The first three terms, in ascending powers of \(x\), in the expansion of \((3+px)^n\) are \(243+810x+qx^2\), where \(n\), \(p\) and \(q\) are constants. Find the values of \(n\), \(p\) and \(q\).[5]
Find the term independent of \(y\) in the expansion of \(\left(2y-\dfrac1{3y^2}\right)^6\). Give your answer in exact form.[2]
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