#22 Proof Principle of Mathematical induction mathgotserved 1^2+2^2 +3^2++ n^2 nn+12n+1 6

Business Contact: [email protected] Epic Collection of Mathematical Induction : https://www.mathgotserved.com/mathematical-induction Prove 1) 1+2+3+...+n=n(n+1)/2 ----------------------------- https://tinyurl.com/tou5rob 2) 2+2^2+2^3+...+2^n=2(2^n-1) -------------------- https://tinyurl.com/rmnoubd 3) 1+5+9+...+(4n-3)=n(2n-1)---------------------------https://tinyurl.com/tp9csgv 4) 1/(1X2)+1/(2X3)+...+1/(n(n+1))=n/(n+1), https://tinyurl.com/rp6wg57 5) n^3+2n is divisible by 3,----------------------------https://tinyurl.com/rkjtrsx 6) n less 2n----------------------------------------------------https://tinyurl.com/wp9tqfe 7) 1+3+5+7+...+(2n-1)=n^2 for all n in N,-----https://tinyurl.com/safzdmc 8) sum Σ k=1 to n k^2= 1/6n(n+1)(2n+1)----https://tinyurl.com/v3jcw3z 9) 9^n-2^n id divisible by 7,----------------------------https://tinyurl.com/v3jcw3z 10) 1+5+9+13+..+(4n-3)=½n(4n-2)----------------https://tinyurl.com/v3jcw3z 11) n Σ k =n(n+1)/2 sum of k n plus one over two---https://tinyurl.com/wratyjw 12) 1^3+2^3+3^3+..+n^3= (n(n+1)/2)^2 n^2(n+1)^2/4,-----https://tinyurl.com/qrcgnb3 13) 10^1+10^2+10^3+...+10^n=10/9(10^n-1),----------------https://tinyurl.com/v96s345 14) d/dx (x^-1)=(-1)^nn!/x^(n-1)-----------------------https://tinyurl.com/sb8sfbh 15) 2^n greater or equal 1+n,------------------------ https://tinyurl.com/tbth2cz 16) 3^n less than (n+1)!,--------------------------------https://tinyurl.com/tvd6pqk 17) 8^n-1 is divisible by 7,-----------------------------https://tinyurl.com/udnvmwv 18) 10^n-3^n is divisible by 7-------------------------https://tinyurl.com/wncts9h 19) 5^n-2^n is divisible by 3--------------------------https://tinyurl.com/vafdffj Math Tutorials Links Website www.mathgotserved.com Algebra Foundations Converting /Translating Verbal to Expressions Equations https://bit.ly/2PdJkYP Order of Operations: https://bit.ly/31ZzbQM Adding and Subtracting Integers Rationals: https://bit.ly/2PdNG28 Multiplying and Dividing Rationals Integers https://bit.ly/323koVm The Distributive Property how to https://bit.ly/2zoaYaL Equations Solve One Step Equations https://bit.ly/2U5ztTw Solve Multi step equations solving how to https://bit.ly/2LaM5op Absolute Value Equations how to solve https://bit.ly/2PqERlo Mixture Problem how to solve https://bit.ly/30C5Wn9 Combined Work Word Problems https://bit.ly/2lIDYX1 Literal Equations How to Solve formulas https://bit.ly/2kcCe8l Inequalities Graphing single variable inequalities https://bit.ly/2ZrEfk5 Solve One Step Inequalities how to https://bit.ly/2Ui6njY Solve two step inequalities https://bit.ly/2ZDLFw5 Solving Multi Step Inequalities https://bit.ly/2HAQgZI Solve Proportions solving https://youtu.be/FyHhhNig_i4 Graphing how to Graph Linear Functions https://bit.ly/2zCDFks How to Graph Linear Inequalities https://bit.ly/2MMip49 Graph Absolute Value Equations https://bit.ly/32izWF0 Solve Systems of Equations by Graphing Systems of Equations by elimination https://bit.ly/2L9vbro Systems of Equations by substitution https://bit.ly/2zzQXxV Systems of Linear Inequatlities https://bit.ly/2ZCr8YQ The quotient property of exponents https://bit.ly/34g8OIe Domain and Range https://bit.ly/2kle0Zi Precalculus Entire Collection https://bit.ly/34f3PHS Vectors https://bit.ly/2kmFIFa Induction Discrete Math Proofs https://bit.ly/2lSNHu6 Matrices https://bit.ly/2lmjinD Unit Circle https://bit.ly/2jRE51W Identities https://bit.ly/2koPmHp Conic Sections https://bit.ly/2lpkNkY Laws of Sines Cosines https://bit.ly/2knCbGx Ap Calculus Collection https://bit.ly/2ZGXbqi Ap calculus Limits https://bit.ly/2ZFU2XZ Ap Calculus Derivatives https://bit.ly/2lTRs2o Ap calculus Implicit Differentiation https://bit.ly/2llEFW9 Optimization https://bit.ly/2lLbzj6 Extrema Maximum Minimum https://bit.ly/2lqmezN Solids of Revolution https://bit.ly/2lqlJW5 Definite Integral Integration https://bit.ly/2lpfbXW Integration by Parts https://bit.ly/2kmFcac Related Rates https://bit.ly/2lmezCp Tabular Integration https://bit.ly/2lTZ05e TESTS Accuplacer https://bit.ly/2ZCVcTV ACT https://bit.ly/2ZnNd1Y CBEST https://bit.ly/2zBtahc NY Regents https://bit.ly/2lSyCZw Praxis https://bit.ly/2jTKZ6R Ap Calculus MC https://bit.ly/2lHVmev Ap Calculus FRQ https://bit.ly/2jRxUeg Thea https://bit.ly/2knLztI TI 83 89 Texas INstruments Calculator tutorials https://bit.ly/2jTSURD Formula Sheet Collection https://mathgotserved.com/mathematics-formula-collection