IB Maths HL, SL, Studies: December 2013

IB maths - Logarithmic equations

Logarithmic equations
How can we solve the following logarithmic equation:

$log_{5}x+log_{5}x^2=3$

The answer is here
http://www.ibmaths4u.com/viewtopic.php?f=3&t=411

IB mathematics HL - Binomial Theorem

IB mathematics HL - Binomial Theorem

How can we find the coefficient of $x^4$ of the expansion of $(x+\frac{1}{x})^8$ ?

The answer is here

http://www.ibmaths4u.com/viewtopic.php?f=3&t=412

IB mathematics Higher Level - Mathematical Induction

IB mathematics Higher Level - Mathematical Induction

How can we prove by induction that $5^{2n}+3n-1$ is divisible by $9$ for every natural number with $n\geq1$ ?

The answer is here

http://www.ibmaths4u.com/viewtopic.php?f=3&t=413

IB Maths HL - Mathematical Induction Series

IB Maths HL - Mathematical Induction Series

How can we prove by induction that $\sum_{r=2}^{n}(r^2+r+1)r!=(n+1)^2n!-4$ for every natural number with $n\geq 2$ ?

The answer is here

http://www.ibmaths4u.com/viewtopic.php?f=3&t=414

IB maths HL - Mathematical Induction inequality

IB maths HL - Mathematical Induction inequality

How can we prove by induction that $2^n>n^2$ for every natural number with $n\geq 5$ ?

The answer is here

http://www.ibmaths4u.com/viewtopic.php?f=3&t=415

IB Maths HL, SL, Studies

Thursday, December 26, 2013

IB maths - Logarithmic equations

IB mathematics HL - Binomial Theorem

IB mathematics Higher Level - Mathematical Induction

IB Maths HL - Mathematical Induction Series

IB maths HL - Mathematical Induction inequality

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