If $2 x^{9} - 5 x^{4} + k = 0$ and $S_{9} = 16$ , then $k =$

16

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- 16

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32

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- 32

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Solution

The correct option is D $- 32$
For $2 x^{9} - 5 x^{4} + k = 0$
$S_{9} = - \frac{constant term}{coeff. of x^{9}} = 16 \Rightarrow - \frac{k}{2} = 16 \Rightarrow k = - 32$

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