These Ten-Year-Series (TYS) worked solutions with video explanations for 2007 A Level H2 Mathematics Paper 1 Question 2 (FM 9234) are suggested by Mr Gan. For any comments or suggestions please contact us at support@timganmath.edu.sg.
2007 A Level H2 Math Paper 1 Question 2 (FM 9234)
Express
$\frac{2n+3}{n\left( n+1 \right)}$
in partial fractions and hence use the method of differences to find
${{\sum\limits_{n=1}^{N}{\frac{2n+3}{n\left( n+1 \right)}\left( \frac{1}{3} \right)}}^{n+1}}$
in terms of $N$.
[4]
Deduce the value of
$\sum\limits_{n=1}^{\infty }{\frac{2n+3}{n\left( n+1 \right)}{{\left( \frac{1}{3} \right)}^{n+1}}}$
[1]
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