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41 Answered Questions for the topic Mathematical Induction

Mathematical Induction Precalculus Positive Integer


Use mathematical induction

Use mathematical induction to prove that the statement is true for every positive integer n.7+49+343+...+7n= 7n+1-7/6
Mathematical Induction Algebra 2


Algebra Question

If P(n): ∑ki=1 i2 (i+1) = 1/12 k (k+1)(k+2)(3k+1) Prove P(k+1) is true. With steps.
Mathematical Induction Mathematics


Mathematical Induction

How to prove this with mathematical induction?
Mathematical Induction Math Discrete Math


Mathematical Induction proof

How to prove by mathematical Induction?
Mathematical Induction Algebra 2


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


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
Mathematical Induction Maths


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

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


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
Mathematical Induction


Prove that n^3-n is divisible by three through mathematical induction where n is a positive interger

Prove through mathematical induction
Mathematical Induction


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
Mathematical Induction


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
Mathematical Induction


Prove that 1/1x2 + 1/2x3 + 1/3x4 + ... + 1/n(n+1) = n/n+1 for all n an element of N (natural numbers) by using mathematical induction

Please indicate each step and how you got to each answer.
Mathematical Induction Algebra


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
Mathematical Induction


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
Mathematical Induction Mathematical Thinking Analysis


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
Mathematical Induction Mathemati


how to prepare jeemains2018 without books

I have no books to prepare jeemains, but it is important
Mathematical Induction Mathematical Thinking Power Set


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
Mathematical Induction Mathematical Thinking


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.
Mathematical 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
Mathematical Induction



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)
Mathematical Induction Mathematical Proof


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.
Mathematical Induction Proofs


Proof by induction

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


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.

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