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  1. Copy and complete each sequence below. Using words, not numbers, describe how the patterns work. (For example, write, “Double the previous number.”) Homework Help ✎

    1. 1, 3, 6, 10, ____, ____

    2. 1, 1/2, 1/4, 1/8, ____, ____

    3. 1, 3, 9, 27, ____, ____

    4. 8, 7, 5, 2, ____, ____

    5. 49, 47, 52, 50, 55, ____, ____

What is the difference between consecutive numbers in the sequence? How does the difference between two numbers compare with the difference between two different numbers?

The sequence is based on addition.

What operation is the sequence based on?

The sequence is based on division (or multiplication by a fraction).

Look at the last two given numbers of the sequence. What is special about them?

Calculate the differences between each pair of consecutive numbers. What do you notice?

There are two parts to this pattern.

Subtract 2, then add 5.