Question

Study the pattern:
$\begin{array}{ccc}1\times 8+1=9;& 12\times 8+2=98;& 123\times 8+3=987;\\ 1234\times 8+4=9876;& 12345\times 8+5=98765& \end{array}$

Write the next two steps. Can you say how the pattern works?

Answer 1

The required next 2 steps are :

$\begin{array}{c}123456\times 8+6=987654\\ 1234567\times 8+7=987654\end{array}$

The pattern works like this:

$\begin{array}{c}1\times 8+1=9\\ 12\times 8+2=98\\ 123\times 8+3=987\\ 1234\times 8+4=9876\\ 12345\times 8+5=98765\\ 123456\times 8+6=987654\\ 1234567\times 8+7=9875643\end{array}$