Write the first five terms of each of the sequences and obtain the corresponding series a1 = -1, an = an-1/n, n ≥ 2

\( a_n=\dfrac{a_{n-1}}{n}\) and a₁ = -1

Then,

a₂ = \( \dfrac{a_1}{2}\) = \(- \dfrac{1}{2}\)

a₃ = \( \dfrac{a_2}{3}\) = \( - \dfrac{1}{6}\)

a₄ = \( \dfrac{a_3}{4}\) = \( - \dfrac{1}{24}\)

a₅ = \( \dfrac{a_4}{5}\) = \( - \dfrac{1}{120}\)

Thus, the first 5 terms of the sequence are -1, \( - \dfrac{1}{2}\), \( - \dfrac{1}{6}\), \( - \dfrac{1}{24}\) and \( - \dfrac{1}{120}\).

Hence, the corresponding series is

-1 + (\( - \dfrac{1}{2}\)) + (\( - \dfrac{1}{6}\)) + (\( - \dfrac{1}{24}\)) + (\( - \dfrac{1}{120}\)) + …….