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base case: (1 x 2)/2 = 1 as required inductive step: assuming statement holds for n=k, the (k+1)th triangle number is given by k(k+1)/2 + (k+1) by definition=(k^2+3k+2)/2=(k+1)(k+2)/2=(k+1)((k+1)+1)/2resu...

The p orbitals on each carbon atom in benzene overlapThere is delocalisation of electrons in the ring (not 3 localised C==C double bonds)This makes benzene more thermodynamically stable than predictedIt t...

Drawing this graph uses the same techniques as with most other functions. Just from inspection, we can see that as x increases, e^x also increases, and so the amplitude of the function will decrease (and ...

Introduction:Start off by briefly introducing the topic. Acknowledge the size of Charles' empire by 1529, covering Castile and Aragon, Italy, Mediterranean islands, parts of North Africa and the Americas,...

The most important thing to consider in answering this question is to ensure you are presenting a clear well structured argument. That means you need a point of view of what CAUSED the great rebellion tha...