Three consecutive terms in an arithmetic sequence are \(3 \mathrm { e } ^ { - p } , 5,3 \mathrm { e } ^ { p }\)
Find the possible values of \(p\). Give your answers in an exact form. [0pt]
[6 marks]
9
Prove that there is no possible value of \(q\) for which \(3 \mathrm { e } ^ { - q } , 5,3 \mathrm { e } ^ { q }\) are consecutive terms of a geometric sequence. [0pt]
[4 marks]