Find the next term of the list of numbers $\dfrac{3}{16}, -\dfrac{3}{8}, \dfrac{3}{4}, -\dfrac{3}{2}, …$

The given list of numbers,

$\dfrac{3}{16}, -\dfrac{3}{8}, \dfrac{3}{4}, -\dfrac{3}{2}, …$ is a G.P with first term a = $\dfrac{3}{16}$ and common ratio = r = -2.

By formula, a_n = ar^{n - 1}

∴ a₅ = $\dfrac{3}{16}(-2)^4 = \dfrac{3}{16} \times 16 = 3.$

Hence, the next term of the G.P. is 3.