Question

Study the following pattern and write the next steps for given pattern:
$$\begin{gathered} 1\times 9+2=11 \\ 12\times 9+3=111 \\ 123\times 9+4=1111 \\ 1234\times 9+5=11111 \\ \_\_\_+\_\_\_\_=\_\_\_\_\_\_\_ \\ \_\_\_+\_\_\_\_=\_\_\_\_\_\_\_ \end{gathered}$$

Answer 1

In the pattern, we observe:
$$\begin{gathered} 123.....n\times 9+(n+1)=111....upto(n+1)thplace \\ Sothenextstepwillbewrittenas: \\ 12345\times 9+6=111111 \\ Similarlythenextstepis: \\ 123456\times 9+7=1111111 \end{gathered}$$
Hence the next two steps are:

$$\begin{gathered} 12345\times 9+6=111111 \\ 123456\times 9+7=1111111 \end{gathered}$$