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Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class11  >>  Sequence and Series
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Let $\;a_{r}=\int\limits_{0}^{\frac{\pi}{4}}\;tan^{r}\;x\;dx$ , then $\;a_{1}+a_{3}\;,a_{2}+a_{4}\;,a_{3}+a_{5}\;$ are in


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Answer : (c) HP
Explanation : $\;a_{r}+a_{r+2}=\int\limits_{0}^{\frac{\pi}{4}}\;tan^{r}\;x\;(1+tan^{2}\;x)\;dx$
They are in HP.
answered Jan 21, 2014 by yamini.v

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