Let \[f(x)={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+...+{{a}_{n}}{{x}^{n}}+...\]and \[\frac{f(x)}{1-x}={{b}_{0}}+{{b}_{1}}x+{{b}_{2}}{{x}^{2}}+...+{{b}_{n}}{{x}^{n}}+....,\]then

\[{{b}_{n}}/{{b}_{n-1}}={{a}_{n}}\]

\[{{b}_{n}}={{b}_{n-1}}={{a}_{n}}\]

\[{{b}_{n}}-{{b}_{n-1}}={{a}_{n}}\]

Let \[f(x)={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+...+{{a}_{n}}{{x}^{

1.	Let \[f(x)={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+...+{{a}_{n}}{{x}^{n}}+...\]and \[\frac{f(x)}{1-x}={{b}_{0}}+{{b}_{1}}x+{{b}_{2}}{{x}^{2}}+...+{{b}_{n}}{{x}^{n}}+....,\]then
A.	\[{{b}_{n}}={{b}_{n-1}}={{a}_{n}}\]
B.	\[{{b}_{n}}-{{b}_{n-1}}={{a}_{n}}\]
C.	\[{{b}_{n}}/{{b}_{n-1}}={{a}_{n}}\]
D.	none of these
Answer» C. \[{{b}_{n}}/{{b}_{n-1}}={{a}_{n}}\]

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Let \[f(x)={{a}_{0}}+{{a}_{1}}x+{{a}_{2}}{{x}^{2}}+...+{{a}_{n}}{{x}^{n}}+...\]and \[\frac{f(x)}{1-x}={{b}_{0}}+{{b}_{1}}x+{{b}_{2}}{{x}^{2}}+...+{{b}_{n}}{{x}^{n}}+....,\]then

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