3 + 2n) for all integers n =...
Use Mathematical Induction to prove that 3 | (n^3 + 2n) for all integers n = 0, 1, 2, ....
Prove by induction that 1*1! + 2*2! + 3*3! +... + n*n! = (n+1)! - 1...
Prove by induction that 1*1! + 2*2! + 3*3! +... + n*n! = (n+1)! - 1 for positive integer n.
Discrete Math 6. Prove that for all positive integer n, there exists an even positive integer...
Discrete Math 6. Prove that for all positive integer n, there exists an even positive integer k such that n < k + 3 ≤ n + 2 . (You can use that facts without proof that even plus even is even or/and even plus odd is odd.)
Use mathematical induction to prove that 12+22+32+42+52+...+(n-1)2+n2= n(n+1)(2n+1)/6. (First state which of the 3 versions of...
Use mathematical induction to prove that 12+22+32+42+52+...+(n-1)2+n2= n(n+1)(2n+1)/6. (First state which of the 3 versions of induction: WOP, Ordinary or Strong, you plan to use.) proof: Answer goes here.
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.
DISCRETE MATH 1. Prove that the set of all integers that are not multiples of three...
DISCRETE MATH 1. Prove that the set of all integers that are not multiples of three is countable.
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.