8. What is the sum of the series 1 ...
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8. What is the sum of the series 1 1.3 1.3.5 1*8 * 8.16 * 8.16.24 (6) 2/3 1 (d) 2.13

Defence Exams
Maths
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( y=1-frac{1}{8}+frac{1}{8} cdot frac{3}{16}-frac{1.3 cdot 5}{8 cdot 16.24} cdot cdots ) compole ( R cdot 4.5 ) with ( H m+frac{n(n-1) x^{2}+m(n-1)(n-2) x^{3} cdots cdots}{3 !} ) So ( n x=-1 / 8, frac{n(n-1)}{25} x^{2}=frac{3}{128} ) Solning we get put in in ( x=1 / 4 n=-1 / 2 quad(1+x)^{2} ). weset ( begin{aligned} text { hence } 1-frac{1}{8}+frac{1}{8} cdot frac{3}{16} cdot cdots &=left(1+frac{1}{4}right)^{-1 / 2} &=frac{2}{sqrt{5}} end{aligned} )
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