question_answer 20)

Study the pattern. 1 x 8 + 1 = 9 1234 x 8 + 4 = 9876 12 x 8 + 2 = 98 12345 x 8 + 5 = 98765 123 x 8 + 3 = 987 Write the next two steps. Can you say how the pattern works? (Hint 12345 = 11111 + 1111 + 111 + 11 + 1)

Answer:

                It is clear that the next two steps will be 123456 x 8 + 6 = 987654 and 1234567 x 8 + 7 = 9876543 Pattern of the working is given below 11 + 1 = 12 111 + 11 + 1 = 123 1111 + 111 + 11 + 1 = 1234 11111 + 1111 + 111 + 11 + 1 = 12345 \[\therefore \] 1 x 8 + 1 = 9 = 1 x 8 + 1 12 x 8 + 2 = 98 = (11 + 1) x 8 + 2 123 x 8 + 3 = 987 = (111 + 11 + 1) x 8 + 3 1234 x 8 + 4 = 9876 = (1111 + 111 + 11 + 1) x 8 + 4 12345 x 8 + 5 = 98765 = (11111 + 1111 + 111 + 11 + 1) x 8 + 5 and the next two steps will be work as 123456 x 8 + 6 = 987654 = (111111 + 11111 + 1111 + 111 + 11 + 1) x 8 + 6 1234567 x 8 + 7 = 9876543 = (1111111 + 111111 + 11111 + 1111 + 111 + 11 + 1) x 8 + 7