43 Answered Questions for the topic Mathematical Induction

Mathematical Induction Mathematics

01/04/21

Mathematical Induction
Please I need help with this Inequalities in M.I questionUse the principle of mathematical induction to prove that for all positive integers[a1, a2, ..., an, (a1+a2+...an)/n] ≥ [ⁿ√(a1,... more
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Mathematical Induction Mathematics

01/04/21

Mathematical Induction
Inequalities in M.IUsing the principle of mathematical induction show that 3ⁿ > n²
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Mathematical Induction Precalculus Positive Integer

11/23/20

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
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Mathematical Induction Algebra 2

10/09/20

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.
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Mathematical Induction Mathematics

09/29/19

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

05/10/19

Mathematical Induction proof
How to prove by mathematical Induction?
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Mathematical Induction Algebra 2

03/18/19

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
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Mathematical Induction

01/18/19

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
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Mathematical Induction Maths

06/14/18

n(n+1)(n+2) is divisible by 3
Mathematical induction. Any solution as a worked example would be greatly appreciated. Thanks
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Mathematical Induction

05/06/18

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
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Mathematical Induction

04/17/18

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

03/18/18

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
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Mathematical Induction

02/25/18

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
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Mathematical Induction

02/17/18

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.
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Mathematical Induction Algebra

02/01/18

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
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Mathematical Induction

01/15/18

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
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01/12/18

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
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Mathematical Induction Mathemati

12/22/17

how to prepare jeemains2018 without books
I have no books to prepare jeemains, but it is important
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Mathematical Induction Mathematical Thinking Power Set

12/10/17

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
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Mathematical Induction Mathematical Thinking

12/06/17

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.
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Mathematical Induction Precalculus Trigonometry Pre Calculus

05/28/17

Using mathematical induction to prove the statement is true for all positive integers n. The integer n^3 +2n is divisible by 3 for every positive integer n.
Thank you for your help!  
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Mathematical Induction

03/03/17

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
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Mathematical Induction

01/23/17

1/n(n+1)(n+2)
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)
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Mathematical Induction Mathematical Proof

12/29/16

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.
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Mathematical Induction Proofs

10/10/16

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