Question

Write the next three numbers based on the pattern, $-\frac{1}{2},-\frac{2}{4},-\frac{3}{6},-\frac{4}{8},\frac{-5}{10},$

Answer 1

Here, fraction $-\frac{1}{2}$ is multiplied by$1,2,3,4,5,6,7,8,\dots \dots$and the same pattern will follow with the next terms also.

So, the next three terms are

$$\begin{gathered} -\frac{1\times 6}{2\times 6}=-\frac{6}{12} \\ -\frac{1\times 7}{2\times 7}=-\frac{7}{14} \\ -\frac{1\times 8}{2\times 8}=-\frac{8}{16} \end{gathered}$$

Hence, the next three terms are