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  • IB Mathematics
    • SL Applications and Interpretation
    • HL Applications and Interpretation
    • SL Analysis and Approaches
    • HL Analysis and Approaches
  • Cambridge Mathematics
    • Lower Secondary
    • IGCSE Core
    • IGCSE Extended
    • IGCSE Additional
    • IGCSE International Core
    • IGCSE International Extended
    • IGCSE (US) Core
    • IGCSE (US) Extended
    • IGCSE (US) Additional
    • O Level
    • O Level Additional
    • International AS and A Level
    • International AS and A Level Further
  • HSC Mathematics
    • Year 11 Standard
    • Year 11 Advanced
    • Year 11 Extension 1
    • Year 12 Standard 1
    • Year 12 Standard 2
    • Year 12 Advanced
    • Year 12 Extension 1
    • Year 12 Extension 2
  • VCE Mathematics
    • Foundation Units 1 and 2
    • General Units 1 and 2
    • Maths Methods Units 1 and 2
    • Specialist Units 1 and 2
    • Further Units 3 and 4
    • Maths Methods Units 3 and 4
    • Specialist Units 3 and 4

Mathematical Induction

Proof of Sum of Geometric Series by Mathematical Induction

Proof of Sum of Geometric Series by Mathematical Induction

September 20, 2021 0 comments

Considerations of Sum of Geometric Series The sum of geometric series is defined using r, the common ratio and n, the number of terms. The common could be any real numbers with some exceptions; the common ratio is 1 and 0. If the common ratio is 1, the series becomes the sum of constant numbers, […]

iitutorSeptember 20, 2021 0 comments
iitutor
Easy Method of Integration by Substitution: U-Substitution

Easy Method of Integration by Substitution: U-Substitution

September 14, 2021 0 comments

The substitution method of integration is useful when an integral contains some function and its derivative. Set a replacement letter, say u mostly (sometimes w) and in this case, and replace all letters x by u for getting the integration done easier. Once integrate the u-integral in terms of u, replace x-written expressions to get […]

iitutorSeptember 14, 2021 0 comments
iitutor
Proving Sum of Consecutive Cubes Formula

Proving Sum of Consecutive Cubes Formula

September 10, 2021 0 comments

The sum of the first n consecutive cubes is equal to the square of the sum of the first n numbers. This post explains how to analyse the pattern of the sum of consecutive cubes and the square of the sum of the first n numbers, derive the sum formula and prove the formula using […]

iitutorSeptember 10, 2021 0 comments
iitutor
Divisibility Proof by Mathematical Induction: Sum of Three Consecutive Cubes

Divisibility Proof by Mathematical Induction: Sum of Three Consecutive Cubes

September 9, 2021 0 comments

There are many ways to prove “The sum of three consecutive cubes is always divisible by nine”. This post explains how to determine the pattern of the sum of three consecutive cubes by listing the first few number series and to see how they relate to each other. Having some examples showing the sum of […]

iitutorSeptember 9, 2021 0 comments
iitutor
Divisibility Proof for Two Indices by Mathematical Induction

Divisibility Proof for Two Indices by Mathematical Induction

August 24, 2021 0 comments
https://youtu.be/oxZOX9U2pLE  
iitutorAugust 24, 2021 0 comments
iitutor
Production of Fractions Proof by Mathematical Induction

Production of Fractions Proof by Mathematical Induction

August 23, 2021 0 comments
https://youtu.be/8qs3j11Vm_A  
iitutorAugust 23, 2021 0 comments
iitutor
Sum of Fractions by Mathematical Induction

Sum of Fractions by Mathematical Induction

August 10, 2021 0 comments
https://youtu.be/khuPccVKHVY  
iitutorAugust 10, 2021 0 comments
iitutor
Production Formula by Mathematical Induction

Production Formula by Mathematical Induction

August 9, 2021 0 comments
← Previous Lesson Next Lesson → https://youtu.be/z2j8H6RKtdk  
iitutorAugust 9, 2021 0 comments
iitutor
Divisibility Proof by Mathematical Induction by Finding Initial Values

Divisibility Proof by Mathematical Induction by Finding Initial Values

August 7, 2021 0 comments
← Previous Lesson Next Lesson → https://youtu.be/_ISa_3FGKBE  
iitutorAugust 7, 2021 0 comments
iitutor
Summation Proof by Mathematical Induction

Summation Proof by Mathematical Induction

August 6, 2021 0 comments
← Previous Lesson Next Lesson → https://youtu.be/MR8aORxiGOE  
iitutorAugust 6, 2021 0 comments
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