### Home > AC > Chapter 1 > Lesson 1.1.4 > Problem 1-35

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

, , , , ____, ____ Calculate the difference between each consecutive pair of numbers. Do you notice a pattern?

The sequence is based on addition.

, , , , ____, ____ Next:

,

, , , , ____, ____ What operation is the sequence based on?

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

, , , , ____, ____ Next:

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

, , , , ____, ____ Next:

,

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

, , , , ____, ____ Next:

,

, , , , , ____, ____

There are two parts to this pattern.

Subtract

, then add .