Study the pattern:

1 x 8 + 1 = 9;

12 x 8 + 2 = 98;

123 x 8 + 3 = 987

1234 x 8 + 4 = 9876;

12345 x 8 + 5 = 98765

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

Dear Student,

Please find below the solution to the asked query:

Given pattern :

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 ,

From above pattern we can see that we increase number of digits of first number , As : 1 , 12 , 123 , 1234 , 12345 , So next numbers will be 123456 , 1234567 , . . . and all these numbers multiply by same number ' 8 ' .

Now we can see the number we add is in pattern : 1 , 2 ,3 , 4 , 5 , So next will be 6 , 7 , . .

And result we get also have unique pattern , As : 9 , 98 , 987 , 9876 , 98765  , So next numbers will be 987654 , 9876543 , . . .

Therefore, we get next two steps from above pattern :

123456 $\times$ 8 + 6 = 987654

And

1234567 $\times$  8 + 7  = 9876543                                                       ( Ans )


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