Question

Study the given pattern and fill in the blanks.

$$\begin{gathered} 1x8+1=9 \\ 12x8+2=98 \\ 123x8+3=987 \\ 1234x8+4= \\ 12345x8+4= \\ 123456x8+4= \end{gathered}$$

Answer 1

By observing the pattern, we can say that,

$1234x8+4=9876$

Now, we know that, $12345\times 8+5=98765$ but it is asked,

$12345\times 8+4=12345\times 8+(5-1)$

$=98765-1$

$=98764$

Now, we know that, $123456\times 8+6=987654$ but it is asked,

$123456\times 8+4=12345\times 8+(6-2)$

$=987654-2$

$=987652$

Hence, the values will be $9876,98764$and $987652$.