43 Answered Questions for the topic Mathematical Induction

Mathematical Induction Proofs


proof by induction

Use the method of proof by induction to show that (1+x+x2 +. . .+xn-1)(1−x) = (1−xn), for all positive integers n
Mathematical Induction Discrete Math Sequence Proof


Please help me with the proof below!

let 〈xn〉n=1...∞ be a sequence satisfying xn+1=xn-xn-1 for each n.Prove that ∀ n ∈ N, xn+6=xn by induction     Please help me. I'm reviewing for my final and something like this may appear on it.
Mathematical Induction Discrete Math Sequences Proof


Please help with proof by induction below

let 〈xn〉n=1...∞ be a sequence satisfying xn+1=xn-xn-1 for each n. Prove that ∀ n ∈ N, xn+6=xn by induction
Mathematical Induction Math Discrete Math Proof


Please help me prove by induction the theorm below

let〈an〉∞n=1 and 〈bn〉∞ n=1 by sequences of numbers Then ∀ m∈N ∑(an+bn) = (∑an) +(∑bn)   Proof by induction   Side note: The summations go from n=1 to m


Prove formula for sum of Fibonacci sequence numbers by mathematical induction.

We need to prove the following using proof by induction. I don't want the actual answer if you can avoid it, I just can't figure out how to do it because when I do it how my notes read I am... more
Mathematical Induction


prove by induction

Prove by Prove, using induction that 2^(n) ≤ 2^(n+1) − 2^(n−1) − 1     for all n ≥ 1  
Mathematical Induction Proofs Abstract Mathematical Proof


Prove Statement using the First Principle of Mathematical Induction

Prove the following statements using the First Principle of Mathematical Induction:(a) If r ≠ 1, then1 + r + r2 + ... + rn = (1 − rn+1)/(1-r) for all n ∈ N. Why does the formula not work when r =... more
Mathematical Induction Inequalities Series


Trying to solve this proof by induction Series question

Prove Sn-1 > 2(n1/2 - 1) for all n ∈ Ν \ {1} where Sn = 1/√1 + 1/√2 + 1/√3 + ... + 1/√n   I have set N = 2 for the basis step: S2-1 = 1/√1 > 2(√2 - 1) Which is true   For the assumption... more


Proof by induction.

Proof by mathematical induction that for every integer h ≥ 0 there exists binary tree of height h with 2h leaves.


Proof by mathematical induction.

Proof by mathematical induction that for every integer h ≥ 0 there exists binary tree of height h with 2h leaves.
Mathematical Induction


proof by induction



Prove that for any integer n, with n greater than or equal to 1...

Using mathematical induction, prove that for any integer n, with n≥1, n(n2-1)(n+2) is divisible by 4.
Mathematical Induction Discrete Math


Prove by induction that ?n=3 : n^2+1=3n

Prove by induction that ∀n≥3 : n^2+1≥3n
Mathematical Induction Proof


Show that 2!*4!*6! *...* (2n)! >= ((n+1)!)^n

Mathematical Induction   2!*4!*6! *...* (2n)! >= ((n+1)!)n     I'm new here. Thanks a lot for your helps and kindness
Mathematical Induction Proving By Mathematical Induction


6/(n raise to 3 - n)

Mathematical Induction


Explain mathematical induction

Can someone explain to me what Mathematical Induction is?
Mathematical Induction


mathematical induction

Show that for all integers greater than zero : 2n >= n+1.
Mathematical Induction


a porper defination of mathematical induction

a mathematical induction define proper  with all types of Examples     

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