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The basic word order is: person (+ time) (+adverb) (+ place) (+negation) (+ modal verb) + verb (+ duration) + object where you can leave out the things in brackets: Some examples 我在花园喜欢踢足球 I like to play ...
Consider the case n=1. Then 1(1+1)(2*1+1)/6 = 1 = 1^2 and so the claim is true for n=1. Suppose the claim is true for some positive integer n, so that 1+4+9+...+n^2 = n(n+1)(2n+1)/6. Then by the inductive...
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Both particles are used to signify the past tense of a verb, but they signify different types of past tense (which we don't really have in English). 过 is used when to convey the action has been experience...
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