Question

Sophie has written a number pattern that begins with 2, 4, 7, 11, 16. If she continues this pattern, what are the next four numbers in her pattern?

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{first}\mathrm{term}=2 \\ \mathrm{second}\mathrm{term}=2+\mathbf{2}=4 \\ \mathrm{third}\mathrm{term}=4+\mathbf{3}=7 \\ \mathrm{fourth}\mathrm{term}=7+\mathbf{4}\mathbf{}=11 \\ \mathrm{fifth}\mathrm{term}=11+\mathbf{5}=16 \\ \mathrm{sixth}\mathrm{term}=16+\mathbf{}\mathbf{6}=22 \\ \mathrm{seventh}\mathrm{term}=22+\mathbf{7}=29 \\ \mathrm{eighth}\mathrm{term}=29+\mathbf{8}=37 \\ \mathrm{ninth}\mathrm{term}=37+\mathbf{9}=46 \end{gathered}$$