If \( (1+x)^{n}=C_{0}+C_{1} x+C_{2} x^{2}+C_{3} x^{3}+C_{n} x^{n} \...

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If \( (1+x)^{n}=C_{0}+C_{1} x+C_{2} x^{2}+C_{3} x^{3}+C_{n} x^{n} \), prove
\( \mathrm{P} \)
that
W
\[
3 C_{0}-8 C_{1}+13 C_{2}-18 C_{3}+\ldots . . \text { upto }(n+1) \text { terms }=0
\]
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