39 Answered Questions for the topic Mathematical Induction

Mathematical Induction

How to prove this with mathematical induction?

Mathematical Induction proof

How to prove by mathematical Induction?

use induction to prove that 3^(3n+3)-26n+27 is a multiple of 169 for all numbers n

3^(3n+3)-26+27 is a multiple of 169 by induction

Mathematical induction

Use mathematical induction to prove that (bottom)r=1 Ʃ (top)n, r In x=(n÷2) In x(n+1) for all n E N

n(n+1)(n+2) is divisible by 3

Mathematical induction. Any solution as a worked example would be greatly appreciated. Thanks

Mathematical Induction

Use mathematical induction to prove the following statement for every positive integer n >_1:                          2+6+12+...+n(n+1)=(n(n+1)(n+2))/3

by the method of induction,show that 10 +3x+5 is divisible by 9

By the method of induction,show that 10n+3x4n+2+5 is divisible by 9

Use mathematical induction to prove

Use mathematical induction to prove 21 + 22 + 23 + ... +2n = 2n+1 - 2 is true for all positive integer of n

How to do the following algebra step in mathematical induction

I am doing an induction proof and they skipped over an algebra step.   how does:                            become: k      +  1                              k(k+2) +1 ----      ------------   ... more

Discrete math-Mathematical induction

Hello there, I was just wondering my lecturer deduct my marks for this and gave 1/2 out of 2: Given 4+8+12+...+4n = 2n^2+2n for n>=1, My solution: 1. Inductive base: n =1, 4 = 4; 2.... more

Can someone help me prove the below by induction please? Thanks :)

Prove by induction:nΣ(q^i) = (q^(n+1)-1)/(q-1)i=0

how to prepare jeemains2018 without books

I have no books to prepare jeemains, but it is important

Help with proof by induction please - see below!

The power set of a finite set A, denoted P(A), is defined to be the set of all subsetsof A. For instance, if A = {1, 2}, then P(A) = {∅, {1}, {2}, {1, 2}}. Note that P(A) isa set which contains... more

Struggling with proof by induction. Can someone help me please with the below?

A sequence an is defined recursively as an+2 = −3an+1 − 2an, a0 = 1, a1 = −2.Conjecture a formula for an and prove it by induction.

Prove: 2 is a factor of (n^4-n+4)

I need full steps written out using mathematical induction please help!   Teacher lists three steps as   prove true for n=1   assume true for n=k   Prove true for n=k+1


1/1.2.3 + 1/2.3.4 + 1/3.4.5 + 1/n(n+1)(n+2) = n(n+3)/4(n+1)(n+2)

n∑k=1,(2k^2-4k+3)=n/3(2n^2-3n+4),prove by mathematical induction.

I stucked with this after step one where u prove by substituting 1 into the unknowns.Do kindly assist.

Proof by induction

1 × 3 + 3 × 5 + 5 × 7 + . . . + (2n − 1)(2n + 1) = n(4n2 + 6n − 1)/3.      

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

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.

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

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

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