<ol class="i-list"><li><div class="list-item-content"><span class="list-item-text">find the expansion of $\frac{1}{{{\left( 1-3x \right)}^{3}}}$ in ascending powers of $x$ up to and including the ${{x}^{2}}$ term.</span></div></li><li><div class="list-item-content"><span class="list-item-text">State the set of values of $x$ for which the series expansion is valid.</span></div></li><li><div class="list-item-content"><span class="list-item-text">Find, in terms of $n$, the coefficient of ${{x}^{n}}$ in the expansion in ascending powers of $x$ for $\frac{1}{{{\left( 1-3x \right)}^{3}}}$, leaving your answer in the simplest form.</span></div></li></ol>

find the expansion of $\frac{1}{{{\left( 1-3x \right)}^{3}}}$ in ascending powers of $x$ up to and including the ${{x}^{2}}$ term.

State the set of values of $x$ for which the series expansion is valid.

Find, in terms of $n$, the coefficient of ${{x}^{n}}$ in the expansion in ascending powers of $x$ for $\frac{1}{{{\left( 1-3x \right)}^{3}}}$, leaving your answer in the simplest form.

NYJC P1 Q2

NYJC P1 Q2

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