If ${I_n} = \int\limits_{{\pi \over 4}}^{{\pi \over 2}} {{{\cot }^n}x\,dx} $, then :

Question

${1 \over {{I_2} + {I_4}}},{1 \over {{I_3} + {I_5}}},{1 \over {{I_4} + {I_6}}}$ are in A.P.

I₂ + I₄, I₃ + I₅, I₄ + I₆ are in A.P.

${1 \over {{I_2} + {I_4}}},{1 \over {{I_3} + {I_5}}},{1 \over {{I_4} + {I_6}}}$ are in G.P.

I₂ + I₄, (I₃ + I₅)², I₄ + I₆ are in G.P.

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