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Home > MC2 > Chapter 1 > Lesson 1.1.5 > Problem 1-36

1-36.

Copy the rows of equations below and write what you predict will be the next five rows in the sequence, if the numbers continue to change in the same way. 1 · 9 + 2 = 11
12 · 9 + 3 = 111
123 · 9 + 4 = 1111
1234 · 9 + 5 = 11111

  1. What patterns do you see? Write your answer in complete sentences.

    Look at the equations in separate parts, then compare each row.

    In complete sentences, write about the patterns that you see from one row to the next.

  2. Use a calculator to discover if your predictions were correct. If they were not correct, look at the pattern again and figure out how it is changing.

    Added number increases by 1, first factor in the multiplication adds another digit, the next consecutive number, answers constantly add a digit of one as they increase.

    12345 · 9 + 6 = 111111
    123456 · 9 + 7 = 1111111
    1234567 · 9 + 8 = 11111111
    12345678 · 9 + 9 = 111111111
    123456789 · 9 + 10 = 1111111111