Question

Study the pattern 1×8+1=912×8+2=98Next step is

Answer 1

Step-by-step explanation:

1 × 8 + 1 = 9

12 × 8 + 2 = 98

i.e. (11 + 1) × 8 + 2 = 11 × 8 + 1 × 8 + 2 = 88 + 8 + 2 = 98

123 × 8 + 3 = 987 ;

i.e. (111 + 11 + 1) × 8 + 3 = 111 × 8 + 11 × 8 + 1 × 8 + 2

= 888 + 88 + 8 + 3 = 987

1234 × 8 + 4 = 9876 ;

i.e. (1111 + 111 + 11 + 1) × 8 + 4 = 1111 × 8 + 111 × 8 + 11 × 8 + 1 × 8 + 4

= 8888 + 888 + 88 + 8 + 4 = 9876

12345 × 8 + 5 = 98765

i.e. (11111 + 1111 + 111 + 11 + 1) × 8 + 5

= 11111 × 8 + 1111 × 8 + 111 × 8 + 11 × 8 + 1 × 8 + 5

= 88888 + 8888 + 888 + 88 + 8 + 5 = 98765

Extending the pattern, we have

123456 × 8 + 6

= (111111 + 11111 + 1111 + 111 + 11 + 1) × 8 + 5

= 111111 × 8 + 11111 × 8 + 1111 × 8 + 111 × 8 + 11 × 8 + 1 × 8 + 5

= 888888 + 88888 + 8888 + 888 + 88 + 8 + 6 = 987654

1234567 × 8 + 7

= (1111111 + 111111 + 11111 + 1111 + 111 + 11 + 1) × 8 + 7

= 1111111 × 8 + 111111 × 8 + 11111 × 8 + 1111 × 8 + 111 × 8 + 11 × 8 + 1 × 8 + 7

= 8888888 + 888888 + 88888 + 8888 + 888 + 88 + 8 + 7 = 9876543

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