## What is the formula to find a pattern?

If you’re calculating the third term, then n is 3. And c is a constant that you’ll need to calculate. For example, the linear number pattern of 1, 3, 5, 7, 9, … has an equation of: an = 2n – 1.

**What if the common difference is different?**

Our second term will be equal to the first term (2) plus the common difference (5), so our second term is 7….Finding Common Difference in Arithmetic Progression.

Arithmetic Sequence | Common Difference ‘d’ |
---|---|

1, 1/2, 0, -1/2,.. | d = -½. A -½ is added to each term to arrive at the next term.so the difference a2 – a1 = -½. |

**How do you solve pattern problems?**

More Problem-Solving Strategies: Look for a Pattern

- Step 1: Make a Table. The first step to look for a pattern is to make a table showing the relationships that are there.
- Step 2: Find the Relationship Between Numbers.
- Step 3: Make a Prediction.
- Step 4: Check the Answer.

### What is the difference between a pattern and a rule?

Use rules to extend patterns and write pattern rules. A pattern is a group of numbers, shapes, or objects that follow a rule while repeating or changing. To extend a pattern you can use a table or a pattern rule that relates the term number to the pattern rule.

**How do you find the common difference between common ratios?**

It is called the common ratio because it is the same to each number, or common, and it also is the ratio between two consecutive numbers in the sequence. To determine the common ratio, you can just divide each number from the number preceding it in the sequence.

**What does it mean to describe a pattern?**

A pattern is the repeated or regular way in which something happens or is done. A pattern is an arrangement of lines or shapes, especially a design in which the same shape is repeated at regular intervals over a surface.