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Prove 2^n >n for all n belonging to the set of natural numbers

for n=1 2^1=2 2>1 hence true for n=1 assume true for n then 2^n >n we need to show 2^n+1 > n+1 since 2^n >n 2^n+1 >2n =n+n >n+1 for n>1 hence by induction since true for n= 1 and if ...

Answered by Matthew M. • Maths tutor

3756 Views

How do I make sure my essays include historical analysis and not just narrative?

In order to be as anaytical as possible in your History essays, you must show an awarness of long-term processes of historical change, and how these manifest themselves in the short-term in specific event...

Answered by Jai T. • History tutor

2825 Views

How do I write a convincing personal statement?

Plan it.
What are my skills?
How did I develop these skills?

(It is not the story of your life so stick to relevan things only)

Answered by Luca D. • Personal Statements tutor

2831 Views

How do I write an A* essay?

First of all you must have a good knowledge of the text and the main events of the plot. The examiner can easily recognise whether your knowledge of the text is superficial or in-depth. Furthermore, in A-...

Answered by Luca D. • English Literature tutor

4934 Views

What should I study (and how) to achieve a good grade in Chinese Mandarin GCSE?

FIrst of all, you need to enter the so-called 'Chinese mentality' when writing in Mandarin. In other words, you need to be aware of the main sentence structure (Subject , Verb, Object) and its variants. M...

Answered by Luca D. • Mandarin tutor

2045 Views